[0001] This invention relates to acoustic ink printers and, more particularly, to methods
and means for reducing their focusing sensitivity.
[0002] Acoustic ink printing is a promising direct marking technology. It potentially is
an attractive alternative to ink jet printing because it has the important advantage
of obviating the need for the nozzles and small ejection orifices that have caused
many of the reliability and picture element (i.e., "pixel") placement accuracy problems
which conventional drop on demand and continuous stream ink jet printers have experienced.
[0003] Acoustic ink printers of the type to which this invention pertains characteristically
include one or more droplet ejectors for launching respective converging acoustic
beams into a pool of liquid ink, typically so that the principal or chief ray of each
beam is at a near normal angle of incidence with respect to the free surface of the
ink, with the angular convergence of each beam being selected so that it comes to
focus essentially on the free ink surface. Printing usually is performed by modulating
the radiation pressure each beam exerts against the free ink surface. This modulation
enables the effective pressure of each beam to make brief, controlled excursions to
a sufficiently high pressure level for overcoming the restraining force of surface
tension by an adequate margin to eject individual droplets of ink from the free ink
surface on command at a sufficient velocity to cause the droplets to deposit in an
image configuration on a nearby recording medium.
[0004] Prior work has demonstrated that acoustic ink printers having droplet ejectors composed
of acoustically illuminated spherical focusing lenses can print precisely positioned
pixels at a sufficient resolution for high quality printing of relatively complex
images. See, for example, our EP-A- 0 272 154, EPA- 0 272 899, and EP-A- 0 272 092.
It also has been shown that provision can be made in such printers for dynamically
varying the size of the pixels they are printing, thereby facilitating, for example,
the printing of variable gray level images. See, for example, our EP-A- 0 273 664.
[0005] Although acoustic lenses currently are a favored focusing mechanism for the droplet
ejectors of acoustic ink printers, it is to be understood that there are known alternatives;
including (1) piezoelectric shell transducers, such as described in US-A-4,308,547,
which issued and (2) planar piezoelectric transducers having concentric interdigitated
electrodes (IDT's), such as described in our EP-A- 0 216 589. Furthermore, it will
be apparent that the existing droplet ejector technology is sufficient for designing
various printhead configurations, including (1) single ejector embodiments for raster
scan printing, (2) matrix configured ejector arrays for matrix printing, and (3) several
different types of pagewidth ejector arrays, ranging from (i) single row, sparse arrays
for hybrid forms of parallel/serial printing to (ii) multiple row, staggered arrays
with individual ejectors for each of the pixel positions or addresses within a pagewidth
image field (i.e., single ejector/pixel/line) for ordinary line printing. As will
be appreciated, practical considerations can influence or even govern the choice of
droplet ejectors for some printhead configurations.
[0006] Preferably, the size droplets of ink that are ejected by an acoustic ink printer,
as well as the velocity at which they are ejected, are substantially unaffected by
minor variations in the free ink surface level of the printer, such as may be caused
by the gradual depletion and/or evaporation of the ink. Relatively straightforward
provision may be made to compensate for readily detected changes in the level of the
free ink surface, but it is technically difficult and more costly to detect small
surface level changes with the precision that is required to compensate for them effectively.
Accordingly, the tolerance of acoustic ink printers to slight changes in their free
ink surface levels is an important consideration.
[0007] Unfortunately, prior acoustic ink printers have been overly sensitive to variations
in their free ink surface levels. For example, spherical acoustic focusing lenses
having a usable depth of focus on the order of one wavelength of the acoustic radiation
in the ink have been developed for such printers. However, it has been found that
variations of only one quarter wavelength or even less in the free ink surface levels
of printers embodying these lenses tend to materially affect the size of the droplets
that are ejected and the velocity at which they are ejected. Research indicates that
the half wave resonances which are created because of acoustic reflections within
the resonant cavity or cavities of these printers are a principal cause of this problem.
