Field of the Invention
[0001] The present invention is in the field of computer controlled printing devices. In
particular, the field is liquid ink drop on demand (DOD) printing systems.
Background of the Invention
[0002] Many different types of digitally controlled printing systems have been invented,
and many types are currently in production. These printing systems use a variety of
actuation mechanisms, a variety of marking materials, and a variety of recording media
Examples of digital printing systems in current use include: laser electrophotographic
printers; LED electrophotographic printers; dot matrix impact printers; thermal paper
printers; film recorders; thermal wax printers; dye diffusion thermal transfer printers;
and ink jet printers. However, at present, such electronic printing systems have not
significantly replaced mechanical printing presses, even though this conventional
method requires very expensive setup and is seldom commercially viable unless a few
thousand copies of a particular page are to be printed. Thus, there is a need for
improved digitally controlled printing systems, for example, being able to produce
high quality color images at a high-speed and low cost, using standard paper.
[0003] Inkjet printing has become recognized as a prominent contender in the digitally controlled,
electronic printing arena because, e.g., of its non-impact, low-noise characteristics,
its use of plain paper and its avoidance of toner transfers and fixing.
[0004] Many types of ink jet printing mechanisms have been invented. These can be categorized
as either continuous ink jet (CIJ) or drop on demand (DOD) ink jet. Continuous ink
jet printing dates back to at least 1929: Hansell, US Pat. No. 1,941,001.
[0005] Sweet et al US Pat. No. 3,373,437, 1967, discloses a array of continuous ink jet
nozzles where ink drops to be printed are selectively charged and deflected towards
the recording medium. This technique is known as binary deflection CIJ, and is used
by several manufacturers, including Elmjet and Scitex.
[0006] Hertz et al US Pat. No. 3,416,153, 1966, discloses a method of achieving variable
optical density of printed spots in CIJ printing using the electrostatic dispersion
of a charged drop stream to modulate the number of droplets which pass through a small
aperture. This technique is used in ink jet printers manufactured by Iris Graphics.
[0007] Kyser et al US Pat. No. 3,946,398, 1970, discloses a DOD ink jet printer which applies
a high voltage to a piezoelectric crystal, causing the crystal to bend, applying pressure
on an ink reservoir and jetting drops on demand. Many types of piezoelectric drop
on demand printers have subsequently been invented, which utilize piezoelectric crystals
in bend mode, push mode, shear mode, and squeeze mode. Piezoelectric DOD printers
have achieved commercial success using hot melt inks (for example, Tektronix and Dataproducts
printers), and at image resolutions up to 720 dpi for home and office printers (Seiko
Epson). Piezoelectric DOD printers have a advantage in being able to use a wide range
of inks. However, piezoelectric printing mechanisms usually require complex high voltage
drive circuitry and bulky piezoelectric crystal arrays, which are disadvantageous
in regard to manufacturability and performance.
[0008] Endo et al GB Pat. No. 2,007,162, 1979, discloses a electrothermal DOD ink jet printer
which applies a power pulse to an electrothermal transducer (heater) which is in thermal
contact with ink in a nozzle. The heater rapidly heats water based ink to a high temperature,
whereupon a small quantity of ink rapidly evaporates, forming a bubble. The formation
of these bubbles results in a pressure wave which cause drops of ink to be ejected
from small apertures along the edge of the heater substrate. This technology is known
as Bubbleje™ (trademark of Canon K.K. of Japan), and is used in a wide range of printing
systems from Canon, Xerox, and other manufacturers.
[0009] Vaught et al US Pat. No. 4,490,728, 1982, discloses an electrothermal drop ejection
system which also operates by bubble formation. In this system, drops are ejected
in a direction normal to the plane of the heater substrate, through nozzles formed
in an aperture plate positioned above the heater. This system is known as Thermal
Ink Jet, and is manufactured by Hewlett-Packard. In this document, the term Thermal
Ink Jek is used to refer to both the Hewlett-Packard system and systems commonly known
as Bubblejet™.
[0010] Thermal Ink Jet printing typically requires approximately 20 µJ over a period of
approximately 2 µs to eject each drop. The 10 Watt active power consumption of each
heater is disadvantageous in itself and also necessitates special inks, complicates
the driver electronics and precipitates deterioration of heater elements.
[0011] Other ink jet printing systems have also been described in technical literature,
but are not curtently used on a commercial basis. For example, U.S. Patent No. 4,275,290
discloses a system wherein the coincident address of predetermined print head nozzles
with heat pulses and hydrostatic pressure, allows ink to flow freely to spacer-separated
paper, passing beneath the print head. U.S. Patent Nos. 4,737,803; 4,737,803 and 4,748,458
disclose ink jet recording systems wherein the coincident address of ink in print
head nozzles with heat pulses and an electrostatically attractive field cause ejection
of ink drops to a print sheet
[0012] Each of the above-described inkjet printing systems has advantages and disadvantages.
However, there remains a widely recognized need for an improved ink jet printing approach,
providing advantages for example, as to cost, speed, quality, reliability, power usage,
simplicity of construction and operation, durability and consumables.
Summary of the invention
[0013] My concurrently filed application, entitled "A Liquid Ink Printing Apparatus and
System" and describes new methods and apparatus that afford significant improvements
toward overcoming the prior art problems discussed above. Those inventions offer important
advantages, e.g., in regard to drop size and placement accuracy, as to printing speeds
attainable, as to power usage, as to durability and operative thermal stresses encountered
and as to other printer performance characteristics, as well as in regard to manufacturability
and the characteristics of useful inks. One important purpose of the present invention
is to further enhance the structures and methods described in that patent applications
and thereby contribute to the advancement of printing technology.
[0014] Thus, one significant object of the present invention is to provide new methods of
drop on demand ink printing that are improved in regard to prior approaches. In important
aspects, the methods of this invention offer advantages as to drop size and placement
accuracy, as to printing speed, as to power usage, as to durability and operative
thermal stresses and to various other printing performance characteristics noted in
more detail hereinafter. In other important aspects, the present invention offers
significant advantages as to manufacture and as to the nature of its useful inks.
[0015] The present invention is defined in the appended claims.
[0016] In one constitution, the present invention comprises a method of drop on demand printing
including the steps of (1) addressing the ink in selected nozzles of a print head
with the coincident forces of (a) above ambient manifold pressure and (b) a selection
energy pulse that, in combined effects, are sufficient to cause addressed ink portions
to move out of their related nozzle to a predetermined region, beyond the ink in non-selected
nozzles, but not so far as to separate from their contiguous ink mass; and (2) during
such addressing step, attracting ink from the print head toward a print zone with
forces of magnitude and proximity that (a) cause the selected ink moved into said
region to separate from its contiguous ink mass and (b) do not cause non-addressed
ink to so separate.
[0017] In certain preferred embodiments, the drop selecting means comprises heating ink
to reduce surface tension in coincidence with above ambient air pressure application
to the ink. In further preferred embodiments, drop separation means include predetermined
ink conductivity characteristics in combination with predetermined uniform electric
fields.
[0018] In another preferred aspect, the present invention comprises a thermally activated
liquid ink printing head being characterized by the energy required to eject a drop
of ink being less than the energy required to raise the temperature of the bulk ink
of a volume equal to the volume of said ink drop above the ambient ink temperature
to a temperature which is below the drop ejection temperature.
[0019] In another preferred aspect, the present invention comprises a thermally activated
drop on demand printer wherein ink utilized is solid at room temperature, but liquid
at operating temperature and selection means comprise coincidence of varying pressure
pulses and selected heating to reduce the viscosity of ink in the vicinity of drops
to be selected.
[0020] In yet another aspect, the invention provides a thermally activated liquid ink printing
head being characterized by the energy required to eject a drop of ink being less
than the energy required to raise the temperature of the bulk ink of a volume equal
to the volume of the ink drop above the ambient ink temperature to a temperature which
is below the drop ejection temperature.
Brief Description of the Drawings
[0021]
Figure 1(a) shows a simplified block schematic diagram of one exemplary printing apparatus
according to the present invention.
Figure 1(b) shows a cross section of one variety of nozzle tip in accordance with
the invention.
Figures 2(a) to 2(f) show fluid dynamic simulations of drop selection.
Figure 2(g) shows fluid streamlines 50 microseconds after the beginning of the drop
selection heater pulse.
Figure 3(a) shows successive meniscus positions at intervals during a drop selection
cycle.
Figure 3(b) is a graph of meniscus position versus time during a heating pulse.
Figure 3(c) shows the temperatures at various points during a drop selection cycle.
Figure 3(d) shows measured surface tension versus temperature curves for various ink
additives.
Figure 3(e) shows the power pulses which are applied to the nozzle heater to generate
the temperature curves of figure 3(c)
Figure 4 shows a block schematic diagram of print head drive circuitry for practice
of the invention. Figure 5 shows projected manufacturing yields for an A4 page width
color print head embodying features of the invention, with and without fault tolerance.
Figure 6(a) shows a generalized block diagram of a printing system using one embodiment
of the present invention.
Figure 6(b) shows a cross section of an example print head nozzle embodiment of the
invention.
Figure 7 shows three cycles of pressure oscillation as a function of time.
Figure 8 shows the temperature at various points in the nozzle as a function of time,
with an electrothermal pulse applied during the third cycle of Figure 7.
Figure 9 shows the position of the meniscus extremum as a function of time during
the period of Figure 7.
Figure 10(a), 10(c), 10(e), 10(g) and 10(i) show thermal contours and drop evolution
at various times during a drop ejection cycle.
Figure 10(b), 10(d), 10(f), 10(h) and 10(j) show viscosity contours and drop evolution
at various times during a drop ejection cycle.
Figure 11 shows the movement of meniscus position during a cycle when the ink drop
is not selected.
Figure 12 shows the movement of meniscus position during a drop selection cycle. Drop
separation is not shown.
Figure 13 shows the position of the meniscus extremum as a function of time for a
print head operating at half the frequency of the print head in Figures 7 to 12.
Figure 14 shows the movement of meniscus position during a cycle when the ink drop
is not selected in a print head operating at half the frequency of the print head
in Figures 7 to 12.
Figure 15 shows the movement of meniscus position during a drop selection cycle in
a print head operating at half the frequency of the print head in Figures 7 to 12.
Drop separation is not shown.
Detailed Description of Preferred Embodiments
[0022] In one general aspect, the invention constitutes a drop-on-demand printing mechanism
wherein the means of selecting drops to be printed produces a difference in position
between selected drops and drops which are not selected, but which is insufficient
to cause the ink drops to overcome the ink surface tension and separate from the body
of ink, and wherein an alternative means is provided to cause separation of the selected
drops from the body of ink.
[0023] The separation of drop selection means from drop separation means significantly reduces
the energy required to select which ink drops are to be printed. Only the drop selection
means must be driven by individual signals to each nozzle. The drop separation means
can be a field or condition applied simultaneously to all nozzles.
[0024] The drop selection means may be chosen from, but is not limited to, the following
list:
1) Electrothermal reduction of surface tension of pressurized ink
2) Electrothermal bubble generation, with insufficient bubble volume to cause drop
ejection
3) Piezoelectric, with insufficient volume change to cause drop ejection
4) Electrostatic attraction with one electrode per nozzle
[0025] The drop separation means may be chosen from, but is not limited to, the following
list:
1) Proximity (recording medium in close proximity to print head)
2) Proximity with oscillating ink pressure
3) Electrostatic attraction
4) Magnetic attraction
[0026] The table "DOD printing technology targets" shows some desirable characteristics
of drop on demand printing technology. The table also lists some methods by which
some embodiments described herein, or in other of my related applications, provide
improvements over the prior art.
| DOD printing technology targets |
| Target |
Method of achieving improvement over prior art |
| High speed operation |
Practical, low cost, pagewidth printing heads with more than 10,000 nozzles. Monolithic
A4 pagewidth print heads can be manufactured using standard 300 mm (12") silicon wafers |
| High image quality |
High resolution (800 dpi is sufficient for most applications), six color process to
reduce image noise |
| Full color operation |
Halftoned process color at 800 dpi using stochastic screening |
| Ink flexibility |
Low operating ink temperature and no requirement for bubble formation |
| Low power requirements |
Low power operation results from drop selection means not being required to fully
eject drop |
| Low cost |
Monolithic print head without aperture plate, high manufacturing yield, small number
of electrical connections, use of modified existing CMOS manufacturing facilities |
| High manufacturing yield |
Integrated fault tolerance in printing head |
| High reliability |
Integrated fault tolerance in printing head. Elimination of cavitation and kogation.
Reduction of thermal shock. |
| Small number of electrical connections |
Shift registers, control logic, and drive circuitry can be integrated on a monolithic
print head using standard CMOS processes |
| Use of existing VLSI manufacturing facilities |
CMOS compatibility. This can be achieved because the heater drive power is less is
than 1% of Thermal Ink Jet heater drive power |
| Electronic collation |
A new page compression system which can achieve 100:1 compression with insignificant
image degradation, resulting in a compressed data rate low enough to allow real-time
printing of any combination of thousands of pages stored on a low cost magnetic disk
drive. |
[0027] In thermal ink jet (TIJ) and piezoelectric ink jet systems, a drop velocity of approximately
10 meters per second is preferred to ensure that the selected ink drops overcome ink
surface tension, separate from the body of the ink, and strike the recording medium.
