Contained herein is material that is subject to copyright protection. The copyright owner has no objection to the facsimile reproduction of the patent disclosure by any person as it appears in the Patent and Trademark Office patent files or records, but otherwise reserves all rights to the copyright whatsoever. Copyright © 2010, Light Blue Optics Inc.
1. Field
Embodiments of the present invention generally relate to spatial light modulators, in particular for phase modulation of light for diffractive/holographic imaging systems, and to related fabrication methods.
2. Description of the Related Art
We have previously described various holographic image projection systems (see, for example, WO2007/141567), and more recently a holographic projector in which, broadly speaking, a holographically generated image is used for illumination of a second spatial light modulator (see, for example, WO2010/007404 and U.S. Ser. No. 12/182,095, hereby incorporated by reference in their entirety for all purposes). In this latter approach relatively low resolution phase modulation is employed to render lower spatial frequencies of an image holographically, the higher frequency components being rendered with an intensity modulating imaging panel placed in a plane conjugate to the hologram SLM. In such a system the hologram is preferably a fast, multiphase or quasi analogue-phase device, more particularly a pixellated MEMS (micro electromechanical system)-based piston actuated device.
There are special requirements for an SLM for such a system which are not met by existing SLM devices. In broad terms these are as follows:
The pixels should be small because this increases diffraction angles from the SLM—for example preferably a pixel should be less than 30 μm by 20 μm. It is also important to achieve a high fill factor since unlike a conventional imaging system in a diffractive system efficiency falls very rapidly as the inter-pixel gap increases, very roughly proportional to the linear pixel gap raised to the fourth power. Accurate and repeatable control of the pixels is also important, and this imposes tight constraints on motion control—for example for five bit resolution at approximately 400 nm the phase steps are approximately 13 nm apart. High reflectivity, for example greater than 95%, low operating voltage, and small physical size are also highly desirable.
There are many different designs for MEMS mirror technologies and, broadly speaking, these fall into two groups, those with tilting mirrors and those with piston-type mirror actuation. Examples of tilting mirror technology can be found in patents held by Miradia Inc., for example US2101/112492, US2004/0145822 and US2007/128771. However in this specification we are concerned with piston-type SLM mirror arrays. Examples of piston-type arrays for adapted optics have been developed by Iris AO (Berkeley, Calif.) and Boston Micro Machines Corp.—see, for example, U.S. Pat. No. 7,741,685, U.S. Pat. No. 138,745 and U.S. Pat. No. 7,129,455 (as well as www.bostonmicromachines.com). However these are different classes of device to those required for the aforementioned diffractive/holographic applications, having large pixels (several hundred μm) with large displacements (greater than one μm), and operating at high voltages. These devices are not suitable for scaling down to meet the needs of a diffractive/holographic imaging system.
Another approach, developed by Alcatel for high speed maskless lithography, uses pixel mirrors suspended by long springs which extend under multiple pixels (see D. Lopez, et al., “Two-dimensional MEMS array for maskless lithography and wavefront modulation”, Proceedings of the SPIE Smart Sensors, Actuators, and MEMS III, vol. 6589, 2007). A further approach is that of Fraunhofer IPMS (Institut Photonische Mikrosystems), who have developed a square pixels device (see, for example, A. Gehner, M. Wildenhain, and H. Lakner, “Micromirror arrays for wavefront correction”, Proceedings of SPIE Conference on MOEMS and Miniaturized Systems, vol. 4178, 348, 2000; A. Gehner, W. Doleschal, A. Elgner, R. Kauert, D. Kunze, M. Wildenhain, “Active-matrix addressed micromirror array for wavefront correction in adaptive optics”, Proceedings of SPIE Conference on MOEMS and Miniaturized Systems II, vol. 4561, 265, 2001; J. Schmidt, J. Knobbe, A. Gehner, and H. Lakner, “CMOS integrable micro mirrors with highly improved driftstability”, Proceedings of the SPIE MEMS Adaptive Optics, vol. 6467, 6467R, 2007). However the Fraunhofer devices have a low fill factor, a poor quality reflecting surface, and cannot easily be scaled down to the desired pixel size mentioned above.