[0008] As will be understood, most of the incident acoustic radiation generally is reflected
from the free ink surface of an acoustic ink printer because the ink/air interface
inherently is acoustically mismatched. Moreover, the ink necessarily is contained
within a finite acoustic cavity, so a significant portion of the reflected radiation
tends to be returned to the free ink surface after being reflected either from the
droplet ejector/ink interface or from an acoustically mismatched interface at the
rear of the droplet ejector, depending upon whether the droplet ejector is acoustically
matched to the ink or not. Typically, the roundtrip propagation time for the return
of the reflected radiation to the free ink surface is shorter than the duration of
the very narrow band (i.e., single frequency) rf tone bursts that have been proposed
for driving the droplet ejectors of prior acoustic ink printers, so the reflected
and the non-reflected radiation that are incident on the free ink surface coherently
interfere. This interference may be constructive, destructive, or partially constructive
and partially destructive, but the free ink surface levels at which resonant constructive
interference and anti-resonant destructive interference occur differ from each other
by only one quarter of the wavelength of the acoustic radiation in the ink. Consequently,
variations as small as one quarter wavelength or even less in the free ink surface
level can significantly alter the effective radiation pressure of the focused beam
or beams, unless suitable provision is made to prevent or suppress those resonances.
[0009] The present invention is intended to overcome these problems of known acoustic ink
printers, and provides an acoustic ink printer having a printhead including at least
one rf excited droplet ejector for launching pulse modulated, converging acoustic
radiation in to a supply of liquid ink such that the radiation comes to focus approximately
on a free surface of said ink, whereby individual droplets of ink of controlled size
are ejected from said free ink surface on command at a controlled ejection velocity;
said ink being contained within an acoustic cavity of finite length, such that the
acoustic radiation lauched into said ink tends to reflect from and then back to said
free ink surface so as to coherently interfere with unreflected radiation from said
droplet ejector, thereby causing an acoustic power perturbation at said free ink surface;
characterised by
means for suppressing said power perturbation sufficiently to prevent it from materially
affecting either the size or the ejection velocity of said droplets, even if said
free ink surface experiences level variations as a function of time.
[0010] In accordance with the present invention, provision is made for significantly reducing
the effect of half wave resonances on the acoustic power density of the acoustic beam
or beams that are incident on the free ink surface of an acoustic ink printer, thereby
reducing its focusing sensitivity. Some of the approaches that are taken to accomplish
this rely upon acoustic losses to damp out the halfwave resonances and anti-resonances,
while others employ multi-frequency rf voltage pulses for driving the droplet ejector
or ejectors so that the acoustic power perturbations caused by the half wave resonances
and anti-resonances of the different frequencies tend to neutralize each other. Indeed
the use of an acoustically lossy ink to dampen the half wave resonances and anti-resonances
is compatible with selecting the frequency content of the acoustic radiation to neutralize
them, so a combination of those two techniques can be employed, if desired, to carry
out this invention.
[0011] Still other features and advantages of this invention will become apparent when the
following detailed description is read in conjunction with the attached drawings,
in which:
Fig. 1 is a simplified, fragmentary, sectional view of an acoustic ink printer;
Fig. 2 diagrammatically illustrates the general manner in which the acoustic power
density in the center of the focal spot at the free ink surface of the printer shown
in Fig. 1 would vary as a function of surface level changes in the absence of half
wave resonances;
Fig. 3 diagrammatically illustrates the effect of single frequency half wave resonances
on the tolerance of the printer shown in Fig. 1 to variations in its free ink surface
level;
Fig. 4 is a simplified, fragmentary, sectional view of an acoustic ink printer which
is driven by dual frequency rf pulses to suppress half wave resonances in accordance
with one aspect of this invention;
Fig. 5 diagrammatically illustrates the increased tolerance of the printer shown in
Fig. 4 to variations in its free ink surface level;
Fig. 6 is a simplified, fragmentary, sectional view of an acoustic ink printer which
is driven by multi-frequency rf pulses to even further suppress half wave resonances;
and
Fig. 7 diagrammatically illustrates the near optimum tolerance of the printer shown
in Fig. 6 to variations in its free ink surface level.
[0012] While the invention is described in some detail hereinbelow with reference to certain
illustrated embodiments, it is to be understood that there is no intent to limit it
to those embodiments. On the contrary, the aim is to cover all modifications, alternatives
and equivalents falling within the scope of the invention as defined by the appended
claims.
[0013] Turning now to the drawings, and at this point especially to Fig. 1, there is an
acoustic ink printer 21 (shown only in relevant part) having a printhead 22 comprising
one or more droplet ejectors 23 (only one can be seen) for ejecting individual droplets
of ink 24 on command from the free surface 25 of a liquid ink supply 26 at an ejection
velocity that is sufficient to cause them to deposit promptly in an image configuration
on a nearby recording medium 27. As shown, the droplet ejectors 23 are immersed in
the ink 26, but it will be evident that they could be acoustically coupled to the
ink 26 by one or more liquid or solid, intermediate acoustic coupling media (not shown).