These systems have a very low efficiency of conversion of electrical energy into drop
kinetic energy. The efficiency of TIJ systems is approximately 0.02%). This means
that the drive circuits for TIJ print heads must switch high currents. The drive circuits
for piezoelectric ink jet heads must either switch high voltages, or drive highly
capacitive loads. The total power consumption of pagewidth TIJ printheads is also
very high. An 800 dpi A4 full color pagewidth TIJ print head printing a four color
black image in one second would consume approximately 6 kW of electrical power, most
of which is converted to waste heat. The difficulties of removal of this amount of
heat precludes the production of low cost, high speed, high resolution compact pagewidth
TIJ systems.
[0028] One important feature of embodiments of the invention is a means of significantly
reducing the energy required to select which ink drops are to be printed. This is
achieved by separating the means for selecting ink drops from the means for ensuring
that selected drops separate from the body of ink and form dots on the recording medium.
Only the drop selection means must be driven by individual signals to each nozzle.
The drop separation means can be a field or condition applied simultaneously to all
nozzles.
[0029] The table "Drop selection means" shows some of the possible means for selecting drops
in accordance with the invention. The drop selection means is only required to create
sufficient change in the position of selected drops that the drop separation means
can discriminate between selected and unselected drops.
| Drop selection means |
| Method |
Advantage |
Limitation |
| 1. Electrothermal reduction of surface tension of pressurized ink |
Low temperature increase and low drop selection energy. Can be used with many ink
types. Simple fabrication. CMOS drive circuits can be fabricated on same substrate |
Requires ink pressure regulating mechanism. Ink surface tension must reduce substantially
as temperature increases |
| 2. Electrothermal reduction of ink viscosity, combined with oscillating ink pressure |
Medium drop selection energy, suitable for hot melt and oil based inks. Simple fabrication.
CMOS drive circuits can be fabricated on same substrate |
Requires ink pressure oscillation mechanism. Ink must have a large decrease in viscosity
as temperature increases |
| 3. Electrothermal bubble generation, with insufficient bubble volume to cause drop
ejection |
Well known technology, simple fabrication, bipolar drive circuits can be fabricated
on same substrate |
High drop selection energy, requires water based ink, problems with kogation, cavitation,
thermal stress |
| 4. Piezoelectric, with insufficient volume change to came drop ejection |
Many types of ink base can be used |
High manufacturing cost, incompatible with integrated circuit processes, high drive
voltage, mechanical complexity, bulky |
| 5. Electrostatic attraction with one electrode per nozzle |
Simple electrode fabrication |
Nozzle pitch must be relatively large. Crosstalk between adjacent electric fields.
Requires high voltage drive circuits |
[0030] Other drop selection means may also be used.
[0031] The preferred drop selection means for water based inks is method 1: "Electrothermal
reduction of surface tension of pressurized ink". This drop selection means provides
many advantages over other systems, including; low power operation (approximately
1% of TIJ), compatibility with CMOS VLSI chip fabrication, low voltage operation (approx.
10 V), high nozzle density, low temperature operation, and wide range of suitable
ink formulations. The ink must exhibit a reduction in surface tension with increasing
temperature.
[0032] The preferred drop selection means for hot melt or oil based inks is method 2: "Electrothermal
reduction of ink viscosity, combined with oscillating ink pressure". This drop selection
means is particularly suited for use with inks which exhibit a large reduction of
viscosity with increasing temperature, but only a small reduction in surface tension.
This occurs particularly with non-polar ink carriers with relatively high molecular
weight. This is especially applicable to hot melt and oil based inks.
[0033] The table "Drop separation means" shows some of the possible methods for separating
selected drops from the body of ink, and ensuring that the selected drops form dots
on the printing medium. The drop separation means discriminates between selected drops
and unselected drops to ensure that unselected drops do not form dots on the printing
medium.
| Drop separation means |
| Means |
Advantage |
Limitation |
| 1. Electrostatic attraction |
Can print on rough surfaces, simple implementation |
Requires high voltage power supply |
| 2. AC electric field |
Higher field strength is possible than electrostatic, operating margins can be increased,
ink pressure reduced, and dust accumulation is reduced |
Requires high voltage AC power supply synchronized to drop ejection phase. Multiple
drop phase operation is difficult |
| 3. Proximity (print head in close proximity to, but not touching, recording medium) |
Very small spot sizes can be achieved. Very low power dissipation. High drop position
accuracy |
Requires print medium to be very close to print head surface, not suitable for rough
print media, usually requires transfer roller or belt |
| 4. Transfer Proximity (print head is in close proximity to a transfer roller or belt |
Very small spot sizes can be achieved, very low power dissipation, high accuracy,
can print on rough paper |
Not compact due to size of transfer roller or transfer belt. |
| 5. Proximity with oscillating ink pressure |
Useful for hot melt inks using viscosity reduction drop selection method, reduces
possibility of nozzle clogging, can use pigments instead of dyes |
Requires print medium to be very close to print head surface, not suitable for rough
print media. Requires ink pressure oscillation apparatus |
| 6. Magnetic attraction |
Can print on rough surfaces. Low power if permanent magnets are used |
Requires uniform high magnetic field strength, requires magnetic ink |
[0034] Other drop separation means may also be used.
[0035] The preferred drop separation means depends upon the intended use. For most applications,
method 1: "Electrostatic attraction", or method 2: "AC electric field" are most appropriate.
For applications where smooth coated paper or film is used, and very high speed is
not essential, method 3: "Proximity" may be appropriate. For high speed, high quality
systems, method 4: "Transfer proximity" can be used. Method 6: "Magnetic attraction"
is appropriate for portable printing systems where the print medium is too rough for
proximity printing, and the high voltages required for electrostatic drop separation
are undesirable. There is no clear 'best' drop separation means which is applicable
to all circumstances.
[0036] A simplified schematic diagram of one preferred printing system according to the
invention appears in Figure 1(a).
[0037] An image source 52 may be raster image data from a scanner or computer, or outline
image data in the form of a page description language (PDL), or other forms of digital
image representation. This image data is converted to a pixel-mapped page image by
the image processing system 53. This may be a raster image processor (RIP) in the
case of PDL image data, or may be pixel image manipulation in the case of raster image
data. Continuous tone data produced by the image processing unit 53 is halftoned.
Halftoning is performed by the Digital Halftoning unit 54. Halftoned bitmap image
data is stored in the image memory 72. Depending upon the printer and system configuration,
the image memory 72 may be a full page memory, or a band memory. Heater control circuits
71 read data from the image memory 72 and apply time-varying electrical pulses to
the nozzle heaters (103 in figure 1(b)) that are part of the print head 50. These
pulses are applied at an appropriate time, and to the appropriate nozzle, so that
selected drops will form spots on the recording medium 51 in the appropriate position
designated by the data in the image memory 72.
[0038] The recording medium 51 is moved relative to the head 50 by a paper transport system
65, which is electronically controlled by a paper transport control system 66, which
in turn is controlled by a microcontroller 315. The paper transport system shown in
figure 1(a) is schematic only, and many different mechanical configurations are possible.
In the case of pagewidth print heads, it is most convenient to move the recording
medium 51 past a stationary head 50. However, in the case of scanning print systems,
it is usually most convenient to move the head 50 along one axis (the sub-scanning
direction) and the recording medium 51 along the orthogonal axis (the main scanning
direction), in a relative raster motion. The microcontroller 315 may also control
the ink pressure regulator 63 and the heater control circuits 71.
[0039] For printing using surface tension reduction, ink is contained in an ink reservoir
64 under pressure. In the quiescent state (with no ink drop ejected), the ink pressure
is insufficient to overcome the ink surface tension and eject a drop. A constant ink
pressure can be achieved by applying pressure to the ink reservoir 64 under the control
of an ink pressure regulator 63. Alternatively, for larger printing systems, the ink
pressure can be very accurately generated and controlled by situating the top surface
of the ink in the reservoir 64 an appropriate distance above the head 50. This ink
level can be regulated by a simple float valve (not shown).
[0040] For printing using viscosity reduction, ink is contained in an ink reservoir 64 under
pressure, and the ink pressure is caused to oscillate. The means of producing this
oscillation may be a piezoelectric actuator mounted in the ink channels (not shown).
[0041] When properly arranged with the drop separation means, selected drops proceed to
form spots on the recording medium 51, while unselected drops remain part of the body
of ink.
[0042] The ink is distributed to the back surface of the head 50 by an ink channel device
75. The ink preferably flows through slots and/or holes etched through the silicon
substrate of the head 50 to the front surface, where the nozzles and actuators are
situated. In the case of thermal selection, the nozzle actuators are electrothermal
heaters.
[0043] In some types of printers according to the invention, an external field 74 is required
to ensure that the selected drop separates from the body of the ink and moves towards
the recording medium 51. A convenient external field 74 is a constant electric field,
as the ink is easily made to be electrically conductive. In this case, the paper guide
or platen 67 can be made of electrically conductive material and used as one electrode
generating the electric field. The other electrode can be the head 50 itself. Another
embodiment uses proximity of the print medium as a means of discriminating between
selected drops and unselected drops.
[0044] For small drop sizes gravitational force on the ink drop is very small; approximately
10
-4 of the surface tension forces, so gravity can be ignored in most cases. This allows
the print head 50 and recording medium 51 to be oriented in any direction in relation
to the local gravitational field. This is an important requirement for portable printers.
[0045] Figure 1(b) is a detail enlargement of a cross section of a single microscopic nozzle
tip embodiment of the invention, fabricated using a modified CMOS process. The nozzle
is etched in a substrate 101, which may be silicon, glass, metal, or any other suitable
material. If substrates which are not semiconductor materials are used, a semiconducting
material (such as amorphous silicon) may be deposited on the substrate, and integrated
drive transistors and data distribution circuitry may be formed in the surface semiconducting
layer. Single crystal silicon (SCS) substrates have several advantages, including:
1) High performance drive transistors and other circuitry can be fabricated in SCS;
2) Print heads can be fabricated in existing facilities (fabs) using standard VLSI
processing equipment;
3) SCS has high mechanical strength and rigidity; and
4) SCS has a high thermal conductivity.
[0046] In this example, the nozzle is of cylindrical form, with the heater 103 forming an
annulus. The nozzle tip 104 is formed from silicon dioxide layers 102 deposited during
the fabrication of the CMOS drive circuitry. The nozzle tip is passivated with silicon
nitride. The protruding nozzle tip controls the contact point of the pressurized ink
100 on the print head surface. The print head surface is also hydrophobized to prevent
accidental spread of ink across the front of the print head.
[0047] Many other configurations of nozzles are possible, and nozzle embodiments of the
invention may vary in shape, dimensions, and materials used. Monolithic nozzles etched
from the substrate upon which the heater and drive electronics are formed have the
advantage of not requiring an orifice plate. The elimination of the orifice plate
has significant cost savings in manufacture and assembly. Recent methods for eliminating
orifice plates include the use of 'vortex' actuators such as those described in Domoto
et al US Pat. No. 4,580,158, 1986, assigned to Xerox, and Miller et al US Pat. No.
5,371,527, 1994 assigned to Hewlett-Packard. These, however are complex to actuate,
and difficult to fabricate. The preferred method for elimination of orifice plates
for print heads of the invention is incorporation of the orifice into the actuator
substrate.
[0048] This type of nozzle may be used for print heads using various techniques for drop
separation.
Operation with Electrostatic Drop Separation
[0049] As a first example, operation using thermal reduction of surface tension and electrostatic
drop separation is shown in figure 2.
[0050] Figure 2 shows the results of energy transport and fluid dynamic simulations performed
using FIDAP, a commercial fluid dynamic simulation software package available from
Fluid Dynamics Inc., of Illinois, USA. This simulation is of a thermal drop selection
nozzle embodiment with a diameter of 8 µm, at an ambient temperature of 30°C. The
total energy applied to the heater is 276 nJ, applied as 69 pulses of 4 nJ each. The
ink pressure is 10 kPa above ambient air pressure, and the ink viscosity at 30°C is
1.84 cPs. The ink is water based, and includes a sol of 0.1% palmitic acid to achieve
an enhanced decrease in surface tension with increasing temperature. A cross section
of the nozzle tip from the central axis of the nozzle to a radial distance of 40 µm
is shown. Heat flow in the various materials of the nozzle, including silicon, silicon
nitride, amorphous silicon dioxide, crystalline silicon dioxide, and water based ink
are simulated using the respective densities, heat capacities, and thermal conductivities
of the materials. The time step of the simulation is 0.1 µs.
[0051] Figure 2(a) shows a quiescent state, just before the heater is actuated. An equilibrium
is created whereby no ink escapes the nozzle in the quiescent state by ensuring that
the ink pressure plus external electrostatic field is insufficient to overcome the
surface tension of the ink at the ambient temperature. In the quiescent state, the
meniscus of the ink does not protrude significantly from the print head surface, so
the electrostatic field is not significantly concentrated at the meniscus.
[0052] Figure 2(b) shows thermal contours at 5°C intervals 5 µs after the start of the heater
energizing pulse. When the heater is energized, the ink in contact with the nozzle
tip is rapidly heated. The reduction in surface tension causes the heated portion
of the meniscus to rapidly expand relative to the cool ink meniscus. This drives a
convective flow which rapidly transports this heat over part of the free surface of
the ink at the nozzle tip. It is necessary for the heat to be distributed over the
ink surface, and not just where the ink is in contact with the heater. This is because
viscous drag against the solid heater prevents the ink directly in contact with the
heater from moving.
