[0001] The invention relates to a method of manufacturing a plate having a plane main surface
through polishing of the main surface of the plate.
[0002] The invention also relates to a method of manufacturing a plate having parallel main
surfaces through simultaneous polishing of the two main surfaces.
[0003] The invention further relates to a device suitable for implementing the methods according
to the invention.
[0004] In the present Patent document, the term "polishing" is used as a blanket term for
precision machining techniques such as grinding, polishing, and lapping which are
suitable for manufacturing a plate with an accurately machined surface and whereby
a bulk-reduction treatment is carried out at the surface of the plate by means of
a machining agent and a polishing surface. The term "polishing surface" in the present
Patent document designates the surface by means of which a main surface of a plate
is polished.
[0005] Methods and a device suitable for polishing plates are known from US Patent US-A-4940507
and are used
inter alia for polishing comparatively thin plates such as, for example, silicon or glass slices.
The plate is brought between two polishing surfaces in the known device. Polishing
agent is introduced between the polishing surface and the plate through openings in
the polishing surface, and material is removed from the plate through the displacement
of the plate relative to the polishing surfaces. In the known device, the result of
the polishing process is dependent on the positions and the shape of the openings
in the polishing surface. The accuracy as regards planeness and parallelity of the
main surfaces which can be achieved by the known methods and device, however, are
limited.
[0006] The invention has for its object to provide a method by which the planeness of a
main surface of a plate is enhanced.
[0007] The method according to the invention achieves this object in that first the main
surface of the plate is prepared through polishing until the main surface has a convex
or concave initial shape, and in that subsequently at least once a bulk-reduction
cycle is performed during which, if the initial shape is concave, the main surface
is so polished that the main surface is given consecutively a substantially plane
shape, a convex shape, and again a substantially plane shape, and, in the case of
a convex initial shape, the main surface is so polished that the main surface is given
consecutively a substantially plane shape, a concave shape, and again a substantially
plane shape.
[0008] During polishing of a convex surface into a concave surface or
vice versa, the main surface of the plate has a substantially plane shape at a certain moment.
Polishing may be stopped at that certain moment. It is found, however, that the deviation
of the main surface from an exact plane shape is reduced when the main surface is
polished further until it has a concave shape and subsequently the main surface is
polished so that it will have a convex shape again. In this process, the main surface
will have a substantially exact plane shape at a certain moment. The deviation from
an exact plane shape is smaller now than in the previous plane shapes. The more often
the shape of the main surface is changed from convex to concave, the smaller the deviation
from exact planeness of the plane shape will be at the moment of transition from a
convex to a concave shape, or
vice versa.
[0009] The invention also has for its object to provide a method by which the parallelity
of the main surfaces of a plate is increased.
The method according to the invention achieves this object in that first the main
surfaces of a plate are prepared through polishing until these main surfaces have
a convex, plane, or concave initial shape, and in that subsequently at least once
a bulk-reduction cycle is performed during which, in the case of a plate having edges
which are thicker than a central portion surrounded by the edges, the main surfaces
are so polished that the edges are subsequently given a substantially equal thickness,
a smaller thickness, and again a substantially equal thickness as compared with the
central portion, and in the case of a plate having edges which are thinner than a
central portion surrounded by the edges, the main surfaces are so polished that the
edges are given consecutively a substantially equal thickness, a greater thickness,
and again a substantially equal thickness as compared with the central portion.
[0010] The method is suitable for manufacturing a plate having main surfaces which are both
plane, or for manufacturing a comparatively thin plate having main surfaces which
both have the same curvature, so that the said surfaces are parallel.
[0011] With comparatively thin plates (thickness up to approximately 2 mm), the elastic
deformability of the plate means that the planeness of a main surface is difficult
to define, but the parallelity of the main surfaces is unequivocally determined. If
a thin plate has one convex and one concave main surface, both having the same curvature,
a plate having perfectly plane main surfaces is thus obtained under elastic deformation
of the plate in that the curved plate is fastened on a comparatively thick support
block having a plane surface.
[0012] According to the method according to the invention, a curved main surface is so polished
that it is given consecutively a radius of curvature which is smaller than desired,
which is as desired, and which is greater than desired, and the bulk-reduction cycle
is stopped the moment the main surface has the desired radius of curvature. The more
often the bulk-reduction cycle is repeated, the smaller the deviation from the ideal
curvature over the total dimension of the main surface will be.
[0013] In both methods according to the invention, material is removed alternately from
the edges of the plate and from the central portion of the plate so as to obtain main
surfaces having a convex, plane, or concave shape.