Further background prior art can be found in US2008/0220552; US2010/0181631; US2007/0097485; US2006/0082862; U.S. Pat. No. 7,298,539; U.S. Pat. No. 7,245,416; U.S. Pat. No. 7,141,870; U.S. Pat. No. 7,022,245; U.S. Pat. No. 7,068,417; U.S. Pat. No. 6,992,810; and U.S. Pat. No. 7,042,619.
There is therefore a need for improved MEMS spatial light modulator designs, in particular for use in diffractive/holographic imaging applications.
According to a first aspect of the present invention there is therefore provided a phase modulating spatial light modulator (SLM), the spatial light modulator comprising: a substrate bearing a plurality of SLM pixels, each of said SLM pixels comprising a EMS micro electromechnical system) optical phase modulating structure; wherein said EMS optical phase modulating structure comprises: a pixel electrode; a spring support structure around a perimeter of said pixel electrode; a mirror spring supported by said spring support structure, wherein said mirror spring comprises a mirror support and a plurality of mirror spring arms each extending between said mirror support and said spring support structure; and a mirror mounted on said mirror support; and wherein a voltage applied to said pixel electrode flexes said mirror spring and causes said mirror to translate perpendicularly to said substrate substantially without tilting.
Embodiments of such a device provide compatibility with monolithic CMOS driving circuitry, a simple fabrication process with a high yield and high reliability at low cost, a low driving voltage and low power dissipation, and a high fill ratio and high optical reflectivity. In some preferred embodiments each mirror spring arm has a spiral or serpentine shape. Preferably the mirror spring is electrically conductive and acts as the second electrode to the pixel electrode on the substrate. Preferably the mirror is mounted on the mirror support part of the mirror spring attached, for example, by a post or ‘stitch’ fabricated in a similar manner to a via. This enables the mirror surface to be separately arranged to provide high reflectivity, for example by providing the mirror with a multi-layer reflective coating.
Where the mirror spring is electrically conductive, preferably a ratio of a distance between the mirror spring arms to a distance between the mirror spring and the pixel electrode is at least 1:2. In some preferred embodiments the mirror spring is substantially planar. Surprisingly, although the mirror spring effectively comprises a perforated structure rather than a continuous plate, provided the pixel electrode is sufficiently far from the mirror spring, because of fringing fields the spring behaves like a substantially continuous electrode surface. In embodiments the in-plane linear distance between spring arms is less than ⅓ or ⅕ of the distance between the mirror spring and the pixel electrode. For example a spring arm width may be around 200 mm, a spring arm spacing around 200 mm, and a distance to the pixel electrode greater than 1000 nm, for example around 1500 nm. In this way the affected area of the mirror spring is greater than the physical area, because of the effects of the fringing electric fields around the spring arm edges.
In some preferred embodiments each mirror spring arm has a generally spiral shape; in embodiments the mirror support has the shape of an (irregular) hexagon around which the arms spiral. A spiral (hexagonal) spring is better than a rectangular spring because for a given fill area greater compliance can be achieved. One may think of such a spiral spring as having more corners, and therefore bending more for the same applied voltage. In some preferred embodiments each spring arm has a length of least 0.5 turns preferably at least 0.8 or 1.0, the number of turns may be between 0.75 and 2. In preferred embodiments, even where the shape of a pixel or mirror support is hexagonal a preferred number of spring arms is 2 or 4. In some preferred embodiments the spring support structure comprises one or more side walls around the perimeter of the pixel electrode and the inner spring is substantially planar and supported by this structure. Preferably each of the mirror spring arms is anchored to the mirror support structure at intervals around the perimeter of the pixel electrode, in embodiments spiraling inwards from there towards the mirror support. Alternatively, however, a folded or serpentine spring arm arrangement may be employed leading from an anchor at the periphery of the pixel towards the central mirror support.
In some preferred embodiments the mirror support and mirror are integrally formed from a single layer of material, preferably comprising (polycrystalline) SiGe. This has good mechanical spring properties and a further advantage which is compatible with CMOS temperature limitations.
Optionally the width of a mirror spring arm may vary over the length of the spring arm, to change the compliance of a spring arm in a radial direction from a peripheral spring support structure towards the centre of the pixel. Thus, for example, a spring arm width may reduce in a direction from the spring support structure towards the mirror support, or vice-versa, in either case providing or compensating for a non-linear response of the spring, more particularly the translational movement of the mirror support, with applied voltage on the pixel electrode.