[0053] Figure 2(c) shows thermal contours at 5°C intervals 10 µs after the start of the
heater energizing pulse. The increase in temperature causes a decrease in surface
tension, disturbing the equilibrium of forces. As the entire meniscus has been heated,
the ink begins to flow.
[0054] Figure 2(d) shows thermal contours at 5°C intervals 20 µs after the start of the
heater energizing pulse. The ink pressure has caused the ink to flow to a new meniscus
position, which protrudes from the print head. The electrostatic field becomes concentrated
by the protruding conductive ink drop.
[0055] Figure 2(e) shows thermal contours at 5°C intervals 30 µs after the start of the
heater energizing pulse, which is also 6 µs after the end of the heater pulse, as
the heater pulse duration is 24 µs. The nozzle tip has rapidly cooled due to conduction
through the oxide layers, and conduction into the flowing ink. The nozzle tip is effectively
'water cooled' by the ink. Electrostatic attraction causes the ink drop to begin to
accelerate towards the recording medium. Were the heater pulse significantly shorter
(less than 16 µs in this case) the ink would not accelerate towards the print medium,
but would instead return to the nozzle.
[0056] Figure 2(f) shows thermal contours at 5°C intervals 26 µs after the end of the heater
pulse. The temperature at the nozzle tip is now less than 5°C above ambient temperature.
This causes an increase in surface tension around the nozzle tip. When the rate at
which the ink is drawn from the nozzle exceeds the viscously limited rate of ink flow
through the nozzle, the ink in the region of the nozzle tip 'necks', and the selected
drop separates from the body of ink. The selected drop then travels to the recording
medium under the influence of the external electrostatic field. The meniscus of the
ink at the nozzle tip then returns to its quiescent position, ready for the next heat
pulse to select the next ink drop. One ink drop is selected, separated and forms a
spot on the recording medium for each heat pulse. As the heat pulses are electrically
controlled, drop on demand ink jet operation can be achieved.
[0057] Figure 3(a) shows successive meniscus positions during the drop selection cycle at
5 µs intervals, starting at the beginning of the heater energizing pulse.
[0058] Figure 3(b) is a graph of meniscus position versus tune, showing the movement of
the point at the centre of the meniscus. The heater pulse sorts 10 µs into the simulation.
[0059] Figure 3(c) shows the resultant curve of temperature with respect to time at various
points in the nozzle. The vertical axis of the graph is temperature, in units of 100°C.
The horizontal axis of the graph is time, in units of 10 µs. The temperature curve
shown in figure 3(b) was calculated by FIDAP, using 0.1 µs time steps. The local ambient
temperature is 30 degrees C. Temperature histories at three points are shown:
A - Nozzle tip: This shows the temperature history at the circle of contact between
the passivation layer, the ink, and air.
B - Meniscus midpoint: This is at a circle on the ink meniscus midway between the
nozzle tip and the centre of the meniscus.
C-Chip surface: This is at a point on the print head surface 20 µm from the centre
of the nozzle. The temperature only rises a few degrees. This indicates that active
circuitry can be located very close to the nozzles without experiencing performance
or lifetime degradation due to elevated temperatures.
[0060] Figure 3(e) shows the power applied to the heater. Optimum operation requires a sharp
rise in temperature at the start of the heater pulse, a maintenance of the temperature
a little below the boiling point of the ink for the duration of the pulse, and a rapid
fall in temperature at the end of the pulse. To achieve this, the average energy applied
to the heater is varied over the duration of the pulse. In this case, the variation
is achieved by pulse frequency modulation of 0.1 µs sub-pulses, each with an energy
of 4 nJ. The peak power applied to the heater is 40 mW, and the average power over
the duration of the heater pulse is 11.5 mW. The sub-pulse frequency in this case
is 5 Mhz. This can readily be varied without significantly affecting the operation
of the print head. A higher sub-pulse frequency allows finer control over the power
applied to the heater. A sub-pulse frequency of 13.5 Mhz is suitable, as this frequency
is also suitable for minimizing the effect of radio frequency interference (RFI).
Inks with a negative temperature coefficient of surface tension
[0061] The requirement for the surface tension of the ink to decrease with increasing temperature
is not a major restriction, as most pure liquids and many mixtures have this property.
Exact equations relating surface tension to temperature for arbitrary liquids are
not available. However, the following empirical equation derived by Ramsay and Shields
is satisfactory for many liquids:

[0062] Where γ
T is the surface tension at temperature
T,
k is a constant,
Tc is the critical temperature of the liquid,
M is the molar mass of the liquid,
x is the degree of association of the liquid, and ρ is the density of the liquid. This
equation indicates that the surface tension of most liquids falls to zero as the temperature
reaches the critical temperature of the liquid. For most liquids, the critical temperature
is substantially above the boiling point at atmospheric pressure, so to achieve an
ink with a large change in surface tension with a small change in temperature around
a practical ejection temperature, the admixture of surfactants is recommended.
[0063] The choice of surfactant is important. For example, water based ink for thermal ink
jet printers often contains isopropyl alcohol (2-propanol) to reduce the surface tension
and promote rapid drying. Isopropyl alcohol has a boiling point of 82.4°C, lower than
that of water. As the temperature rises, the alcohol evaporates faster than the water,
decreasing the alcohol concentration and causing an increase in surface tension. A
surfactant such as 1-Hexanol (b.p. 158°C) can be used to reverse this effect, and
achieve a surface tension which decreases slightly with temperature. However, a relatively
large decrease in surface tension with temperature is desirable to maximize operating
latitude. A surface tension decrease of 20 mN/m over a 30°C temperature range is preferred
to achieve large operating margins, while as little as 10mN/m can be used to achieve
operation of the print head according to the present invention.
Inks With Large -ΔγT
[0064] Several methods may be used to achieve a large negative change in surface tension
with increasing temperature. Two such methods are:
1) The ink may contain a low concentration sol of a surfactant which is solid at ambient
temperatures, but melts at a threshold temperature. Particle sizes less than 1,000
Å are desirable. Suitable surfactant melting points for a water based ink are between
50°C and 90°C, and preferably between 60°C ad 80°C.
2) The ink may contain an oil/water microemulsion with a phase inversion temperature
(PIT) which is above the maximum ambient temperature, but below the boiling point
of the ink. For stability, the PIT of the microemulsion is preferably 20°C or more
above the maximum non-operating temperature encountered by the ink. A PIT of approximately
80°C is suitable.
Ink- with Surfactant Sols
[0065] Inks can be prepared as a sol of small particles of a surfactant which melts in the
desired operating temperature range. Examples of such surfactants include carboxylic
acids with between 14 and 30 carbon atoms, such as:
| Name |
Formula |
m.p. |
Synonym |
| Tetradecanoic acid |
CH3(CH2)12COOH |
58°C |
Myristic acid |
| Hexadecanoic acid |
CH3(CH2)14COOH |
63°C |
Palmitic acid |
| Octadecanoic acid |
CH3(CH2)15COOH |
71°C |
Stearic acid |
| Eicosanoic acid |
CH3(CH2)16COOH |
77°C |
Arachidic acid |
| Docosanoic acid |
CH3(CH2)20COOH |
80°C |
Behenic acid |
[0066] As the melting point of sols with a small particle size is usually slightly less
than of the bulk material, it is preferable to choose a carboxylic acid with a melting
point slightly above the desired drop selection temperature. A good example is Arachidic
acid.
[0067] These carboxylic acids are available in high purity and at low cost. The amount of
surfactant required is very small, so the cost of adding them to the ink is insignificant.
A mixture of carboxylic acids with slightly varying chain lengths can be used to spread
the melting points over a range of temperatures. Such mixtures will typically cost
less than the pure acid.
[0068] It is not necessary to restrict the choice of surfactant to simple unbranched carboxylic
acids. Surfactants with branched chains or phenyl groups, or other hydrophobic moieties
can be used. It is also not necessary to use a carboxylic acid. Many highly polar
moieties are suitable for the hydrophilic end of the surfactant. It is desirable that
the polar end be ionizable in water, so that the surface of the surfactant particles
can be charged to aid dispersion and prevent flocculation. In the case of carboxylic
acids,this can be achieved by adding an alkali such as sodium hydroxide or potassium
hydroxide.
Preparation of Inks with Surfactant Sols
[0069] The surfactant sol can be prepared separately at high concentration, and added to
the ink in the required concentration.
[0070] An example process for creating the surfactant sol is as follows:
1) Add the carboxylic acid to purified water in an oxygen free atmosphere.
2) Heat the mixture to above the melting point of the carboxylic acid. The water can
be brought to a boil.
3) Ultrasonicate the mixture, until the typical size of the carboxylic acid droplets
is between 100Å and 1,000Å.
4) Allow the mixture to cool.
5) Decant the larger particles from the top of the mixture.
6) Add an alkali such as NaOH to ionize the carboxylic acid molecules on the surface
of the particles. A pH of approximately 8 is suitable. This step is not absolutely
necessary, but helps stabilize the sol.
7) Centrifuge the sol. As the density of the carboxylic acid is lower than water,
smaller particles will accumulate at the outside of the centrifuge, and larger particles
in the centre.
8) Filter the sol using a microporous filter to eliminate any particles above 5000
Å.
9) Add the surfactant sol to the ink preparation. The sol is required only in very
dilute concentration.
[0071] The ink preparation will also contain either dye(s) or pigment(s), bactericidal agents,
agents to enhance the electrical conductivity of the ink if electrostatic drop separation
is used, humectants, and other agents as required.
[0072] Anti-foaming agents will generally not be required, as there is no bubble formation
during the drop ejection process.
Cationic surfactant sols
[0073] Inks made with anionic surfactant sols are generally unsuitable for use with cationic
dyes or pigments. This is because the cationic dye or pigment may precipitate or flocculate
with the anionic surfactant. To allow the use of cationic dyes ad pigments, a cationic
surfactant sol is required. The family of alkylamines is suitable for this purpose.
[0074] Various suitable alkylamines are shown in the following table:
| Name |
Formula |
Synonym |
| Hexadecylamine |
CH3(CH2)14CH2NH2 |
Palmityl amine |
| Octadecylamine |
CH3(CH)16CH2NH2 |
Stearyl amine |
| Eicosylamine |
CH3(CH2)18CH2NH2 |
Arachidyl amine |
| Docosylamine |
CH3(CH2)20CH2NH2 |
Behenyl amine |
[0075] The method of preparation of cationic surfactant sols is essentially similar to that
of anionic surfactant sols, except that a acid instead of an alkali is used to adjust
the pH balance and increase the charge on the surfactant particles. A pH of 6 using
HCl is suitable.
Microemulsion Based Inks
[0076] An alternative means of achieving a large reduction in surface tension as some temperature
threshold is to base the ink on a microemulsion. A microemulsion is chosen with a
phase inversion temperature (PIT) around the desired ejection threshold temperature.
Below the PIT, the microemulsion is oil in water (O/W), and above the PIT the microemulsion
is water in oil (W/O). At low temperatures, the surfactant forming the microemulsion
prefers a high curvature surface around oil, and at temperatures significantly above
the PIT, the surfactant prefers a high curvature surface around water. At temperatures
close to the PIT, the microemulsion forms a continuous 'sponge' of topologically connected
water and oil.
[0077] There are two mechanisms whereby this reduces the surface tension. Around the PIT,
the surfactant prefers surfaces with very low curvature. As a result, surfactant molecules
migrate to the ink/air interface, which has a curvature which is much less than the
curvature of the oil emulsion. This lowers the surface tension of the water. Above
the phase inversion temperature, the microemulsion changes from O/W to W/O, and therefore
the ink/air interface changes from water/air to oil/air. The oil/air interface has
a lower surface tension.
[0078] There is a wide range of possibilities for the preparation of microemulsion based
inks.
[0079] For fast drop ejection, it is preferable to chose a low viscosity oil.
[0080] In many instances, water is a suitable polar solvent. However, in some cases different
polar solvents may be required. In these cases, polar solvents with a high surface
tension should be chosen, so that a large decrease in surface tension is achievable.
[0081] The surfactant can be chosen to result in a phase inversion temperature in the desired
range. For example, surfactants of the group poly(oxyethylene)alkylphenyl ether (ethoxylated
alkyl phenols, general formula: C
nH
2n+1C
4H
6(CH
2CH
2O)
mOH) can be used. The hydrophilicity of the surfactant can be increased by increasing
m, and the hydrophobicity can be increased by increasing n. Values of m of approximately
10, and n of approximately 8 are suitable.
[0082] Low cost commercial preparations are the result of a polymerization of various molar
ratios of ethylene oxide and alkyl phenols, and the exact number of oxyethylene groups
varies around the chosen mean. These commercial preparations are adequate, and highly
pure surfactants with a specific number of oxyethylene groups are not required.
[0083] The formula for this surfactant is C
8H
17C
4H
6(CH
2CH
2O)
nOH (average n=10).
[0084] Synonyms include Octoxynol-10, PEG-10 octyl phenyl ether and POE (10) octyl phenyl
ether
[0085] The HLB is 13.6, the melting point is 7°C, and the cloud point is 65°C.
[0086] Commercial preparations of this surfactant are available under various brand names.