[0014] The embodiments of the methods according to the invention relate to various methods
of polishing the main surfaces by which a desired reduction can be realised.
[0015] An embodiment of the methods according to the invention is characterized in that
the shape of the polishing surface is changed during the bulk-reduction cycle so as
to obtain a greater or smaller bulk reduction at the edges than in the central portion
of the main surface. The shape of the polishing surface may be varied between convex,
plane, and concave, or between shapes having a radius of curvature smaller than, equal
to, and greater than the desired radius, depending on whether the desired final shape
of the plate is plane or curved.
[0016] Another embodiment of the methods according to the invention is characterized in
that the relative speed of the polishing surface relative to the main surface of the
plate is so changed during the bulk-reduction cycle that a greater or smaller reduction
is obtained at the edges of the main surface than in the central portion.
[0017] Experiments have shown that the shape of the main surface can be changed through
the change in relative speed.
[0018] A further embodiment of the methods according to the invention is characterized in
that the force with which the polishing surface is pressed against the plate during
the bulk-reduction cycle is varied, whereby a greater reduction at the edges than
in the central portion is obtained at a comparatively low force and a smaller reduction
at the edges than in the central portion is obtained at a comparatively high force.
[0019] Experiments have shown that the plate surface can be converted from convex to concave
by raising the compression force during polishing, and from concave to convex by lowering
the compression force. The explanation of this effect is probably the following. When
the compression force is small, a comparatively strong renewal of the polishing liquid
takes place especially at the edges of the plate. The reduction at the edges as a
result is greater than in the central portion. The plate surface then becomes convex.
When the compression force is subsequently raised, the greatest reduction will take
place in the central portion because the pressure on the plate surface is highest
there. The plate then becomes concave.
[0020] The invention also has for its object to provide a device which is fitted with at
least one polishing surface, which is suitable for carrying out the methods, and by
which the disadvantage of the known device is avoided. This object is achieved in
the device according to the invention in that the shape of the polishing surface is
deformable.
[0021] The plate surface will be given a concave, plane or convex shape during polishing
in that the polishing surface is provided with a shape of varying radial curvature.
[0022] An embodiment of a device suitable for carrying out the methods according to the
invention is characterized in that the device is provided with a carrier which comprises
the polishing surface and which is hinged to a holder, while a pressure can be applied
between the carrier and the holder by which the carrier is deformed. The shape of
the polishing surface can be changed by varying the pressure between the carrier and
the holder by means of a liquid or a gas.
[0023] The invention is explained in more detail with reference to the drawing in which
Fig. 1 diagrammatically shows a present-art device, Fig. 1a being a cross-section
and Fig. 1b a plan view,
Fig. 2 is a diagrammatic cross-section of a device according to the invention,
Fig. 3 diagrammatically shows an alternative embodiment of a device according to the
invention, Fig. 3a being a cross-section and Fig. 3b a plan view,
Fig. 4 diagrammatically shows a first plate during a number of phases in the bulk-reduction
cycle of the method according to the invention,
Fig. 5 shows the measured deviations from a plane surface during a number of phases
in the bulk-reduction cycle of the method according to the invention,
Fig. 6 diagrammatically shows a second plate during a number of phases of the bulk-reduction
cycle of the method according to the invention.
[0024] Corresponding components are given the same reference numerals in the various Figures.
[0025] Fig. 1 shows a present-art device 1 known from US-A-4940507. The known device 1 is
suitable for double-sided polishing of plates 3 by means of polishing surfaces 5,
7 fastened on holders 9, 11. The device 1 is provided with a pin 15 which can rotate
about a central shaft 13 and to which a disc 17 is fastened. The disc 17 is provided
with circumferential teeth 19 which are in engagement with teeth 21 of annular elements
23, called rotors. The teeth of the rotors 23 are also in engagement with teeth 25
of a ring 27 which can rotate about the central shaft 13. The ring 27 and the disc
17 can rotate independently of one another by means of separate drive mechanisms (not
shown), so that each rotor 23 performs a rotation about the shaft 29 of the rotor
23 and/or a rotation about the central shaft 13, depending on the circumferential
speeds V1, V2 and the directions of rotation of the disc 17 and the ring 27. Each
rotor 23 is provided with at least one opening 31 in which a plate 3 to be polished
is deposited.