In preferred embodiments the MEMS phase modulating structure is integrated with a CMOS backplane. Embodiments of the above described structure enable this to be achieved despite CMOS being limited to relatively low subsequent processing temperatures (typically not greater than 425° C.). In some preferred embodiments an optical phase modulating piston-type mirror is mounted over CMOS pixel drive circuitry for the structure. This facilitates accurate low voltage operation in particular with a variable, analogue drive. Alternatively, however, the CMOS driver circuitry may be located to one side of the MEMS pixels, although this is generally less preferable because a relatively large number of relatively long wires is needed to connect the CMOS circuitry to the pixel electrodes, which can result in a loss of speed/efficiency.
In some preferred embodiments a pixel electrode drive voltage may be less than 20 volts, for example in the range 0-12 volts. In preferred embodiments the CMOS process is a multiple metal layer CMOS process.
Separating the mirror and the spring facilitates separate optimisation of the electrical pixel response and optical qualities of the structure and is thus helpful. In some preferred embodiments the mirror comprises an aluminium mirror. Preferably the mirror comprises a stack or sequence of layers comprising aluminium and one or more other metals, for example TiW, optionally including one or more intermediate layers of amorphous silicon. Fabricating a mirror using such a stack helps to reduce stress and potential bowing of the mirror surface.
In diffractive optical applications it is often preferable to separate incident and diffractive light by angle, that is by illuminating the SLM at an angle to a normal to the substrate of greater than 0°, so that on average light is diffracted away at substantially the same angle to the normal. For example, the SLM may be illuminated at 45° so that it also reflects the diffracted light at 45°. It can be advantageous to have a square first diffraction order and therefore, in embodiments, the pixel pitch (distance between the centres of adjacent pixels) is preferably longer in one direction in the plane of the substrate (say the x-direction) than in a perpendicular direction in the plane of a substrate (say the y-direction), by a tilt factor greater than unity. For example for illumination at 45° the tilt factor is √{square root over (2)}.
In a related aspect the invention provides a phase modulating spatial light modulator (SLM), the spatial light modulator comprising: a substrate bearing a plurality of SLM pixels, each of said SLM pixels comprising a MEMS (micro electromechnical system) optical phase modulating structure over CMOS pixel drive circuitry for the structure; wherein said MEMS optical phase modulating structure comprises: a pixel electrode coupled to said pixel drive circuitry for a pixel; a mirror spring moveable in a direction perpendicular to said substrate by an electric field applied by said pixel electrode; and a mirror mounted on said mirror-spring; and wherein a voltage is applied by said CMOS pixel drive circuitry to said pixel electrode flexes said mirror spring to translate said mirror perpendicularly to said substrate substantially without tilting.
In some preferred embodiments the mirror spring is electrically connected to a ground connection and the pixel electrode is connected to the CMOS pixel drive circuitry. In embodiments the drive circuitry is configured to apply a variable analogue drive voltage to the pixel electrode, to translate the mirror perpendicularly to the substrate to a variable analogue position.
In embodiments the mirror spring may be electrically connected to a metal layer of the CMOS pixel drive circuitry by one or more vias through the spring support structure or side-walls of the pixel.
According to a related aspect of the invention there is provided a method of fabricating an optical phase modulating MEMS spatial light modulator, the method comprising: providing a substrate; depositing a sacrificial spring support structure on said substrate; providing a layer of spring material over said sacrificial spring support structure; patterning said layer of spring material to define a mirror spring supported by said spring support structure, wherein said mirror spring comprises a mirror support and a plurality of mirror spring arms each extending between said mirror support and said spring support structure, wherein each said mirror spring arm has a spiral or serpentine shape; forming a mirror mounted on said mirror support; and removing said sacrificial spring support structure.
One of the difficulties in fabricating a piston-type optical phase modulating MEMS device as previously described is fabrication of the mirror spring without this collapsing. This is especially difficult where the device is fabricated on a CMOS substrate, since deposition of single crystal or amorphous silicon is a high temperature process incompatible with CMOS. Embodiments of the above described method substantially facilitate fabrication of the mirror spring.
In some embodiments the sacrificial spring support structure comprises one or more walls or pillars, which may afterwards be removed by an undercut etch. In another potentially preferable, approach however the sacrificial spring support structure comprises amorphous carbon, which has the advantage that the sacrificial spring support structure can be a substantially solid and continuous support structure under the mirror spring until a final spring release stage.