Suppliers and brand names are listed in the following table:
| Trade name |
Supplier |
| Akyporox OP100 |
Chem-Y GmbH |
| Alkasurf OP-10 |
Rhone-Poulenc Surfactants and Specialties |
| Dehydrophen POP 10 |
Pulcra SA |
| Hyonic OP-10 |
Henkel Corp. |
| Iconol OP-10 |
BASF Corp. |
| Igepal O |
Rhone-Poulenc France |
| Macol OP-10 |
PPG Industries |
| Malorphen 810 |
Huls AG |
| Nikkol OP-10 |
Nikko Chem. Co. Ltd. |
| Renex 750 |
ICI Americas Inc. |
| Rexol 45/10 |
Hart Chemical Ltd. |
| Synperonic OP10 |
ICI PLC |
| Teric X10 |
ICI Australia |
[0087] These are available in large volumes at low cost (less than one dollar per pound
in quantity), and so contribute less than 10 cents per liter to prepared microemulsion
ink with a 5% surfactant concentration.
[0088] Other suitable ethoxylated alkyl phenols include those listed in the following table:
| Trivial name |
Formula |
HLB |
Cloud point |
| Nonoxynol-9 |
C9H19C4H6(CH2CH2O)∼9OH |
13 |
54°C |
| Nonoxynol-10 |
C9H19C4H6(CH2CH2O)∼10OH |
13.2 |
62°C |
| Nonoxynol-11 |
C9H19C4H6(CH2CH2O)∼11OH |
13.8 |
72°C |
| Nonoxynol-12 |
C9H19C4H6(CH2CH2O)∼12OH |
14.5 |
81°C |
| Octoxynol-9 |
C8H17C4H6(CH2CH2O)∼9OH |
12.1 |
61°C |
| Octoxynol-10 |
C8H17C4H6(CH2CH2O)∼10OH |
13.6 |
65°C |
| Octoxynol-12 |
C8H17C4H6(CH2CH2O)∼12OH |
14.6 |
88°C |
| Dodoxynol-10 |
C12H25C4H6(CH2CH2O)∼10OH |
12.6 |
42°C |
| Dodoxynol-11 |
C12H25C4H6(CH2CH2O)∼11OH |
13.5 |
56°C |
| Dodoxynol-14 |
C12H25C4H6(CH2CH2O)∼14OH |
14.5 |
87°C |
[0089] Microemulsion based inks have advantages other than surface tension control:
1) Microemulsions are thermodynamically stable, and will not separate. Therefore,
the storage tune can be very long. This is especially significant for office and portable
printers, which may be used sporadically.
2) The microemulsion will form spontaneously with a particular drop size, and does
not require extensive stirring, centrifuging, or filtering to ensure a particular
range of emulsified oil drop sizes.
3) The amount of oil contained in the ink can be quite high, so dyes which are soluble
in oil or soluble in water, or both, can be used. It is also possible to use a mixture
of dyes, one soluble in water, and the other soluble in oil, to obtain specific colors.
4) Oil miscible pigments are prevented from flocculating, as they are trapped in the
oil microdroplets.
5) The use of a microemulsion can reduce the mixing of different dye colors on the
surface of the print medium.
6) The viscosity of microemulsions is very low.
7) The requirement for humectants can be reduced or eliminated.
Dyes and pigments in microemulsion based inks
[0090] Oil in water mixtures can have high oil contents - as high as 40% - and still form
O/W microemulsions. This allows a high dye or pigment loading.
[0091] Mixtures of dyes and pigments can be used. An example of a microemulsion based ink
mixture with both dye and pigment is as follows:
1) 70% water
2) 5% water soluble dye
3) 5% surfactant
4) 10% oil
5) 10% oil miscible pigment
[0092] The following table shows the nine basic combinations of colorants in the oil and
water phases of the microemulsion that may be used.
| Combination |
Colorant in water phase |
Colorant in oil phase |
| 1 |
none |
oil miscible pigment |
| 2 |
none |
oil soluble dye |
| 3 |
water soluble dye |
none |
| 4 |
water soluble dye |
oil miscible pigment |
| 5 |
water soluble dye |
oil soluble dye |
| 6 |
pigment dispersed in water |
none |
| 7 |
pigment dispersed in water |
oil miscible pigment |
| 8 |
pigment dispersed in water |
oil soluble dye |
| 9 |
none |
none |
[0093] The ninth combination, with no colorants, is useful for printing transparent coatings,
UV ink, and selective gloss highlights.
[0094] As many dyes are amphiphilic, large quantities of dyes can also be solubilized in
the oil-water boundary layer as this layer has a very large surface area
[0095] It is also possible to have multiple dyes or pigments in each phase, and to have
a mixture of dyes and pigments in each phase.
[0096] When using multiple dyes or pigments the absorption spectrum of the resultant ink
will be the weighted average of the absorption spectra of the different colorants
used. This presents two problems:
1) The absorption spectrum will tend to become broader, as the absorption peaks of
both colorants are averaged. This has a tendency to 'muddy' the colors. To obtain
brilliant color, careful choice of dyes and pigments based on their absorption spectra,
not just their human-perceptible color, needs to be made.
2) The color of the ink may be different on different substrates. If a dye and a pigment
are used in combination, the color of the dye will tend to have a smaller contribution
to the printed ink color on more absorptive papers, as the dye will be absorbed into
the paper, while the pigment will tend to 'sit on top' of the paper. This may be used
as an advantage in some circumstances.
Surfactants with a Krafft point in the drop selection temperature range
[0097] For ionic surfactants there is a temperature (the Krafft point) below which the solubility
is quite low, and the solution contains essentially no micelles. Above the Kraft temperature
micelle formation becomes possible and there is a rapid increase in solubility of
the surfactant. If the critical micelle concentration (CMC) exceeds the solubility
of a surfactant at a particular temperature, then the minimum surface tension will
be achieved at the point of maximum solubility, rather than at the CMC. Surfactants
are usually much less effective below the Krafft point.
[0098] This factor can be used to achieve an increased reduction in surface tension with
increasing temperature. At ambient temperatures, only a portion of the surfactant
is in solution. When the nozzle heater is turned on, the temperature rises, and more
of the surfactant goes into solution, decreasing the surface tension.
[0099] A surfactant should be chosen with a Krafft point which is near the top of the range
of temperatures to which the ink is raised. This gives a maximum margin between the
concentration of surfactant in solution at ambient temperatures, and the concentration
of surfactant in solution at the drop selection temperature.
[0100] The concentration of surfactant should be approximately equal to the CMC at the Krafft
point. In this manner, the surface tension is reduced to the maximum amount at elevated
temperatures, and is reduced to a minimum amount at ambient temperatures.
[0101] The following table shows some commercially available surfactants with Krafft points
in the desired range.
| Formula |
Krafft point |
| C16H33SO3-Na+ |
57°C |
| C18H37SO3-Na+ |
70°C |
| C16H33SO4-Na+ |
45°C |
| Na+-O4S(CH2)16SO4-Na+ |
44.9°C |
| K+-O4S(CH2)16SO4-K+ |
55°C |
| C16H33CH(CH3)C4H6SO3-Na+ |
60.8°C |
Surfactants with a cloud point in the drop selection temperature range
[0102] Non-ionic surfactants using polyoxyethylene (POE) chains can be used to create an
ink where the surface tension falls with increasing temperature. At low temperatures,
the POE chain is hydrophilic, and maintains the surfactant in solution. As the temperature
increases, the structured water around the POE section of the molecule is disrupted,
and the POE section becomes hydrophobic. The surfactant is increasingly rejected by
the water at higher temperatures, resulting in increasing concentration of surfactant
at the air/ink interface, thereby lowering surface tension. The temperature at which
the POE section of a nonionic surfactant becomes hydrophilic is related to the cloud
point of that surfactant. POE chains by themselves are not particularly suitable,
as the cloud point is generally above 100°C
[0103] Polyoxypropylene (POP) can be combined with POE in POE/POP block copolymers to lower
the cloud point of POE chains without introducing a strong hydrophobicity at low temperatures.
[0104] Two main configurations of symmetrical POE/POP block copolymers are available. These
are:
1) Surfactants with POE segments at the ends of the molecules, and a POP segment in
the centre, such as the poloxamer class of surfactants (generically CAS 9003-11-6)
2) Surfactants with POP segments at the ends of the molecules, and a POE segment in
the centre, such as the meroxapol class of surfactants (generically also CAS 9003-11-6)
[0105] Some commercially available varieties of poloxamer and meroxapol with a high surface
tension at room temperature, combined with a cloud point above 40°C and below 100°C
are shown in the following table:
| Trivial name |
BASF Trade name |
Formula |
Surface Tension (mN/m) |
Cloud point |
| Meroxapol 105 |
Pluronic 10R5 |
HO(CHCH3CH2O)∼7-(CH2CH2O∼22-(CHCH3CH2O)∼7OH |
50.9 |
69°C |
| Meroxapol 108 |
Pluronic 10R8 |
HO(CHCH3CH2O)∼7-(CH2CH2O)∼91-(CHCH3CH2O)∼7OH |
54.1 |
99°C |
| Meroxapol 178 |
Plurouic 17R8 |
HO(CHCH3CH2O)∼12-(CH2CH2O)∼136-(CHCH3CH2O)∼12OH |
47.3 |
81°C |
| Meroxapol 258 |
Pluronic 25R8 |
HO(CHCH3CH2O)∼18-(CH2CH2O)∼163-(CHCH3CH2O)∼18OH |
46.1 |
80°C |
| Poloxamer 105 |
Pluronic L35 |
HO(CH2CH2O)∼11-(CHCH3CH2O)∼16-(CH2CH2O)∼11OH |
48.8 |
77°C |
| Poloxamer 124 |
Pluronic L44 |
HO(CH2CH2O)∼11-(CHCH3CH3O)∼11-(CH2CH2O)∼11OH |
45.3 |
65°C |
[0106] Other varieties of poloxamer and meroxapol can readily be synthesis using well known
techniques. Desirable characteristics are a room temperature surface tension which
is as high as possible, and a cloud point between 40°C ad 100°C, and preferably between
60°C and 80°C.
[0107] Meroxapol [HO(CHCH
3CH
2O)
x(CH
2CH
2O)
y(CHCH
3CH
2O)
zOH] varieties where the average x and z are approximately 4, and the average y is
approximately 15 may be suitable.
[0108] If salts are used to increase the electrical conductivity of the ink, then the effect
of this salt on the cloud point of the surfactant should be considered.
[0109] The cloud point of POE surfactants is increased by ions that disrupt water structure
(such as I
-), as this makes more water molecules available to form hydrogen bonds with the POE
oxygen lone pairs. The cloud point of POE surfactants is decreased by ions that form
water structure (such as Cl
-, OH
-), as fewer water molecules are available to form hydrogen bonds. Bromide ions have
relatively little effect. The ink composition can be 'tuned' for a desired temperature
range by altering the lengths of POE and POP chains in a block copolymer surfactant,
and by changing the choice of salts (e.g Cl
- to Br
- to I
-) that are added to increase electrical conductivity. NaCl is likely to be the best
choice of salts to increase ink conductivity, due to low cost and non-toxicity. NaCl
slightly lowers the cloud point of nonionic surfactants.
Hot Melt Inks
[0110] The ink need not be in a liquid state at room temperature. Solid 'hot melt' inks
can be used by heating the printing head and ink reservoir above the melting point
of the ink. The hot melt ink must be formulated so that the surface tension of the
molten ink decreases with temperature. A decrease of approximately 2 mN/m will be
typical of many such preparations using waxes and other substances. However, a reduction
in surface tension of approximately 20 mN/m is desirable in order to achieve good
operating margins when relying oil a reduction in surface tension rather than a reduction
in viscosity.
[0111] The temperature difference between quiescent temperature and drop selection temperature
may be greater for a hot melt ink than for a water based ink, as water based inks
are constrained by the boiling point of the water.
[0112] The ink must be liquid at the quiescent temperature. The quiescent temperature should
be higher than the highest ambient temperature likely to be encountered by the printed
page. T he quiescent temperature should also be as low as practical, to reduce the
power needed to heat the print head, and to provide a maximum margin between the quiescent
and the drop ejection temperatures. A quiescent temperature between 60°C and 90°C
is generally suitable, though other temperatures may be used. A drop ejection temperature
of between 160°C and 200°C is generally suitable.
[0113] There are several methods of achieving an enhanced reduction in surface tension with
increasing temperature.
1) A dispersion of microfine particles of a surfactant with a melting point substantially
above the quiescent temperature, but substantially below the drop ejection temperature,
can be added to the hot melt ink while in the liquid phase.
2) A polar/non-polar microemulsion with a PIT which is preferably at least 20°C above
the melting points of both the polar and non-polar compounds.
[0114] To achieve a large reduction in surface tension with temperature, it is desirable
that the hot melt ink carrier have a relatively large surface tension (above 30 mN/m)
when at the quiescent temperature. This generally excludes canes such as waxes. Suitable
materials will generally have a strong intermolecular attraction, which may be achieved
by multiple hydrogen bonds, for example, polyols, such as Hexanetetrol, which has
a melting point of 88°C.