[0026] The operation of the device will be briefly explained. The holder 9 with the polishing
surface 5 is removed, so that the plates 3 to be polished can be laid in the openings
31 of the rotors 23. The diameter of the plates 3 is smaller than the diameter of
the openings 31, the thickness of the plates 3 to be polished is greater than the
thickness of the rotors 23. Then the holder 3 is laid with the polishing surface 5
on the plates 3. A polishing agent is supplied to the main surfaces 35, 37 of the
plates 3 through openings 33 in the holders 9, 11, after which the disc 17 and the
ring 27 are rotated by the drive mechanisms and the rotors 23 are displaced. The plates
3 present in the rotors are taken along by the rims of the openings 31 in the rotors
23 and are displaced relative to the polishing surfaces which have a fixed position.
The relative displacement between the stationary polishing surfaces 5, 7 and the main
surfaces of the plates 3 creates friction between these surfaces. The friction between
the main surfaces 35, 37 of the plates 3 and the polishing surfaces 5, 7 also causes
the plates 3 to carry out a displacement relative to the rotors 23, so that the total
movement performed by the plate 3 depends on the movement of the rotor 23 and on the
friction. Material is removed from the plates 3 tribochemically owing to the friction
and the chemical action of the polishing agent present between the surfaces.
[0027] Fig. 2 is a diagrammatic cross-section of a device 41 according to the invention
which is provided, as is the device 1, with a rotatable disc 17 and a rotatable ring
27, by means of which rotors 23 and the plates 3 present therein can be rotated. The
device 41 is provided with holders 9', 11'. The holder 9' and the holder 11' are identical
and their construction and operation will be explained with reference to the holder
9'. The holder 9' is provided with a frame 43 and an annular carrier 45 fastened thereto,
on which carrier a polishing cloth 47 with the polishing surface 5 is glued. The carrier
45 is provided with two support rings 49, 51 by which the carrier 45 is fastened to
the frame 43. The carrier 45 is further provided with an annular carrier plate 53
which is connected to the frame 43
via two annular elastic hinges 55, 57. The carrier plate 53 is provided with an auxiliary
ring 49 which is connected to the carrier plate
via an annular elastic hinge 61. A chamber 63 and a chamber 65 interconnected by a channel
67 are present between the carrier plate 53 and the frame 43. The chamber 63 is in
connection with a pressure governor 71, which is known
per se, through a channel 69. The carrier plate 53 is deformed in that an oil or gas pressure
is applied to the chamber 63 and through the channel 67 to the chamber 65 by means
of the pressure governor 71. The carrier plate 53 can bend over its full width as
a result of the annular elastic hinges 55, 57. The auxiliary ring 59 is displaced
during this in a direction away from the frame 43. To measure this displacement, the
device 41 is provided with a measuring probe 73 which is fastened in an opening in
the auxiliary ring 59. The displacement of the measuring probe 73 can be determined
by means of a micrometer (not shown).
[0028] The carrier plate 53 is deformed in a direction towards the frame 43 in that an underpressure
is applied to the chambers 63, 65 by means of the pressure governor 71.
[0029] Fig. 3 diagrammatically shows an alternative embodiment of a holder 9'' according
to the invention, Fig. 3a being a cross-section and Fig. 3b a plan view of the holder
9''. To limit the number of Figures, all cross-sections indicated in Fig. 3b are shown
in Fig. 3a.
[0030] The cross-section A-A shows a pressure governor 71 which corresponds to the pressure
governor shown in Fig. 2 and the measuring probe 73. A curvature of the carrier plate
53 towards the frame 43 and away from the frame 43 can be obtained by means of the
pressure governor 71, whereby the measuring probe 73 is displaced over, for example,
10 µm for a width of the annular carrier plate 53 in radial direction of, for example,
105 mm.
[0031] The cross-section B-B shows a feed device 81 for polishing agent, provided with an
opening 83 and a channel 85 issuing therein and running through the polishing surface
5, so that polishing agent can be brought between the plate 3 and the polishing surface.
[0032] The cross-sections C-C and D-D show bolts 87 and 89 with which the support rings
49, 51 are connected to the frame 43.
[0033] The cross-section E-E shows a vent hole.
[0034] The method according to the invention will now be briefly explained with reference
to Figs. 4, 5 and 6.
[0035] Fig. 4 diagrammatically shows the principle of the method according to the invention.