Moreover, in the illustrated embodiment, the recording medium 27 is advanced during
operation at a predetermined rate (by means not shown) in the cross-line or process
direction relative to the printhead 22, as indicated by the arrow 29, such as for
line printing by a pagewidth array of droplet ejectors 23. It, however, will be understood
that the relative motion between the printhead 22 and the recording medium 27 could
be modified as required to accommodate different printhead configurations and different
printing patterns.
[0014] In operation, each of the droplet ejectors 23 launches a converging acoustic beam
30 into the liquid ink 26, such that the principal or chief ray of the beam 30 is
at a near normal angle of incidence with respect to the free ink surface 25. In keeping
with prior teachings, the angular convergence of each beam 30 is selected to cause
it to come to focus essentially on the free ink surface 25. Furthermore, the radiation
pressure which each beam 30 exerts against the free ink surface 25 is modulated in
accordance with the image data applied to the corresponding droplet ejector 23, whereby
the radiation pressure is briefly elevated to a level above the threshold pressure
for the onset of droplet ejection whenever there is a "black" pixel to be printed
and maintained at a level below that threshold whenever there is a "white" pixel to
be printed.
[0015] As illustrated, each of the droplet ejectors 23 suitably comprises a spherical acoustic
focusing lens 31 which is defined by small spherical depression or indentation in
the upper or anterior face of a substrate 32. Although only one lens 31 can be seen,
it will be understood that many of them could be distributed on spaced apart centers
across the upper face of the substrate 32 if it is desired, for example, to provide
a pagewidth printhead having a one or two dimensional array of droplet ejectors 23.
Regardless, however, of the specific configuration of the printhead 22, the substrate
32 is composed of a material, such as silicon, silicon nitride, silicon carbide, alumina,
sapphire, fused quartz and certain glasses, having an acoustic velocity which is substantially
higher than the acoustic velocity of the ink 26. A printhead 22 having a single droplet
ejector 23 adequately illustrates the problem to which this invention is addressed
and the solutions that are provided, so the remainder of this disclosure will be simplified
by assuming that the printhead 22 has just one focusing lens 31.
[0016] To illuminate the lens 31, a piezoelectric transducer 36, which is deposited on or
otherwise intimately bonded to the lower or posterior face of the substrate 32, is
excited into oscillation during operation by a pulse modulated rf voltage that is
applied across it, thereby coupling an acoustic wave into the substrate 32. Suitably,
the transducer 36 is composed of a piezoelectric film 37, such as a zinc oxide (ZnO)
film, which is sandwiched between a pair of electrodes 38 and 39, but it will be apparent
that other piezoelectric materials and transducer configurations could be employed.
The lens 31, in turn, reshapes the wavefront of the incident acoustic radiation, thereby
launching it into the ink 26 as a converging acoustic beam 30 which comes to focus
substantially on the free ink surface 25.
[0017] As shown in Fig. 2, the acoustic power density ΔP at the free ink surface 25 inherently
varies as a function of the ink surface level Δh because of the focusing properties
of the acoustic beam 30. However, in the absence of other factors, the level of the
free ink surface 25 could vary over a range determined by the usable depth of focus
of the lens 31 (e. g., a range on the order of the wavelength, λ, of the acoustic
radiation in the ink 26 if the lens 31 has a F# ≈ 1), without materially affecting
the radiation pressure the beam 30 exerts against it.
[0018] Unfortunately, as shown in Fig. 3, half wave resonances commonly have been a dominant,
although unrecognized, factor in determining the focusing sensitivity of prior acoustic
ink printers. As previously pointed out, such resonances commonly occur because of
coherent interference between the previously unreflected and the reflected components
of the acoustic radiation that is incident on the free ink surface 25. Moreover, the
boundary conditions on the free ink surface level for resonant constructive interference
and anti-resonant destructive interference differ from each other by only one quarter
wavelength. Therefore, whenever the free ink surface level of the printer 21 (Fig.
1) varies by as little a one quarter wavelength or even less, the efficiency with
which acoustic power is transferred from its droplet ejector or ejectors 23 to its
free ink surface 25 (i.e., the acoustic coupling efficiency) tends to fluctuate sufficiently
to affect the size of the droplets that are ejected and/or the velocity at which they
are ejected significantly.