Surface tension reduction of various solutions
[0115] Figure 3(d) shows the measured effect of temperature on the surface tension of various
aqueous preparations containing the following additives:
1) 0.1% sol of Stearic Acid
2) 0.1% sol of Palmitic acid
3) 0.1% solution of Pluronic 10R5 (trade mark of BASF)
4) 0.1% solution of Pluronic L35 (trade mark of BASF)
5) 0.1% solution of Pluronic L44 (trade mark of BASF)
[0116] Inks suitable for printing systems of the present invention are described in the
following Australian patent specifications, the disclosure of which are hereby incorporated
by reference:
'Ink composition based on a microemulsion' (Filing no.: PN5223, filed on 6 September
1995);
'Ink composition containing surfactant sol' (Filing no.: PN5224, filed on 6 September
1995);
'Ink composition for DOD printers with Krafft point near the drop selection temperature
sol' (Filing no.: PN6240, filed on 30 October 1995); and
'Dye and pigment in a microemulsion based ink' (Filing no.: PN6241, filed on 30 October
1995).
Operation Using Reduction of Viscosity
[0117] As a second example, operation of an embodiment using thermal reduction of viscosity
and proximity drop separation, in combination with hot melt ink, is as follows. Prior
to operation of the printer, solid ink is melted in the reservoir 64. The reservoir,
ink passage to the print head, ink channels 75, and print head 50 are maintained at
a temperature at which the ink 100 is liquid, but exhibits a relatively high viscosity
(for example, approximately 100 cP). The Ink 100 is retained in the nozzle by the
surface tension of the ink. The ink 100 is formulated so that the viscosity of the
ink reduces with increasing temperature. The ink pressure oscillates at a frequency
which is an integral multiple of the drop ejection frequency from the nozzle. The
ink pressure oscillation causes oscillations of the ink meniscus at the nozzle tips,
but this oscillation is small due to the high ink viscosity. At the normal operating
temperature, these oscillations are of insufficient amplitude to result in drop separation.
When the heater 103 is energized, the ink forming the selected drop is heated, causing
a reduction in viscosity to a value which is preferably less than 5 cP. The reduced
viscosity results in the ink meniscus moving further during the high pressure part
of the ink pressure cycle. The recording medium 51 is arranged sufficiently close
to the print head 50 so that the selected drops contact the recording medium 51, but
sufficiently far away that the unselected drops do not contact the recording medium
51. Upon contact with the recording medium 51, part of the selected drop freezes,
and attaches to the recording medium. As the ink pressure falls, ink begins to move
back into the nozzle. The body of ink separates from the ink which is frozen onto
the recording medium. The meniscus of the ink 100 at the nozzle tip then returns to
low amplitude oscillation. The viscosity of the ink increases to its quiescent level
as remaining heat is dissipated to the bulk ink and print head. One ink drop is selected,
separated and forms a spot on the recording medium 51 for each heat pulse. As the
heat pulses are electrically controlled, drop on demand ink jet operation can be achieved.
Image Processing for Print Heads
[0118] An objective of printing systems according to the invention is to attain a print
quality which is equal to that which people are accustomed to in quality color publications
printed using offset printing. This can be achieved using a print resolution of approximately
1,600 dpi. However, 1,600 dpi printing is difficult and expensive to achieve. Similar
results can be achieved using 800 dpi printing, with 2 bits per pixel for cyan and
magenta, and one bit per pixel for yellow and black. This color model is herein called
CC'MM'YK. Where high quality monochrome image printing is also required, two bits
per pixel can also be used for black. This color model is herein called CC'MM'YKK'.
Applications Using Print Heads According to this Invention
[0119] Printing apparatus and methods of this invention are suitable for a wide range of
applications, including (but not limited to) the following: color and monochrome office
printing, short run digital printing, high speed digital printing, process color printing,
spot color printing, offset press supplemental printing, low cost printers using scanning
print heads, high speed printers using pagewidth print heads, portable color and monochrome
printers, color and monochrome copiers, color and monochrome facsimile machines, combined
printer, facsimile and copying machines, label printing, large format plotters, photographic
duplication, printers for digital photographic processing, portable printers incorporated
into digital 'instant' cameras, video printing, printing of PhotoCD images, portable
printers for 'Personal Digital Assistants', wallpaper printing, indoor sign printing,
billboard printing, and fabric printing.
Compensation of Print Heads for Environmental Conditions
[0120] It is desirable that drop on demand printing systems have consistent and predictable
ink drop size and position. Unwanted variation in ink drop size and position causes
variations in the optical density of the resultant print, reducing the perceived print
quality. These variations should be kept to a small proportion of the nominal ink
drop volume and pixel spacing respectively. Many environmental variables can be compensated
to reduce their effect to insignificant levels. Active compensation of some factors
can be achieved by varying the power applied to the nozzle heaters.
[0121] An optimum temperature profile for one print head embodiment involves an instantaneous
raising of the active region of the nozzle tip to the ejection temperature, maintenance
of this region at the ejection temperature for the duration of the pulse, and instantaneous
cooling of the region to the ambient temperature.
[0122] This optimum is not achievable due to the stored heat capacities and thermal conductivities
of the various materials used in the fabrication of the nozzles in accordance with
the invention. However, improved performance can be achieved by shaping the power
pulse using curves which can be derived by iterative refinement of finite element
simulation of the print head. The power applied to the heater can be varied in time
by various techniques, including, but not limited to:
1) Varying the voltage applied to the heater
2) Modulating the width of a series of short pulses (PWM)
3) Modulating the frequency of a series of short pulses (PFM)
[0123] To obtain accurate results, a transient fluid dynamic simulation with free surface
modeling is required, as convection in the ink, and ink flow, significantly affect
on the temperature achieved with a specific power curve.
[0124] By the incorporation of appropriate digital circuitry on the print head substrate,
it is practical to individually control the power applied to each nozzle. One way
to achieve this is by 'broadcasting' a variety of different digital pulse trains across
the print head chip, and selecting the appropriate pulse train for each nozzle using
multiplexing circuits.
[0125] An example of the environmental factors which may be compensated for is listed in
the table "Compensation for environmental factors". This table identifies which environmental
factors are best compensated globally (for the entire print head), per chip (for each
chip in a composite multi-chip print head), and per nozzle.
| Compensation for environmental factors |
| Factor compensated |
Scope |
Sensing or user control method |
Compensation mechanism |
| Ambient Temperature |
Global |
Temperature sensor mounted on print head or |
Power supply voltage global PFM patterns |
| Power supply voltage fluctuation with number of active nozzles |
Global |
Predictive active nozzle count based on print data |
Power supply voltage or global PFM patterns |
| Local heat build-up with successive nozzle actuation |
Per nozzle |
Predictive active nozzle count based on print data |
Selection of appropriate PFM pattern for each printed drop |
| Drop size control for multiple bits per pixel |
Per nozzle |
Image data |
Selection of appropriate PFM pattern for each printed drop |
| Nozzle geometry variations between wafers |
Per chip |
Factory measurement, datafile supplied with print head |
Global PFM patterns per print head chip |
| Heater resistivity variations between wafers |
per chip |
Factory measurement, datafile supplied with print head |
Global PFM patterns per print head chip |
| User image intensity adjustment |
Global |
User selection |
Power supply voltage, electrostatic acceleration voltage, or ink pressure |
| Ink surface tension reduction method and threshold temperature |
Global |
Ink cartridge sensor or user selection |
Global PFM patterns |
| Ink viscosity |
Global |
Ink cartridge sensor or user selection |
Global PFM patterns and/or clock rate |
| Ink dye or pigment concentration |
Global |
Ink cartridge sensor or user selection |
Global PFM patterns |
| Ink response time |
Global |
Ink cartridge sensor or user selection |
Global PFM patterns |
[0126] Most applications will not require compensation for all of these variables. Some
variables have a minor effect, and compensation is only necessary where very high
image quality is required.
Print head drive circuits
[0127] Figure 4 is a block schematic diagram showing electronic operation of an example
head driver circuit in accordance with this invention. This control circuit uses analog
modulation of the power supply voltage applied to the print head to achieve heater
power modulation, and does not have individual control of the power applied to each
nozzle. Figure 4 shows a block diagram for a system using an 800 dpi pagewidth print
head which prints process color using the CC'MM'YK color model. The print head 50
has a total of 79,488 nozzles, with 39,744 main nozzles and 39,744 redundant nozzles.
The main and redundant nozzles are divided into six colors, and each color is divided
into 8 drive phases. Each drive phase has a shift register which converts the serial
data from a head control ASIC 400 into parallel data for enabling heater drive circuits.
There is a total of 96 shift registers, each providing data for 828 nozzles. Each
shift register is composed of 828 shift register stages 217, the outputs of which
are logically anded with phase enable signal by a nand gate 215. The output of the
nand gate 215 drives an inverting buffer 216, which in turn controls the drive transistor
201. The drive transistor 201 actuates the electrothermal heater 200, which may be
a heater 103 as shown in figure 1(b). To maintain the shifted data valid during the
enable pulse, the clock to the shift register is stopped the enable pulse is active
by a clock stopper 218, which is shown as a single gate for clarity, but is preferably
any of a range of well known glitch free clock control circuits. Stopping the clock
of the shift register removes the requirement for a parallel data latch in the print
head, but adds some complexity to the control circuits in the Head Control ASIC 400.
Data is routed to either the main nozzles or the redundant nozzles by the data router
219 depending on the state of the appropriate signal of the fault status bus.
[0128] The print head shown in figure 4 is simplified, and does not show various means of
improving manufacturing yield, such as block fault tolerance. Drive circuits for different
configurations of print head can readily be derived from the apparatus disclosed herein.
[0129] Digital information representing patterns of dots to be printed on the recording
medium is stored in the Page or Band memory 1513, which may be the same as the Image
memory 72 in figure 1(a). Data in 32 bit words representing dots of one color is read
from the Page or Band memory 1513 using addresses selected by the address mux 417
and control signals generated by the Memory Interface 418. These addresses are generated
by Address generators 411, which forms part of the 'Per color circuits' 410, for which
there is one for each of the six color components. The addresses are generated based
on the positions of the nozzles in relation to the print medium. As the relative position
of the nozzles may be different for different print heads, the Address generators
411 are preferably made programmable. The Address generators 411 normally generate
the address corresponding to the position of the main nozzles. However, when faulty
nozzles are present, locations of blocks of nozzles containing faults can be marked
in the Fault Map RAM 412. The Fault Map RAM 412 is read as the page is printed. If
the memory indicates a fault in the block of nozzles, the address is altered so that
the Address generators 411 generate the address corresponding to the position of the
redundant nozzles. Data read from the Page or Band memory 1513 is latched by the latch
413 and converted to four sequential bytes by the multiplexer 414. Timing of these
bytes is adjusted to match that of data representing other colors by the FIFO 415.
This data is then buffered by the buffer 430 to form the 48 bit main data bus to the
print head 50. The data is buffered as the print head may be located a relatively
long distance from the head control ASIC. Data from the Fault Map RAM 412 also forms
the input to the FIFO 416. The timing of this data is matched to the data output of
the FIFO 415, and buffered by the buffer 431 to form the fault status bus.
[0130] The programmable power supply 320 provides power for the head 50. The voltage of
the power supply 320 is controlled by the DAC 313, which is part of a RAM and DAC
combination (RAMDAC) 316. The RAMDAC 316 contains a dual port RAM 317. The contents
of the dual port RAM 317 are programmed by the Microcontroller 315. Temperature is
compensated by changing the contents of the dual Port RAM 317. These values are calculated
by the microcontroller 315 based on temperature sensed by a thermal sensor 300. The
thermal sensor 300 signal connects to the Analog to Digital Converter (ADC) 311. The
ADC 311 is preferably incorporated in the Microcontroller 315.
[0131] The Head Control ASIC 400 contains control circuits for thermal lag compensation
and print density. Thermal lag compensation requires that the power supply voltage
to the head 50 is a rapidly time-varying voltage which is synchronized with the enable
pulse for the heater. This is achieved by programming the programmable power supply
320 to produce this voltage. An analog time varying programming voltage is produced
by the DAC 313 based upon data read from the dual port RAM 317. The data is read according
to an address produced by the counter 403. The counter 403 produces one complete cycle
of addresses during the period of one enable pulse. This synchronization is ensured,
as the counter 403 is clocked by the system clock 408, and the top count of the counter
403 is used to clock the enable counter 404. The count from the enable counter 404
is then decoded by the decoder 405 and buffered by the buffer 432 to produce the enable
pulses for the head 50. The counter 403 may include a prescaler if the number of states
in the count is less than the number of clock periods in one enable pulse. Sixteen
voltage states are adequate to accurately compensate for the heater thermal lag. These
sixteen states can be specified by using a four bit connection between the counter
403 and the dual port RAM 317. However, these sixteen states may not be linearly spaced
in time. To allow non-linear timing of these states the counter 403 may also include
a ROM or other device which causes the counter 403 to count in a non-linear fashion.
Alternatively, fewer than sixteen states may be used.
[0132] For print density compensation, the printing density is detected by counting the
number of pixels to which a drop is to be printed ('on' pixels) in each enable period.
The 'on' pixels are counted by the On pixel counters 402. There is one On pixel counter
402 for each of the eight enable phases. The number of enable phases in a print head
in accordance with the invention depend upon the specific design. Four, eight, and
sixteen are convenient numbers, though there is no requirement that the number of
enable phases is a power of two. The On Pixel Counters 402 can be composed of combinatorial
logic pixel counters 420 which determine how many bits in a nibble of data are on.
This number is then accumulated by the adder 421 and accumulator 422. A latch 423
holds the accumulated value valid for the duration of the enable pulse. The multiplexer
401 selects the output of the latch 423 which corresponds to the current enable phase,
as determined by the enable counter 404. The output of the multiplexer 401 forms part
of the address of the dual port RAM 317. An exact count of the number of 'on' pixels
is not necessary, and the most significant four bits of this count are adequate.