Before the start of the precision operation, the plate 3 is provided with a curvature
having a radius of curvature R by machining methods known
per se, as used in glass and silicon technology. The exact value of R is of minor importance,
as long as the initial shape of the plate 3 is convex or concave. The deviation from
an exact plane shape before the precision operation is approximately 5 µm over a diameter
of 10 cm. Starting from the situation shown in Fig. 4a, where the initial surface
of the plate 3 is concave, the plate surface 35 is subsequently polished in such a
way that it is given an ever increasing radius of curvature (with R < R1 < R2) until
the radius of curvature is infinite, after which the plate surface 35 is so polished
that the surface 35 becomes convex, the radius of curvature being reduced (R3 > R4
> R5). The moment an absolute deviation from an exact plane shape of approximately
0,1 µm is measured, the polishing process is reversed and the plate surface 35 is
so polished that it assumes shapes consecutively as shown in Fig. 4g, 4f, 4e, 4d,
4c, 4b, 4a, 4b, 4c, 4d. Each time the plate surface has reached the shape diagrammatically
shown in Fig. 4d, a greater surface area of the plate approximates the perfectly plane
shape.
[0036] A quartz glass plate having a diameter of 10 cm and a thickness of 3 mm was polished
in this manner, the plate surface having a deviation of 5 µm from a geometrically
defined plane surface before polishing, and a deviation of 0,02 µm after polishing.
The plate surface was polished from convex to concave and
vice versa three times during this. The transition from a convex to a concave shape took approximately
50 minutes. Polishing was stopped regularly in order to inspect the achieved curvature
of the main surface. Polishing from a convex to a concave form was switched to polishing
from a concave to a convex form the moment the main surface had a deviation of 0,1
µm relative to a perfectly plane shape.
[0037] Polishing of a plate surface from convex to concave and
vice versa may be realised in a number of ways.
[0038] A first method is to vary the compression force with which the polishing surfaces
5, 7 are pressed against the main surfaces 35, 37. The compression force may be varied
in that annular weights are deposited on the holder 9 (Fig. 1) depending on the desired
compression force, or in that the holder 9 is pressed against the holder 11 with an
adjustable hydraulic force.
[0039] Experiments have shown that the plate surface can be changed from convex to concave
in that the compression force during polishing is increased, and from concave to convex
in that the compression force is reduced. The explanation of this effect is probably
the following . When the compression force is small, a comparatively strong renewal
of the tribochemical polishing liquid takes place especially at the edges of the plate.
The reduction at the edges is greater than in the central portion owing to the chemical
action. The plate surface then becomes convex. When the compression force is increased
again, the greatest reduction will take place on the central portion because the pressure
on the plate surface is highest there. Owing to the increased pressure, mechanical
polishing prevails, and this probably takes place most strongly in the centre. The
plate then becomes concave.
[0040] This method was applied with a single-sided polishing machine in which a silicon
slice was fastened on a fixedly arranged support block and a polishing surface was
moved over the silicon slice. The convex-concave transition and
vice versa was completed several times until a planeness was obtained with a deviation of less
than 0,05 µm over a slice surface of 9,5 cm diameter.
[0041] A second method of polishing a plate surface from convex to concave and
vice versa on a double-sided polishing machine is to vary the rotation speeds of the disc 17
and the ring 27 (Fig. 1). Experiments have shown that an increase in the rotation
speed V1 of the disc 17 at a constant rotation speed V2 of the ring 27 renders the
plate surface concave, whereas a reduction in the rotation speed V1 renders the plate
surface convex.
[0042] Such experiments were carried out on quartz slices having a diameter of 10 cm and
a thickness of 3 mm, which had an absolute deviation of approximately 0,5 µm from
parallelity relative to two perfectly parallel plates, the centre being thicker than
the edges at the start of the polishing treatment. The deviation from parallelity
was reduced to 0,1 µm over a surface having a diameter of 9 cm by the method described
above. The rotation speed V2 was kept constant and the rotation speed V1 was varied,
the highest speed V1 being three times the lowest speed V1.
[0043] A third method of polishing a plate surface from convex to concave and
vice versa is to vary a shape of the polishing surface 5, 7 (Figs. 2 and 3). The carrier plate
53 and the polishing surface 5 are deformed through the application of a liquid or
gas pressure to the chambers 63 and 65 by means of the pressure governor 71. The polishing
surface 7 is deformed in an identical manner. The shape of the polishing surface 5,
7 is thus changed according to a toroid,
i.e. each cross-section in radial direction of the annular polishing surface is convex
or concave.
[0044] Fig. 5 shows test results of polishing of a silicon slice of 3 mm thickness and 10
cm diameter. The pressure on the plate surface was 7,5 g/cm². The shape of the polishing
surface was adapted every two hours. The position on the slice is plotted on the x-axis
and the absolute deviation from a plane surface in µm on the y-axis. Fig. 5a shows
the initial position. Figs. 5b, 5c, 5d and 5e show consecutive test results, the sagging
of the polishing surface measured by the measuring probe 73 being 3, 5, 7 and 9 µm,
respectively.