[0019] One possible solution to this problem is to utilize lossy inks for acoustic ink printing,
whereby the half wave resonances are so attenuated that they have little, if any,
effect. The acoustic loss (dB/m) caused by the ink 26 (Fig. 1) tends to be greater
for inks of higher viscosity, so it is noted that a meaningful reduction in the amplitude
of the troublesome half wave resonances has been observed with inks having absolute
viscosities well above that of water and that half wave resonances do not seem to
materially affect the focusing sensitivity of acoustic ink printers employing inks
having even higher absolute viscosities. The particular viscosities at which significant
damping of the half wave resonances occur are dependent upon the acoustic path length
in the ink 26 and on the rf frequency employed, but a readily noticeable reduction
in the acoustic power perturbations at the free ink surface 25 typically will be observed
when employing inks having absolute viscosities on the order of at least 5-10 centipoise.
As will be appreciated, lossy inks are a partial or complete solution to the half
wave resonance problem because they cause substantial attenuation of the reflected
radiation during its roundtrip return to the free ink surface 25, thereby reducing
the magnitude of the perturbation it produces.
[0020] Another approach, which may be used alone or in combination with lossy inks, for
desensitizing acoustic ink printers to half wave resonances is to drive the droplet
ejector or ejectors 23 of the printer 21 with multi-frequency rf tone bursts, such
that the power perturbations caused by the resonances of one frequency component substantially
offset or neutralize the perturbations caused by the anti-resonances of another frequency
component, and vice-versa. More particularly, referring to the dual tone case illustrated
in Fig. 4, it will be understood that if the resonances of the lens substrate 32 and
of the transducer 35 (i. e., the printhead 22) are ignored, a free ink surface level
at which one frequency, f₁, is resonant and another frequency f₂, is anti-resonant
can be determined as a function of the displacement, I
i, of the free ink surface 25 from the central portion of the lens surface (i.e., the
"acoustical center" of the lens 31). The acoustic impedance of the lens substrate
32 characteristically is higher than that of the ink 26, so the acoustic velocity
field undergoes a 180° phase shift upon reflection at the lens/ink interface. Thus,
an anti-resonance occurs whenever the free ink surface 25 is displaced an integer
number, n, of half wavelengths from the acoustical center of the lens 31, so an anti-resonant
condition exists for the frequency f₁ if:
f₁ = n V
i/2I
i (1)
where: V
i = the velocity of sound in the ink.
[0021] On the other hand, a resonance occurs whenever the free ink surface 25 is displaced
an odd integer number of quarter wavelengths from the acoustical center of the lens
31, so an resonant condition exists for the frequency f₂ if:
f₂ = nV
i/2I
i + V
i/4I
i (2)
[0022] It, therefore, follows that if the two rf frequencies, f₁ and f₂, are selected so
that their frequency separation, Δf
i, in the ink 26 is:
Δf
i = V
i/4I
i (3)
the power perturbations caused by their resonances and anti-resonances will tend to
neutralize each other, thereby reducing the sensitivity of the printer 21 to minor
variations in its free ink surface level. See Fig. 5.
[0023] To even further reduce the effect of half wave resonances on the power density at
the free ink surface 25, the frequency content of the rf drive pulses may be increased.
For example, as shown in Fig. 6, a mixer 51 may be employed for mixing an rf carrier,
such as a 150MHz carrier, with a cyclical psuedo-random bit sequence signal having
a frequency up to about 20MHz, such that the drive pulses that are applied to the
transducer 35 by a switch or modulator 53 are composed of a large number of rf frequencies
ranging from about 130 MHz to about 170MHz. Suitably, the psuedo-random bit sequence
signal is supplied by a psuedo-random bit generator 52 which cycles at the data rate
of the printer 21(i. e., the rate at which data bits are applied to the modulator
53), thereby ensuring that the rf power of the drive pulses applied to the transducer
35 is substantially uniform. Alternatively, a linear chirp signal could be employed
to modulate the rf carrier frequency, but this has the disadvantage of requiring that
the carrier be frequency modulated at a high rate. Still another alternative that
may suggest itself is to employ data modulated, essentially "white" rf noise for driving
the transducer 35, but that approach is not a favored because the rf power level of
such noise may differ considerably from pulse-to-pulse.