In a still further approach the sacrificial spring support structure may comprise (silicon) oxide, which may afterwards be removed using a (vapour) hydrofluoric acid etch. Surprisingly it has been found that it is possible to perform such an etch even after fabrication of the (aluminium) mirror since, for reasons that are not fully understood, the hydrofluoric acid etch does not appear to significantly etch the mirror surface. This provides the advantage that the mirror can be fabricated over the spring support structure prior to releasing the structure, whereas if the structure had to be released first, fabrication of the mirror afterwards would be likely to cause collapse of the spring.
In a related aspect the invention provides a method of fabricating a MEMS device, the method comprising: providing a CMOS substrate; depositing at least one layer of amorphous carbon as a sacrificial layer; providing at least one layer of said MEMS device over said amorphous carbon layer; removing said sacrificial layer of amorphous carbon to fabricate said MEMS device.
In some preferred embodiments the method further comprises depositing a barrier layer in between the amorphous carbon and the MEMS device layer. Where the MEMS device layer comprises SiGe the barrier layer may comprise amorphous silicon, or less preferably, potentially aluminium. Use of such a barrier layer inhibits a deleterious interfacial reaction between the MEMS device layer and the amorphous carbon. Such a barrier layer may, however, not be needed if the MEMS device layer comprises a metal or metal alloy.
In embodiments of the method the layer of amorphous carbon may be patterned prior to providing the MEMS device layer over the amorphous carbon layer, for example, to define a via or trench down to an underlying layer. This can facilitate later deposition of material to fasten the MEMS layer to an underlying layer. Additionally or alternatively the amorphous carbon may be planarised and/or polished prior to providing the overlying MEMS layer.
The overlying MEMS layer may be provided by depositing a layer of material, for example, a layer of spring material such as a metal, metal alloy or SiGe. However in other embodiments of the method the MEMS layer is provided over the amorphous carbon layer by wafer bonding a silicon layer more particularly a silicon-on-insulator wafer over the amorphous carbon, with the silicon layer facing the layer of amorphous carbon. The back of the silicon-on-insulator wafer comprising a layer of oxide may then be removed to leave a silicon layer over the layer of amorphous carbon.
The amorphous carbon itself may either be deposited directly or a layer of photoresist (PR) may be converted to a layer of amorphous carbon. The skilled person will appreciate that amorphous carbon (aC) is neither graphite-like nor diamond-like, that is it does not consist purely of sp2 or purely of sp3 hybridised bonds, but instead comprises a mixture of sp2 and sp3 bonds.
Embodiments of the method may comprise depositing a second layer of amorphous carbon over the MEMS device layer, as a second sacrificial layer. In embodiments of the method the first MEMS layer may comprise a mechanical spring layer and may be used to fabricate a generally planar spring by defining arms of the spring whilst the layer is supported by the amorphous carbon. In an optical MEMS device the second sacrificial layer may be used to support a mirror layer for fabricating a mirror over the mechanical spring layer, vertically spaced away form the spring layer and attached to the spring, for example by a ‘stitch’ or via. After fabrication of such a device both the sacrificial layers of amorphous carbon may be removed, for example by ‘burning’ this off using an oxygen plasma etch or ashing process. The device may then be packaged, for example in the case of an optical device by hermetically sealing a window over the device onto the substrate by means of an adhesive.
In preferred embodiments the MEMS device is fabricated over a CMOS substrate carrying driver circuitry for the MEMS device, and the method includes exposing part of a top metal layer of the CMOS substrate prior to depositing the at least one layer of amorphous carbon. This exposed metal (which, optionally, may also be patterned) will become a or a set of drive electrodes for the device, for example a pixel drive electrode for a piston-type optical phase modulating MEMS device.