[0045] Fig. 6 diagrammatically shows the various shapes which a comparatively thin plate
3 assumes during various phases in the bulk-reduction cycle, the initial shape of
the plate 3 being curved. It is difficult to ascertain whether the surface of such
a plate 3 is plane because the plate is elastically deformable. It is more important
for a comparatively thin plate that the main surfaces 35, 37 are parallel. The plate
will then have plane main surfaces the moment the plate is fastened on a comparatively
thick carrier with a plane main surface seamlessly and without glue by means of wringing,
van der Waals bonding or direct bonding. In Figs. 6a to 6g, the radius of curvature
R of the main surface 35 of the plate 3 is reduced. In Fig. 6d, the radius of curvature
of the main surface 35 is equal to that of the main surface 37, and the plate 3 depicted
in this Figure will also have plane main surfaces when fastened on a plane surface
under elastic deformation of the plate 3.
[0046] The plates in the examples were always circular, but the plates may alternatively
have different shapes such as, for example, square. To render rotation of square plates
in the rotors possible, an auxiliary rotor may be used which is laid in the opening
of the rotor and which is provided with a circular outer rim and a square inner rim
for accommodating the plate.
[0047] It is possible to combine the various methods of polishing a plate surface from convex
to concave and
vice versa in order to obtain, for example, a more convex or concave shape than is possible
when only one method is used. The speed variation in the rotation speeds V1 and V2
is limited by the maximum admissible rotation speeds of the device, so that also the
achievable curvature of the plates is limited. By combining speed variation with compression
force variation, the achievable curvature of the main surface can be increased.
1. A method of manufacturing a plate having a plane main surface through polishing of
the main surface of the plate, characterized in that first the main surface of the
plate is prepared through polishing until the main surface has a convex or concave
initial shape, and in that subsequently at least once a bulk-reduction cycle is performed
during which, if the initial shape is concave, the main surface is so polished that
the main surface is given consecutively a substantially plane shape, a convex shape,
and again a substantially plane shape, and, in the case of a convex initial shape,
the main surface is so polished that the main surface is given consecutively a substantially
plane shape, a concave shape, and again a substantially plane shape.
2. A method of manufacturing a plate having parallel main surfaces through simultaneous
polishing of the two main surfaces, characterized in that first the main surfaces
of a plate are prepared through polishing until these main surfaces have a convex,
plane, or concave initial shape, and in that subsequently at least once a bulk-reduction
cycle is performed during which, in the case of a plate having edges which are thicker
than a central portion surrounded by the edges, the main surfaces are so polished
that the edges are subsequently given a substantially equal thickness, a smaller thickness,
and again a substantially equal thickness as compared with the central portion, and
in the case of a plate having edges which are thinner than a central portion surrounded
by the edges, the main surfaces are so polished that the edges are given consecutively
a substantially equal thickness, a greater thickness, and again a substantially equal
thickness as compared with the central portion.
3. A method as claimed in Claim 1 or 2, in which polishing is carried out by means of
a polishing surface, characterized in that the shape of the polishing surface is changed
during the bulk-reduction cycle so as to optain a greater or smaller bulk reduction
at the edges than in the central portion of the main surface.
4. A method as claimed in Claim 1, 2 or 3, in which polishing is carried out by means
of a polishing surface, characterized in that the relative speed of the polishing
surface relative to the main surface of the plate is so changed during the bulk-reduction
cycle that a greater or smaller reduction is obtained at the edges of the main surface
than in the central portion.
5. A method as claimed in Claim 1, 2, 3 or 4, in which polishing is carried out by means
of a polishing surface, characterized in that the force with which the polishing surface
is pressed against the plate during the bulk-reduction cycle is varied, whereby a
greater reduction at the edges than in the central portion is obtained at a comparatively
low force and a smaller reduction at the edges than in the central portion is obtained
at a comparatively high force.
6. A device suitable for carrying out the method as claimed in Claim 1, 2 or 3, which
device is provided with at least one polishing surface, characterized in that the
shape of the polishing surface is deformable.
7. A device as claimed in Claim 6, characterized in that the device is provided with
a carrier which comprises the polishing surface and which is hinged to a holder, while
a pressure can be applied between the carrier and the holder by which the carrier
is deformed.
8. A device as claimed in Claim 7, characterized in that the carrier is connected to
the annular holder by means of two annular elastic hinges.