[0133] Combining the four bits of thermal lag compensation address and the four bits of
print density compensation address means that the dual port RAM 317 has an 8 bit address.
This means that the dual port RAM 317 contains 256 numbers, which are in a two dimensional
array. These two dimension are time (for thermal lag compensation) and print density.
A third dimension - temperature - can be included. As the ambient temperature of the
head varies only slowly, the microcontroller 315 has sufficient time to calculate
a matrix of 256 numbers compensating for thermal lag and print density at the current
temperature. Periodically (for example, a few times a second), the microcontroller
senses the current head temperature and calculates this matrix.
[0134] The clock to the print head 50 is generated from the system clock 408 by the Head
clock generator 407, and buffered by the buffer 406. To facilitate testing of the
Head control ASIC, JTAG test circuits 499 may be included.
Comparison with thermal ink jet technology
[0135] The table "Comparison between Thermal ink jet and Present Invention" compares the
aspects of printing in accordance with the present invention with thermal ink jet
printing technology.
[0136] A direct comparison is made between the present invention and thermal ink jet technology
because both are drop on demand systems which operate using thermal actuators and
liquid ink. Although they may appear similar, the two technologies operate on different
principles.
[0137] Thermal ink jet printers use the following fundamental operating principle. A thermal
impulse caused by electrical resistance heating results in the explosive formation
of a bubble in liquid ink. Rapid and consistent bubble formation can be achieved by
superheating the ink, so that sufficient heat is transferred to the ink before bubble
nucleation is complete. For water based ink, ink temperatures of approximately 280°C
to 400°C are required. The bubble formation causes a pressure wave which forces a
drop of ink from the aperture with high velocity. The bubble then collapses, drawing
ink from the ink reservoir to refill the nozzle. Thermal ink jet printing has been
highly successful commercially due to the high nozzle packing density and the use
of well established integrated circuit manufacturing techniques. However, thermal
ink jet printing technology faces significant technical problems including multi-part
precision fabrication, device yield, image resolution, 'pepper' noise, printing speed,
drive transistor power, waste power dissipation, satellite drop formation, thermal
stress, differential thermal expansion, kogation, cavitation, rectified diffusion,
and difficulties in ink formulation.
[0138] Printing in accordance with the present invention has many of the advantages of thermal
ink jet printing, and completely or substantially eliminates many of the inherent
problems of thermal ink jet technology.
| Comparison between Thermal ink jet and Present Invention |
| |
Thermal Ink Jet |
Present Invention |
| Drop selection mechanism |
Drop ejected by pressure wave caused by thermally induced bubble |
Choice of surface tension or viscosity reduction mechanisms |
| Drop separation mechanism |
Same as drop selection mechanism |
Choice of proximity, electrostatic, magnetic, and other methods |
| Basic ink carrier |
Water |
Water, microemulsion, alcohol, glycol, or hot melt |
| Head construction |
Precision assembly of nozzle plate, ink channel, and substrate |
Monolithic |
| Per copy printing cost |
Very high due to limited print head life and expensive inks |
Can be low due to permanent print heads and wide rage of possible inks |
| Satellite drop formation |
Significant problem which degrades image quality |
No satellite drop formation |
| Operating ink temperature |
280°C to 400°C (high temperature limits dye use and ink formulation) |
Approx. 70°C (depends upon ink formulation) |
| Peak heater temperature |
400°C to 1,000°C (high temperature reduces device life) |
Approx. 130°C |
| Cavitation (heater erosion by bubble collapse) |
Serious problem limiting head life |
None (no bubbles are formed) |
| Kogation (coating of heater by ink ash) |
Serious problem limiting head life and ink formulation |
None (water based ink temperature does not exceed 100°C) |
| Rectified diffusion (formation of ink bubbles due to pressure cycles) |
Serious problem limiting ink formulation |
Does not occur as the ink pressure does not go negative |
| Resonance |
Serious problem limiting nozzle design and repetition rate |
Very small effect as pressure waves are small |
| Practical resolution |
Approx. 800 dpi max. |
Approx. 1,600 dpi max. |
| Self-cooling operation |
No (high energy required) |
Yes: printed ink carries away drop selection energy |
| Drop ejection velocity |
High (approx. 10 m/sec) |
Low (approx. 1 m/sec) |
| Crosstalk |
Serious problem requiring careful acoustic design, which limits nozzle refill rate. |
Low velocities and pressures associated with drop ejection make crosstalk very small. |
| Operating thermal stress |
Serious problem limiting print-head life. |
Low: maximum temperature increase approx. 90°C at centre of heater. |
| Manufacturing thermal stress |
Serious problem limiting print-head size. |
Same as standard CMOS manufacturing process. |
| Drop selection energy |
Approx. 20 µJ |
Approx. 270 nJ |
| Heater pulse period |
Approx. 2-3 µs |
Approx. 15-30 µs |
| Average heater pulse power |
Approx. 8 Watts per heater. |
Approx. 12 mW per heater. This is more than 500 times less than Thermal Ink-Jet. |
| Heater pulse voltage |
Typically approx. 40V. |
Approx. 5 to 10V. |
| Heater peak pulse current |
Typically approx. 200 mA per heater. This requires bipolar or very large MOS drive
transistors. |
Approx. 4 mA per heater. This allows the use of small MOS drive transistors. |
| Fault tolerance |
Not implemented. Not practical for edge shooter type. |
Simple implementation results in better yield and reliability |
| Constraints on ink composition |
Many constraints including kogation, nucleation, etc. |
Temperature coefficient of surface tension or viscosity must be negative. |
| Ink pressure |
Atmospheric pressure or less |
Approx. 1.1 atm |
| Integrated drive circuitry |
Bipolar circuitry usually required due to high drive current |
CMOS, nMOS, or bipolar |
| Differential thermal expansion |
Significant problem for large print heads |
Monolithic construction reduces problem |
| Pagewidth print heads |
Major problems with yield, cost, precision construction, head life, and power dissipation |
High yield, low cost and long life due to fault tolerance. Self cooling due to low
power dissipation. |
Yield and Fault Tolerance
[0139] In most cases, monolithic integrated circuits cannot be repaired if they are not
completely functional when manufactured. The percentage of operational devices which
are produced from a wafer run is known as the yield. Yield has a direct influence
on manufacturing cost. A device with a yield of 5% is effectively ten times more expensive
to manufacture than an identical device with a yield of 50%.
[0140] There are three major yield measurements:
1) Fab yield
2) Wafer sort yield
3) Final test yield
[0141] For large die, it is typically the wafer sort yield which is the most serious limitation
on total yield. Full pagewidth color heads in accordance with this invention are very
large in comparison with typical VLSI circuits. Good wafer sort yield is critical
to the cost-effective manufacture of such heads.
[0142] Figure 5 is a graph of wafer sort yield versus defect density for a monolithic full
width color A4 head embodiment of the invention. The head is 215 mm long by 5 mm wide.
The non fault tolerant yield 198 is calculated according to Murphy's method, which
is a widely used yield prediction method. With a defect density of one defect per
square cm, Murphy's method predicts a yield less than 1%. This means that more than
99% of heads fabricated would have to be discarded. This low yield is highly undesirable,
as the print head manufacturing cost becomes unacceptably high.
[0143] Murphy's method approximates the effect of an uneven distribution of defects. Figure
5 also includes a graph of non fault tolerant yield 197 which explicitly models the
clustering of defects by introducing a defect clustering factor. The defect clustering
factor is not a controllable parameter in manufacturing, but is a characteristic of
the manufacturing process. The defect clustering factor for manufacturing processes
can be expected to be approximately 2, in which case yield projections closely match
Murphy's method.
[0144] A solution to the problem of low yield is to incorporate fault tolerance by including
redundant functional units on the chip which are used to replace faulty functional
units.
[0145] In memory chips and most Wafer Scale Integration (WSI) devices, the physical location
of redundant sub-units on the chip is not important. However, in printing heads the
redundant sub-unit may contain one or more printing actuators. These must have a fixed
spatial relationship to the page being printed. To be able to print a dot in the same
position as a faulty actuator, redundant actuators must not be displaced in the non-scan
direction. However, faulty actuators can be replaced with redundant actuators which
are displaced in the scan direction. To ensure that the redundant actuator prints
the dot in the same position as the faulty actuator, the data timing to the redundant
actuator can be altered to compensate for the displacement in the scan direction.
[0146] To allow replacement of all nozzles, there must be a complete set of spare nozzles,
which results in 100% redundancy. The requirement for 100% redundancy would normally
more than double the chip area, dramatically reducing the primary yield before substituting
redundant units, and thus eliminating most of the advantages of fault tolerance.
[0147] However, with print head embodiments according to this invention, the minimum physical
dimensions of the head chip are determined by the width of the page being printed,
the fragility of the head chip, and manufacturing constraints on fabrication of ink
channels which supply ink to the back surface of the chip. The minimum practical size
for a full width, full color head for printing A4 size paper is approximately 215
mm x 5 mm. This size allows the inclusion of 100% redundancy without significantly
increasing chip area, when using 1.5 µm CMOS fabrication technology. Therefore, a
high level of fault tolerance can be included without significantly decreasing primary
yield.
[0148] When fault tolerance is included in a device, standard yield equations cannot be
used. Instead, the mechanisms and degree of fault tolerance must be specifically analyzed
and included in the yield equation. Figure 5 shows the fault tolerant sort yield 199
for a full width color A4 head which includes various forms of fault tolerance, the
modeling of which has been included in the yield equation. This graph shows projected
yield as a function of both defect density and defect clustering. The yield projection
shown in figure 5 indicates that thoroughly implemented fault tolerance can increase
wafer sort yield from under 1% to more than 90% under identical manufacturing conditions.
This can reduce the manufacturing cost by a factor of 100.
[0149] Fault tolerance is highly recommended to improve yield and reliability of print heads
containing thousands of printing nozzles, and thereby make pagewidth printing heads
practical. However, fault tolerance is not to be taken as an essential part of the
present invention.
Printing System Embodiments
[0150] A schematic diagram of a digital electronic printing system using a print head of
this invention is shown in Figure 6(a). This shows a monolithic printing head 50 printing
an image 60 composed of a multitude of ink drops onto a recording medium 51. This
medium will typically be paper, but can also be overhead transparency film, cloth,
or many other substantially flat surfaces which will accept ink drops. The image to
be printed is provided by an image source 52, which may be any image type which can
be converted into a two dimensional array of pixels. Typical image sources are image
scanners, digitally stored images, images encoded in a page description language (PDL)
such as Adobe Postscript, Adobe Postscript level 2, or Hewlett-Packard PCL 5, page
images generated by a procedure-call based rasterizer, such as Apple QuickDraw, Apple
Quickdraw GX, or Microsoft GDI, or text in an electronic form such as ASCII. This
image data is then converted by an image processing system 53 into a two dimensional
array of pixels suitable for the particular printing system. This may be color or
monochrome, and the data will typically have between 1 and 32 bits per pixel, depending
upon the image source and the specification of the printing system. The image processing
system may be a raster image processor (RIP) if the source image is a page description,
or may be a two dimensional image processing system if the source image is from a
scanner.
[0151] If continuous tone images are required, then a halftoning system 54 is necessary.
Suitable types of halftoning are based on
dispersed dot ordered dither or error diffusion. Variations of these, commonly known as
stochastic screening or
frequency modulation screening are suitable. The halftoning system commonly used for offset printing -
clustered dot ordered dither - is not recommended, as effective image resolution is unnecessarily wasted using
this technique. The output of the halftoning system is a binary monochrome or color
image at the resolution of the printing system according to the present invention.
[0152] The binary image is processed by a data phasing circuit 55 (which may be incorporated
in a Head Control ASIC 400 as shown in figure 4) which provides the pixel data in
the correct sequence to the data shift registers 56. Data sequencing is required to
compensate for the nozzle arrangement and the movement of the paper. When the data
has been loaded into the shift registers 56, it is presented in parallel to the heater
driver circuits 57. At the correct time, the driver circuits 57 will electronically
connect the corresponding heaters 58 with the voltage pulse generated by the pulse
shaper circuit 61 and the voltage regulator 62. The heaters 58 heat the tip of the
nozzles 59, affecting the physical characteristics of the ink. Ink drops 60 escape
from the nozzles in a pattern which corresponds to the digital impulses which have
been applied to the heater driver circuits. The pressure of the ink in the ink reservoir
64 is regulated by the pressure regulator 63. Selected drops of ink drops 60 are separated
from the body of ink by the chosen drop separation means, and contact the recording
medium 51. During printing, the recording medium 51 is continually moved relative
to the print head 50 by the paper transport system 65. If the print head 50 is the
full width of the print region of the recording medium 51, it is only necessary to
move the recording medium 51 in one direction, and the print head 50 can remain fixed.
If a smaller print head 50 is used, it is necessary to implement a raster scan system.
This is typically achieved by scanning the print head 50 along the short dimension
of the recording medium 51, while moving the recording medium 51 along its long dimension.