These and other aspects of the invention will now be further described, by way of example only, with reference to the accompanying figures, in which:
a and 4b show, respectively, an example MEMS pixel with a three-layer mirror structure with a serpentine flexure (omitting the top optical surface), and a set of curves for the structure showing deflection versus voltage and tolerance (voltage, thickness and width);
a to 5c show, respectively, a model of a MEMS pixel mirror as a damped harmonic oscillator where k is the flexure stiffness, m is the total mirror mass, b is the damping, and f is an applied force, for determining a mirror settling time. An illustration of squeeze film damping which occurs as air is pushed laterally during vertical deflection of the electrostatic gap; and an illustration of Poiseuille flow, which originates from viscous resistance of airflow through small cross-sections;
a to 7c show, respectively, an example of a two-beam flexure design with a 14 μm pixel pitch and a 1.6 μm capacitor gap; a corresponding voltage versus deflection characteristic; and an example cross-sectional view of a deflected mirror;
a and 8b show, respectively, an example of a rectangularly shaped MEMS pixel with a rectangularly shaped flexure with two SCS (single crystal silicon) beams; and deflection-voltage curves comparing rectangular and hexagonal shaped two-beam designs;
a and 9b show, respectively, a cross-sectional view of an example of a MEMS pixel with a stepped lower pixel electrode; and deflection versus voltage curves for the stepped electrode design with a range of capacitor gaps, illustrating that the stepped electrode increases deflection for a given applied voltage;
a and 10b show, respectively, a top view of a rectangular flexure including portion bars towards the centre of the flexure (mirror mount), and a corresponding deflection-voltage characteristic;
a to 16g show stages in a first embodiment of a fabrication process for the MEMS SLM of
a to 17h show stages in a second embodiment of a fabrication process for the MEMS SLM of
a to 18j show stages in a third embodiment of a fabrication process of the MEMS SLM of
a to 19j show stages in a fourth embodiment of a fabrication process of the MEMS SLM of
a to 20k show stages in a fifth embodiment of a fabrication process of the MEMS SLM of
Some of the desirable requirements for an optical phase modulating MEMS spatial light modulator (SLM) are described below. The features described below are not essential but are desirable in an SLM for diffractive image display applications, in particular the holographic projector which we describe later. Thus, for example, in a conventional imaging system light loss is proportional to the square of the deadspace between pixels whereas in a diffractive imaging system this loss is approximately proportional to the fourth power of the dimension of the deadspace between pixels. Likewise the shape of the first diffraction order is dependent, in part, on the spatial Fourier transform of the pixel shape (although the pixel shape in the diffracted image is dependent on the Fourier transform of the outline of the pixel array). Further, since in general a MEMS SLM with piston-type mirror actuation will not rotate polarisation, instead the SLM may be mounted at an angle, for example 45°, to separate incident and diffracted light. Still further it is desirable for the SLM to produce a diffracted image which is large, which makes small pixels desirable—although it can also be useful if the drive electronics for a pixel fit underneath the pixel (though this is not essential).
Noting these desirable features, tilting the SLM at 45° increases the diffraction angle in the horizontal direction by √{square root over (2)}, but leaves the vertical diffraction angle changed. To compensate for this, preferably the period of the pixel grid in the horizontal direction is scaled by the same √{square root over (2)} factor. Further, it is preferable that the pixels are rectangularly spaced in the sense that the pixels have a regular spacing in the x- and y-directions in a lateral plane of the device. Different pixel shapes lead to different relative proportions of light diffracted into the desired first order (where the image is formed) as against higher diffraction orders (where any light is not usable and is therefore wasted). If the deadspace between pixels is small, this optical diffraction efficiency is optimised by near-diamond-shaped irregular hexagons, whereas if the pixel deadspace (that is the space between pixels is large), the perimeter/deadspace loss dominates and a pixel shape which is closer to a regular hexagon is desired to minimise the pixel perimeter (a regular hexagon has the lowest perimeter to area ratio of any tessellating shape).
As previously mentioned, small pixels are desirable for a number of reasons including that for a given resolution, lens clear apertures are reduced, making the system f/# lower, reducing aberrations and improving system tolerances; and because diffraction angles from the SLM are increased, decreasing lens powers required to achieve desired field magnifications in the optical system. In embodiments an electrostatically-actuated pixel of maximum lateral dimensions 10 μm×10 √{square root over (2)} μm is desirable. Further details may be found in our patent application GB1019745.7 filed 22 Nov. 2010, which is hereby incorporated by reference in its entirety for all purposes.
A phase ramp or step in Fourier space corresponds to a position shift in image space and incorporating a phase ramp/step, preferably with a gradient chosen to shift the y-direction by a quarter of the field height, into the SLM pixel has the effect of shifting the diffraction pattern attenuation envelope (for examples a sinc envelope) away from a zero order spot and towards a centre of the displayed image. This decreases the attenuation caused by the diffraction attention envelope in the Y-direction and thus improves diffraction efficiency. Thus preferably a MEMS pixel mirror incorporates an out-of-plane relief structure (topography), for example a step such that one half of the pixel is raised above the other by a few 10 s of nm. In embodiments a binary phase step of approximately 30 nm is desirable. Our UK patent GB2454246 (U.S. Ser. No. 12/740,000) hereby incorporated by reference in its entirety for all purposes provides further details.