[0024] Considering the acoustic coupling characteristics of the illustrated acoustic ink
printer in some additional detail, it will be understood that its printhead 22 is
a resonator which is only weakly coupled to the ink 26, unless the printhead 22 is
acoustically matched to the ink 26, such as by coating the lens or lenses 31 with
a quarter wavelength acoustic matching layer (not shown). Moreover, even if such an
acoustic matching layer is used at the printhead/ink interface, the acoustic coupling
efficiency is likely to vary as a function of frequency. In the dual tone embodiment
of Fig. 4, the amplitudes of the two frequency components, f₁ and f₂, can be scaled
as required to ensure that their resonances and anti-resonances substantially equally
and oppositely perturb the acoustic power at the free ink surface 25. However, when
a broad spectrum rf source is employed, such as in Fig. 6, it is simpler to design
the source so that it has a relatively flat amplitude across its entire frequency
spectrum. Thus, for those embodiments, it is advisable to use a printhead 22 with
a resonant cavity length, I
s, which is much greater than the thickness or resonant cavity length, I
i, of the liquid ink layer 26. The frequency spacing, Δf
s and Δf
i, of the half wave resonances in the printhead 22 and the ink 26, respectively, are
given by:
Δf
s = V
s/2I
s (4)
and
Δf
i = V
i/2I
i (5)
[0025] Thus, if due consideration is given to the difference between the velocity of sound
in the printhead 22 and in the ink 26, their resonant cavity lengths, I
s and I
i, can be selected to cause the the printhead resonances to have a much finer frequency
spacing than the ink resonances. Accordingly, many of the frequency components of
the rf source will couple from the lens or lenses 31 into the ink 26 within the passband
of each resonance of the ink 26, thereby exciting the ink 26 with a sufficient spectrum
of frequencies to ensure that the power perturbations caused by the half wave resonances
and anti-resonances of the individual frequencies substantially neutralize each other.
[0026] In view of the foregoing, it will now be understood that the present invention reduces
the effect of half wave resonances on the focusing sensitivity of acoustic ink printers,
thereby increasing the tolerance of such printers to variations in their free ink
surface levels. Furthermore, it will be appreciated that this invention may be carried
out by making provision for increasing the damping of the half wave resonances, or
for neutralizing the power perturbations caused by them, or for utilizing a combination
of those techniques to reduce the unwanted power perturbations that are caused by
such half wave resonances.
1. An acoustic ink printer having a printhead (22) including at least one rf excited
droplet ejector (23) for launching pulse modulated, converging acoustic radiation
(30) into a supply of liquid ink (26) such that the radiation comes to focus approximately
on a free surface (25) of said ink, whereby individual droplets (24) of ink of controlled
size are ejected from said free ink surface (25) on command at a controlled ejection
velocity; said ink being contained within an acoustic cavity (31) of finite length,
such that the acoustic radiation launched into said ink tends to reflect from and
then back to said free ink surface so as to coherently interfere with unreflected
radiation from said droplet ejector, thereby causing an acoustic power perturbation
at said free ink surface; characterised by
means for suppressing said power perturbation sufficiently to prevent it from materially
affecting either the size or the ejection velocity of said droplets, even if said
free ink surface experiences level variations as a function of time.
2. The printer of Claim 1 wherein
said means for suppressing said power perturbation is an acoustically lossy ink for
amplitude attenuating the reflected radiation sufficiently to prevent it from materially
affecting either the size or the ejection velocity of said droplets.
3. The printer of Claim 1 wherein
said means for suppressing said power perturbation includes a pulse modulated rf signal
source for exciting each droplet ejector with a plurality of rf frequencies selected
so that the power purturbations caused by their resonances and anti-resonances substantially
counteract each other at said free ink surface.
4. The printer of Claim 3 wherein
said signal source supplies a pair of rf frequencies at amplitude levels which are
scaled to cause their resonances and anti-resonances to substantially equally and
oppositely perturb the acoustic power at said free ink surface.
5. The printer of Claim 3 wherein
said signal source has a broad frequency spectrum and a substantially uniform signal
amplitude across said frequency spectrum, and
said printhead is configured to couple many of the frequencies within said spectrum
into said ink within the passband of a single resonance of each of said frequencies
within said ink,
whereby the acoustic power perturbations caused by the resonances and anti-resonances
of said frequencies tend to neutralize each other at the free ink surface.
6. The printer of Claim 5 wherein said signal source includes a psuedo-random bit
generator (52) for supplying a cyclical psuedo-random bit sequence signal, and means
(53) for frequency modulating a rf carrier in accordance with said psuedo-random signal.
7. The printer of any one of Claims 3 to 6, wherein
said means for suppressing said power perturbations further includes an acoustically
lossy ink for amplitude attenuating the reflected radiation sufficiently to significantly
dampen said resonances and anti-resonances.
8. The printer of any one of Claims 1 to 7, wherein
each of said droplet ejectors comprises a spherical acoustic focusing lens (31) for
launching said converging acoustic radiation into said ink.