[0153] The binary image is processed by a data phasing circuit 55 (which may be incorporated
in a Head Control ASIC 400 as shown in figure 4) which provides the pixel data in
the correct sequence to the data shift registers 56. Data sequencing is required to
compensate for the nozzle arrangement and the movement of the paper. When the data
has been loaded into the shift registers 56, it is presented in parallel to the heater
driver circuits 57. At the correct time, the driver circuits 57 will electronically
connect the corresponding heaters 58 with the voltage pulse generated by the pulse
shaper circuit 61 and the voltage regulator 62. The heaters 58 heat the tip of the
nozzles 59, affecting the physical characteristics of the ink. Ink: drops 60 escape
from the nozzles in a pattern which corresponds to the digital impulses which have
been applied to the heater driver circuits. The pressure of the ink in the ink reservoir
64 is regulated by the pressure regulator 63. Selected drops of ink drops 60 are separated
from the body of ink by the chosen drop separation means, and contact the recording
medium 51. During printing, the recording medium 51 is continually moved relative
to the print head 50 by the paper transport system 65. If the print head 50 is the
full width of the print region of the recording medium 51, it is only necessary to
move the recording medium 51 in one direction, and the print head 50 can remain fixed.
If a smaller print head 50 is used, it is necessary to implement a raster scan system.
This is typically achieved by scanning the print head 50 along the short dimension
of the recording medium 51, while moving the recording medium 51 along its long dimension.
Computer simulations of nozzle dynamics
[0154] Computer simulation is extremely useful in determining the characteristics of phenomena
which are difficult to observe directly, nozzle operation is difficult to observe
experimentally for several reasons, including:
1) Useful nozzles are microscopic, with important phenomena occurring at dimensions
less than 1µm.
2) The time scale of a drop ejection is a few microseconds, requiring very high speed
observations.
3) Important phenomena occur inside opaque solid materials, making direct observation
impossible.
4) Some important parameters, such as heat flow and fluid velocity vector fields are
difficult to directly observe on any scale.
5) The cost of fabrication of experimental nozzles is high.
[0155] Computer simulation overcomes the above problems. A leading software package for
fluid dynamics simulation is FIDAP, produced by Fluid Dynamics International Inc.
of Illinois, USA (FDI). FIDAP is a registered trademark of FDI. Other simulation programs
are commercially available, but FIDAP was chosen for its high accuracy in transient
fluid dynamic, energy transport, and surface tension calculations. The version of
FIDAP used is FIDAP 7.06.
Theoretical basis of calculations
[0156] The theoretical basis for fluid dynamic and energy transport calculations using the
Finite Element Method, and the manner that this theoretical basis is applied to the
FIDAP computer program, is described in detail in the FIDAP 7.0 Theory Manual (April
1993) published by FDI, the disclosure of which is hereby incorporated by reference.
Material characteristics
[0157] The table "Properties of materials used for FIDAP simulation" gives approximate physical
properties of materials which may be used in the fabrication of the print head.
[0158] The properties of 'ink' used in this simulation are actually the properties of pure
water. This is to simulate a 'worst case' situation for drop separation, where the
surface tension of the ink reduces only very slightly with temperature. Much wider
operating margins can be achieved by using inks especially formulated to have a large
decrease in surface tension with temperature.
[0159] To obtain convergence for transient free surface simulations with variable surface
tension at micrometer scales with microsecond transients using FIDAP 7.06, it is necessary
to nondimensionalize the simulation.
Fluid dynamic simulations of nozzles
[0161] Print heads can be designed to operate over a wide range of conditions, and at various
print resolutions. Most currently available mass-market drop on demand printing systems
have a printing resolution of between 300 and 400 dpi. This is not an absolute limit
for thermal ink jet designs, but as the print resolution increases the print head
design typically becomes progressively more difficult. Print heads can be designed
with a wide range of print resolutions, but most of the volume market is likely to
between resolutions of 400 dpi and 800 dpi. 400 dpi bi-level printing is generally
adequate for text and graphics, but is not adequate for high quality full color photographic
reproduction. An exception to this is when printing on cloth, where 400 dpi printing
can give results superior to standard cloth. This is because the major limitation
on print quality on cloth using mechanical printing techniques is registration, as
it is difficult to prevent the cloth from stretching and distorting between each printed
color. 800 dpi is likely to be the maximum requirement for mass market printing systems,
as 800 dpi 6 color CC'MM'YK printing using stochastic screening can yield results
approximately equivalent to the print quality that people are accustomed to from 133
to 150 lpi color offset printing.
Self-Cooling Operation in Thermally Activated Printing Heads
[0162] The current invention provides a system for eliminating or significantly reducing
the problem of waste heat removal, allowing print heads with higher speed, smaller
size, lower cost, and a greater number of nozzles to be constructed.
[0163] This system relies upon the ejected ink itself to remove waste heat and provides
for the print head to be designed following two constraints:
1) The quiescent power consumption (power consumed by the print head when not actually
printing) should be low enough so that dissipation of quiescent heat can be achieved
by convection or forced air cooling.
2) The maximum active power consumption (power consumed when printing) should be less
than the power required to raise the temperature of the ink which is being printed
above the a reliable operating temperature.
[0164] The first constraint can be met by using CMOS driving circuitry. In most circumstances,
the use of CMOS driving circuitry results in quiescent power that is so low that it
can be dissipated without requiring a heatsink or other special arrangements. Bipolar,
nMOS or other driving circuitry can also be used, as long as the thermal resistance
from the print head to the ambient environment is low enough to prevent excessive
heat accumulation. However, current thermal ink-jet (TIJ) printing systems have an
active power requirement which is too high to allow the practical use of CMOS or nMOS
circuitry. Therefore, bipolar drive circuitry is typically used. Print heads using
this invention's printing technology can be designed with sufficiently low active
power consumption (less than 1% of TIJ) as to make the use of CMOS drive circuitry
practical.
[0165] The second constraint can be met by designing the nozzles of the print head so that
the energy required to eject a single drop is less than the energy required to raise
an equivalent volume of ink from the ambient ink temperature to the maximum ink temperature
where reliable printing operation is maintained. If this is achieved, then the full
amount of the active power can be dissipated in the printed ink itself.
[0166] The amount of active power consumption is directly proportional to the number of
ink drops printed per unit time. The power that can be dissipated in the printed ink
is also directly proportional to the number of ink drops printed per unit time. Therefore,
if the energy per drop can be reduced below the required threshold, the constraint
that power dissipation places on print speed, number of nozzles, or nozzle density
can be completely removed, and "self-cooling operation" is achieved.
[0167] The value of the self cooling threshold depends upon the ambient temperature, the
ink drop radius, the specific heat capacity of the ink, the boiling point of the ink,
and the operating margin required.
[0168] Commercially available thermal ink jet printing technologies currently have a drop
ejection energy approximately ten times the threshold for self-cooling operation.
It is likely that self-cooling operation is very difficult to achieve for thermal
ink jet printers with drop sizes less than 100 pl.
[0169] However, the nozzles of print heads operating in accordance with the present invention
can readily be designed for self-cooling operation.
Preferred Embodiment Using Viscosity Reduction Selection
[0170] In this preferred embodiment, the means of selecting drops to be printed is the thermal
reduction of ink viscosity in the presence of oscillating ink pressure. The average
pressure of the oscillating ink pressure is insufficient to overcome the surface tension
of the ink and eject ink from the nozzle. At ambient temperature, the ink viscosity
is such that the amplitude of ink meniscus oscillation resulting from the oscillation
in ink pressure is insufficient to result in drop separation. When the thermal actuator
of a nozzle is activated, the ink viscosity falls sufficiently that the amplitude
of ink meniscus oscillation resulting from the oscillation in ink pressure is sufficient
to result in drop separation.
[0171] In most instances, the velocity of the ink as it emerges from the nozzle will not
be sufficient to cause the emerging ink drop to separate from the body of ink. For
most drop sizes of interest in computer controlled printing, the force of gravity
on the drop is insignificant compared to the surface tension forces, so gravity cannot
be used as a means of drop separation.
[0172] Therefore, a means of separating the selected drop from the body of ink, and ensuring
that the selected drop proceeds to form a spot on the recording medium, is required.
The ink drop separation means may be chosen from, but is not limited to, the following
list:
1) Proximity (recording medium in close proximity to print head)
2) Electrostatic attraction
3) Magnetic attraction
[0173] For effective operation, the ink should exhibit a large reduction in viscosity with
temperature. The viscosity of the ink should be high (preferably in excess of 20 cP)
for drops which are not selected, and should fall by a factor which is preferably
in excess of 10 for selected drops. Appropriate ink properties can be achieved using
mixtures various organic waxes, acids, alcohols, oils and other compounds.
[0174] Viscous printing in accordance with the invention is suitable for hot melt printing,
where the ink is solid at room temperature. The ink preferably has a melting point
above 60°C, and can also be formulated as a mixture of compounds with different melting
points, so that it 'softens' rather than having a distinct melting point The ink reservoir
and printing head are elevated to a temperature above the melting point of the ink
(for example, 80°C) prior to printing. This temperature is referred to as the quiescent
temperature. The temperature of the print head can be regulated to minimize the influence
of ambient temperature on the printing characteristics.
[0175] When a drop is to be printed, an electrothermal actuator in the nozzle is activated,
raising the temperature of the ink at the nozzle tip. A suitable ejection temperature
may be 100°C above the quiescent temperature, allowing sufficient temperature difference
to result in a large reduction in viscosity. For high speed high resolution printing,
the viscosity of the ink at the ejection temperature is preferably less than 10 cP,
and more preferably in the order of 1 cP. The low viscosity results in the ink moving
much more rapidly in response to the oscillating ink pressure, which in turn results
in the ink moving further.
[0176] The reduced viscosity results in selected drops having a peak meniscus position which
is further extended from the nozzle than the peak meniscus position of drops which
are not selected. This allows the drop separation means to discriminate between selected
drops and drops which have not been selected.
[0177] The oscillating ink pressure can be achieved by applying an acoustic wave to the
ink. The waveshape is not critical, but a sinusoidal wave is the simplest to control
and predict, and so is assumed herein. The frequency is the same as, or an integral
multiple of, the drop ejection frequency from a single nozzle. The phase of the oscillation
is preferably accurately timed in relation to the drop ejection cycle.
[0178] An apparatus to cause the acoustic wave includes a piezoelectric crystal the entire
length of the row of nozzles situated in such a way as to cause displacement of the
body of ink in the ink channel supplying the row of nozzles. A sinusoidal voltage
of the appropriate frequency, amplitude and phase is applied to the piezoelectric
crystal. The piezoelectric crystal expands or contracts in response to the applied
voltage, causing displacement of the ink. As the displacement is dynamic and continuous,
pressure waves form in the ink.
[0179] Because the addition of acoustic ink waves adds complexity and expense to printing,
it is most applicable to those applications which are not highly cost sensitive. Such
applications include short run digital color printing, and high quality high speed
color office printing.
Viscous Operation
[0180] The exact operation of printing in accordance with this invention using viscosity
reduction is dependent upon many factors, many of which can be accurately controlled
during the print head manufacturing process, ink manufacturing, or during printer
operation. These factors include:
1) Nozzle radius
2) Nozzle length
3) Barrel geometry
4) Ink pressure period
5) Ink pressure wave amplitude
6) Constant offset in ink pressure
7) Phase of heater actuation pulse relative to ink pressure wave
8) Energy of heat pulse
9) Energy distribution of heat pulse with respect to time
10) Heater geometry
11) Heater position relative to nozzle
12) Thermal conductivity of nozzle materials
13) Thermal conductivity of ink
14) Ink viscosity with respect to temperature
Computer simulations of nozzle dynamics
[0181] Details of the operation print heads have been extensively simulated by computer.
Figures 7 to 15 are some results from an example simulation of invention embodiment
nozzle operation using electrothermal drop selection by reduction in viscosity. The
drop separation means is not modeled in these simulations. As a result, the selected
drop is not separated from the body of ink, and returns to the nozzle. To produce
an operational drop on demand printer, the drop selection means as modeled herein
must be combined with a suitable drop separation means.
[0182] Computer simulation is extremely useful in determining the characteristics of phenomena
which are difficult to observe directly. Nozzle operation is difficult to observe
experimentally for several reasons, including:
1) Useful nozzles in accordance with the invention are microscopic, with important
phenomena occurring at dimensions of order 1 µm.
2) The time scale of a drop ejection is a few microseconds, requiring very high speed
observations.
3) Important phenomena occur inside opaque solid materials, making direct optical
observation impossible.
4) Some important parameters, such as heat flow, viscosity, and fluid velocity are
difficult to directly observe.
5) The cost of fabrication of experimental nozzles is high.
[0183] Computer simulation overcomes the above problems. A leading software package for
fluid dynamics simulation is FIDAP, produced by Fluid Dynamics International Inc.
of Illinois, USA (FDI). FIDAP is a registered trademark of FDI. Other simulation programs
are commercially available, but FIDAP was chosen for its high accuracy in transient
fluid dynamic, energy transport, and surface tension calculations. The version of
FIDAP used is FIDAP 7.06.
Theoretical basis of calculations
[0184] The theoretical basis for fluid dynamic and energy transport calculations using the
Finite Element Method, and the manner that this theoretical basis is applied to the
FIDAP computer program, is described in detail in the FIDAP 7.0 Theory Manual (April
1993) published by FDI.
Material characteristics
[0185] The table "Properties of materials used for FIDAP simulation" gives approximate physical
properties of materials which may be used in the fabrication of the print head.