In preferred embodiments pixel mirror flatness is moderately well controlled, to reduce scatter, loss of contrast and the like. Using a mirror with an aluminium surface can provide a reflectivity of greater than 85% across the visible spectrum (430 nm to 660 nm); higher reflectivity can be achieved using a silver film, but suitable fabrication facilities are less common. As previously mentioned, it is important that the inter-pixel gap is reduced as far as practicable, to maintain diffraction efficiency.
In embodiments five bits of data are employed per pixel in order to provide 32 equally spaced phase steps of approximately 13 nm between 0 and approximately 406 nm. Assuming the stroke error has a Gaussian distribution, it is preferable that the standard deviation of stroke error is less than around +/−10 nm. In other arrangements the maximum stroke may be less, for example around 340 nm.
In a diffractive imaging system such as a holographic projector a proportion of defective pixels may be tolerated, for example up to 100 defective pixels. In one embodiment the MEMS SLM may have a resolution of 144×144 or 160×160 active pixels. To reduce scattering and ease optical design it is preferable to provide an ‘apron’ around the active addressable area of the SLM, for example an 80 pixel wide static apron or ribbon extending around the perimeter of the active portion of the SLM area. In embodiments the apron has a phase pattern, for example a pattern of two pixel heights a reference or base line height and a half-wavelength retardation height (for example 188 nm at a wavelength of 532 nm, in reflection mode at 45° illumination). The SLM may be provided with a black frame to inhibit extraneous light, and may optionally be mounted on a printed circuit board, for example FR4. In some preferred embodiments the SLM has a maximum height of less than 5 mm.
Downward deflection of the mirror is actuated by the electrostatic force across the capacitor gap, and the restoring force is provided by the elastic energy stored in the beam. The following analysis is developed for the illustrative example of the four-beam piston mirror 100 shown in
If the mirror undergoes a vertical mirror deflection z, the total mechanical restoring force from bending of the four rectangular mirror beams is given by (this analysis does not yet include beam torsion):
where E is beam modulus of elasticity (72 and 160 GPa for Al and (single crystal) Si, respectively), and t, w, and L are the beam thickness, width, and length, respectively. The effective beam stiffness—k—is the ratio of force to deflection and has units N/m.
The electrostatic force is calculated as the negative gradient of the stored electrical energy:
where A is the area of the capacitor and c is the permittivity of free space. At a given operating point these forces are equal and the voltage as a function of deflection becomes:
Since the mechanical restoring force is linear with deflection and the electrostatic force is inversely proportional to the gap, beyond a certain value of deflection (denoted zp) there is no longer a stable operating point and the actuator undergoes a “pull-in” phenomenon where the top plate spontaneously and fully deflects downward. At zp the derivative of deflection with respect to voltage is infinite:
This indicates that with voltage control, depending on the configuration, only a maximum of ⅓ of a given gap may be usable for analog deflection. In reality, to account for process imperfections, control voltage tolerance, and overshoot of the mirror step response, and to provide a safety margin, a gap of at least three or four times the desired deflection is preferred.
Using Equation (3), an 8 nm mirror deflection tolerance translates into process and voltage tolerances. We define a function f(h, dz, z) where h is the gap height, dz is the deflection accuracy, and z is the deflection:
f (h, 8 nm, 405.8 nm) is plotted in
In one approach the mirror flexures may be composed of serpentine beams with a number of concentric turns. In this case, the torque T at corners or angles between sections of straight beams also contributes to the mechanical deflection.
where θ is the angle of twist and L is the beam length. The torsional rigidity GJ is given by:
The compliance of a given flexure is then calculated from the sum of flexural and torsional contributions.