[0186] The properties of 'ink' used in this simulation are estimates for a hot melt black
ink containing a solid pigment dispersed in a vehicle comprising a mixture of C
18 -C
24 acids or alcohols and/or appropriate waxes with melting points between 60°C and 80°C.
At the ambient temperature of the simulation (80°C), the vehicle is liquid, with a
viscosity of approximately 100 cP. The viscosity values for the hot melt ink do not
represent any particular formulation, but rather a recommended target viscosity curve.
The black colorant is 2% Acheson graphite with a particle size less than 10 µm. The
graphite provides an intense black colorant with excellent stability and lightfastness,
as well as increasing the thermal conductivity of the ink.. Acheson graphite has a
thermal conductivity of 150 W m
-1 K
-1 parallel to the axis of extrusion, and 111 W m
-1 K
-1 normal to the axis of extrusion at 100°C. Inclusion of graphite as the colorant increases
the thermal conductivity of the ink vehicle. This is important, as a relatively high
thermal conductivity is desirable for high speed and low power operation. If the colorant
chosen does not have a high thermal conductivity, and the ink vehicle has a low thermal
conductivity, then additives to increase the thermal conductivity to at least 0.5
W m
-1 K
-1 are recommended for high speed printers.
[0187] To obtain convergence for transient free surface simulations with variable surface
tension at micrometer scales with microsecond transients using FIDAP 7.06, it is necessary
to nondimensionalize the simulation.
[0188] The values which have been used in the example simulation using the FIDAP program
are shown in the table "Properties of materials used for FIDAP simulation". Most values
are from CRC Handbook of Chemistry and Physics, 72nd edition, or Lange's handbook
of chemistry, 14th edition.
| Properties of materials used for FIDAP simulation |
| Property |
|
Physical value |
Dimensionless value |
| Characteristic length (L) |
All |
1 µm |
1 |
| Characteristic velocity |
Ink |
1 m s-1 |
1 |
| (U) |
|
|
|
| Characteristic time |
All |
1 µs |
1 |
| Quiescent temperature |
All |
80°C |
80 |
| Viscosity (η) |
At 80°C |
100 cP |
153 |
| |
At 100°C |
10 cP |
15.3 |
| |
At 120°C |
2 cP |
3.06 |
| |
At 140°C |
1.5 cP |
2.29 |
| |
At 160°C |
1.2 cP |
1.84 |
| |
At 180°C |
1.0 cP |
1.53 |
| Surface tension (γ) |
At 20°C |
27 mN m-1 |
41.3 |
| |
At 80°C |
22 mN m-1 |
33.7 |
| |
At 160°C |
18 mN m-1 |
27.6 |
| Pressure cycle period |
Ink |
72 µs |
72 |
| Actuation pulse duration |
Heater |
36 µs |
36 |
| Thermal Conductivity (k) |
Ink (2% Graphite) |
2.6 W m-1 K-1 |
4.12 |
| |
Crystalline silicon |
148 W m-1 K-1 |
234.5 |
| |
Amorphous SiO2 |
1.5 W m-1 K-1 |
2.377 |
| |
Heater |
23 W m-1 K-1 |
36.45 |
| |
Si3N4 |
19 W m-1K-1 |
30.11 |
| Specific heat (cp) |
Ink |
2,000 J kg-1 K-1 |
2.071 |
| |
Crystalline silicon |
711 J kg-1 K-1 |
0.7362 |
| |
Amorphous SiO2 |
738 J kg-1 K-1 |
0.7642 |
| |
Heater |
250 J kg-1 K-1 |
0.2589 |
| |
Si3N4 |
712 J kg-1 K-1 |
0.7373 |
| Density (ρ) |
Ink |
0.9 g cm-3 |
1.38 |
| |
Crystalline silicon |
2.32 g cm-3 |
3.551 |
| |
Amorphous SiO2 |
2.19 g cm-3 |
3.352 |
| |
Heater |
10.5 g cm-3 |
16.07 |
| |
Si3N4 |
3.16 g cm-3 |
4.836 |
Results of fluid dynamic simulations
[0189] Figures 10(a) to 10(j) are plots of an example nozzle from a combined thermal and
fluid dynamic simulation. Axi-symmetric simulation is used, as the example nozzle
is cylindrical in form. There are five deviations from cylindrical form. These are
the connections to the heater, the laminar air flow caused by paper movement, gravity
(if the printhead is not vertical), the geometry of the nozzle barrel more than 25
µm from the axis of symmetry, and the presence of adjacent nozzles in the substrate.
The effect of these factors on drop ejection is minor.
[0190] Figure 7 is a graph of ink pressure as a function of time. The pressure varies sinusoidally
with a period of 72 µs. Three pressure cycles are shown. The horizontal axis is in
units of 100 µs, from 0 µs to 216 µs.
[0191] Figure 8 shows the temperature at various points in the nozzle as a function of time,
with an electrothermal pulse applied during the third cycle of figure 7. The pulse
starts at 16 µs, and has a duration of 36 µs. The pulse is shaped top maintain the
temperature at the nozzle tip (where the ink meniscus meets the nozzle) approximately
constant at 180°C for the duration of the pulse. This is shown by the curve B. The
curve A shows the temperature at the centre of the heater. The curve C shows the temperature
at a point on the surface of the print head 14.5 µm from the heater. The horizontal
axis is identical to that of figure 20. The vertical axis is in units of 100°C. The
ambient temperature is 80°C. Figure 9 shows
[0192] the position of the meniscus extremum as a function of time. The horizontal axis
is identical to that of figure 7. The first two cycles (0 µs to 144 µs) show unselected
drops, where the heater is not energized. In this case, the temperature is low and
the viscosity is high (100 cP). The high viscosity results in a small motion (approximately
2 µm peak to peak) in response to the pressure variations shown in figure 7. During
the third cycle of the pressure wave, the heater is energized, resulting in the temperature
increase shown in figure 8. The reduced viscosity results in a meniscus movement of
approximately 10 µm. The difference in meniscus position between the unselected drops
and the selected drops allows the drop separation means to ensure that selected drops
proceed to form spots on the recording medium, and unselected drops do not. The drop
separation means is not modeled in this simulation, and therefore the selected drop
moves back into the nozzle. This can be seen in figure 9 during the period from 196
µs to 216 µs.
[0193] Figures 10(a)-10(j), 11, 12, 14 and 15 show cross sections of a nozzle during operation.
Only the region in the tip of the nozzle is shown, as most phenomena relevant to drop
selection occur in this region. These plots show a cross section of the nozzle tip,
from the axis of symmetry out to a distance of 22 µm. The nozzle radius is 10 µm,
and the plots are to scale. In these figures 100 is ink, 101 is the silicon substrate,
102 is SiO
2, 103 marks the position of one side of the annular heater, 108 is a Si
3N
4 passivation layer and 109 is lipophobic surface coating.
[0194] Figures 10(a), 10(c), 10(e), 10(g) and 10(i) show thermal contours at 5°C intervals.
Figures 10(b), 10(d), 10(f), 10(h) and 10(j) show viscosity contours and drop evolution
at various times during a drop ejection cycle.
[0195] Figure 10(a) shows the temperature contours at the start of the heater energizing
pulse, at a time of 160 µs as shown in figures 20 to 22. The power applied to the
heater at this time is 180 mW. The ambient temperature is 80°C, and temperature contours
are shown at 5°C intervals from 85°C to 120°C.
[0196] Figure 10(b) shows the viscosity contours at a time of 160 µs. The bulk ink viscosity
is 100 cP, and there is little variation in viscosity at this time. The lines in the
solid materials (silicon 101, SiO
2 102, and Si
3N
4 108) show the finite element calculation mesh.
[0197] Figure 10(c) shows the temperature contours 10 µs after the start of the heater energizing
pulse, at a time of 170 µs. The power applied to the heater at this time is 74 mW.
Temperature contours are shown at 5°C intervals from 85°C to 195°C.
[0198] Figure 10(d) shows the viscosity contours at a time of 170 µs. The ink viscosity
varies from 100 cP away from the heater to below 2 cP near the heater.
[0199] Figure 10(e) shows the temperature contours 20 µs after the start of the heater energizing
pulse, at a time of 180 µs. The power applied to the heater at this time is 60 mW.
[0200] Figure 10(f) shows the viscosity contours at a time of 180 µs. The reduced ink velocity
has allowed the increase in ink pressure to move the ink further than it would have
moved had the heater not been energized. The viscosity is lowest at the walls of the
nozzle tip, where the temperature is highest. This aids in the movement of the ink,
as the retarding effect of ink viscosity on ink movement is greater near the walls
of the nozzle than at the axis of the nozzle.
[0201] Figure 10(g) shows the temperature contours 30 µs after the start of the heater energizing
pulse, at a time of 190 µs. The power applied to the heater at this time is 58 mW.
[0202] Figure 10(h) shows the viscosity contours at a time of 190 µs. The 'crinkling' of
the viscosity contour (especially visible on the 4 cP contour) is a calculation artifact
of the finite element simulation, resulting from interpolation within elements combined
with the non-linear relationship between temperature and viscosity. The effect of
this interpolation on the simulation is negligible.
[0203] Figure 10(i) shows the temperature contours 40 µs after the start of the heater energizing
pulse, at a time of 200 µs. This is 4 µs after the heater has been turned off, and
the maximum temperature at this stage is 155°C.
[0204] Figure 10(j) shows the viscosity contours at a time of 200 µs. At this stage, the
drop separation means would become the major factor determining meniscus position.
Most of the high temperature, low viscosity ink proceeds to form the selected drop
and produce a spot on the recording medium. The reduced viscosity and elevated temperature
of the selected drop aids in binding the drop to the fibers of a fibrous recording
medium before the drop freezes.
[0205] Figure 11 shows the movement of meniscus position during a cycle when the ink drop
is not selected. Ink meniscus positions at 10 µs intervals from 88 µs to 128 µs are
shown. These correspond to the same phases of the ink pressure wave as the intervals
from 160 µs to 200 µs shown in figure 12. The meniscus moves approximately 2 µm in
response to the oscillating pressure.
[0206] Figure 12 shows the movement of meniscus position during a drop selection cycle.
Ink meniscus positions at 10 µs intervals from 160 µs to 200 µs are shown. These correspond
to the same phases of the ink pressure wave as the intervals from 88 µs to 128 µs
shown in figure 11. The meniscus moves approximately 10 µm in response to the oscillating
pressure, due to the lower viscosity of the heated ink.
[0207] Figure 13 shows the position of the meniscus extremum as a function of time for a
simulation in which the frequency of the ink pressure wave, and frequency of drop
selection and separation are halved. The maximum printing rate of this arrangement
is one half that of arrangement for which simulation results are shown in figures
10(a) to 10(j). However, the absolute difference in position between unselected drops
and selected drops is greater, providing an increased operating margin for the drop
separation process. The horizontal axis is similar to that of figure 9, but the time
axis is expanded by a factor of two. The vertical scale of this graph is different
from that of figure 9. The first two cycles (0 µs to 288 µs) show unselected drops,
where the heater is not energized. In this case, the temperature is low and the viscosity
is high (100 cP). The high viscosity results in a small motion (approximately 4 µm
peak to peak) in response to the pressure variations with a period of 144 µs. During
the third cycle of the pressure wave, the heater is energized. The reduced viscosity
results in a meniscus movement of approximately 15 µm. The drop separation means is
not modeled in this simulation, and therefore the selected drop moves back into the
nozzle. This can be seen in figure 13 during the period from 392 µs to 432 µs.
[0208] Figure 14 shows the movement of meniscus position during a cycle when the ink drop
is not selected. Ink meniscus positions at 20 µs intervals from 176 µs to 256 µs are
shown. These correspond to the same phases of the ink pressure wave as the intervals
from 320 µs to 400 µs shown in figure 15. The meniscus moves approximately 4 µm in
response to the oscillating pressure.
[0209] Figure 15 shows the movement of meniscus position during a drop selection cycle.
Ink meniscus positions at 20 µs intervals from 320 µs to 400 µs are shown. These correspond
to the same phases of the ink pressure wave as the intervals from 176 µs to 256 µs
shown in figure 14. The meniscus moves approximately 16 µm in response to the oscillating
pressure, due to the lower viscosity of the heated ink.
[0210] The nozzles for which simulation results are shown in figure 7 to 15 are of a different
design than the nozzles shown in figures 1 and 2. There are many possible designs
for nozzles for print heads. As the fundamental requirements of a nozzle are somewhat
simpler than the requirements of a thermal ink jet nozzle, the actual geometry chosen
for the nozzle can largely be determined for convenience in the manufacturing process.
Variable drop size
[0211] Several mechanisms may be used to achieve variable drop size, to allow operation
as a contone printer instead of a bi-level printer. The range of drop size variation
will depend upon the exact characteristics of the print head, drive circuitry, drop
separation means, and ink used.
[0212] Means of achieving modulation of drop size on a drop-by-drop basis include:
1) Modulation of the time of the leading edge of the heater pulse, maintaining the
trailing edge constant.
2) Modulation of the time of the trailing edge of the heater pulse, maintaining the
leading edge constant.
3) Modulation of the time of the leading edge of the heater pulse, maintaining the
pulse width constant.
4) Modulation of the voltage of the heater pulse.
[0213] The foregoing describes various general and preferred embodiments of the present
invention. Characteristics of one detailed preferred embodiment are set forth in the
tables of Appendix A. Modifications, obvious to those skilled in the art, can be made
to the general and specific embodiments without departing from the scope of the claims.