Referring now to
Referring now to
In
To determine the settling time the mirror may be modelled as a damped harmonic oscillator (
where k is the stiffness, m is the total mass, and b is the damping. Taking the inverse Laplace transform and assuming the mirror is under damped, the time domain response of the mirror deflection exhibits the form of an exponentially decaying sinusoid:
From equation (10), the settling time depends only on the mass and damping, and, assuming an error of 1% as settling, is calculated as:
The damping originates primarily from air flow around mirror surfaces and is composed of two elements—squeeze film damping and Poiseuille flow (see S. D. Senturia, “Microsystem Design”, Springer, 2004). In embodiments downward movement of the mirror causes air to flow up through the mirror spring and out through the gaps between the mirrors. As shown in
where η is the viscosity of air, Ls is the longer dimension of the electrostatic gap plate, Ws is the shorter dimension of the electrostatic gap plate, and h is the gap height.
Poiseuille flow originates from the viscous resistance of air flow through small cross-sections. Following
where LP is the length of the flow channel, hp is the smaller cross-sectional dimension of the channel, wp is the larger dimension of the channel, AP is the area, and v is the flow velocity. The damping is then ˜R*AP2.
Considering Equation (12), the damping can place constraints on the total mirror mass.
The analytical approaches described above are helpful for understanding the operation of the pixel structure, but for more accurate results finite element analysis is preferred, in particular for a structure in which the mirror spring also forms the top electrode of a pixel, because of the complex electric fields produced by flexure of this structure. Although a 3-layer structure is expected to exhibit greater compliance, in part because the area of the top (flexure) electrode is larger, being a solid plate, and in part because the force is applied where the compliance is greatest, surprisingly finite element analysis shows that a 2-layer structure in which the mirror spring itself acts as the top (flexure) electrode provides good results, in part because the fringing fields around the spring arms increase the effective area of the electrode. Modelling of the electric field within a 2-layer type structure indicates that due to fringing fields the capacitance of the structure is about 25% higher than a parallel plate with an area equal to the bottom area of the beams (arms).
Whilst aluminium has advantages in increasing compliance because it is less stiff than single crystal silicon, aluminium alloys are susceptible to fatigue and creep and the inventors believe that overall the use of silicon or a material comprising silicon such as SiGe is preferable (the skilled person will appreciate that the use of SiGe, a silicon-germanium alloy, does not imply any particular molar ratio of silicon and germanium).
To achieve high compliance so that a pixel may be driven with a relatively low voltage, for example, less than 12 volts, a small spacing between beam arms is desirable, for example less than 500 nm and in embodiments around 200 nm. It is also desirable to avoid undesired parasitic resonant modes of oscillation of the mirror/mirror spring. Such modes may include a piston-type oscillation, tilt, in-plane translation, and in in-plane rotation. It is preferable to avoid such modes in the audio frequency range, and within a typical spectrum of ambient acoustic vibrations, typically low kilohertz frequencies. Finite element analysis can be used to predict such modes, but accurate modelling is difficult and thus it is also preferable to investigate the presence of parasitic resonances with experimentally fabricated test structures.
As previously mentioned, a small pixel pitch is desirable, but this in turn tends to make the mirror spring arms (beams) shorter which reduces compliance. Thus for a drive voltage of less than 12 volts the pixel spacing may be around 14 μm, although this may be reduced if higher drive voltages are available.
Referring now to
To increase compliance of the mirror spring (flexure) the number of beams can be reduced from 4 to 2 (because of a lack of 3-fold symmetry within an irregular hexagon or rectangular unit cell it is difficult to design a 3-beam flexure with high mechanical compliance).
In embodiments the lower pixel electrode may be stepped or ramped so that the distance between the electrode and the mirror spring is greater in the centre of the pixel than towards the perimeter of the pixel. This can be used to increase the total deflection by providing the centre of the mirror, where the spring deflects most, with greater clearance, as illustrated in
The transient response of a pixel has been found to be dominated by Poiseuille flow between the mirror spring arms, laterally between the mirror spring and the overlaying mirror, and vertically through the deadspace between mirrors. With the aforementioned structures the (1%) settling time is less than 20 μs.
Broadly speaking preferred embodiments of the mirror employ aluminium, although higher reflectivity can be achieved using silver. A mirror deadspace between pixels may be of order 500 nm, noting that in embodiments of the fabrication process sacrificial polymer is removed through the mirror inter-pixel deadspace. Optionally the mirror surface may include a 30 nm step. In embodiments the fabrication process may leave a dimple in the centre of each pixel approximately 1 μm wide and up to 1 μm deep. It is desirable to reduce mirror cupping which can result from residual stress in one or more of the layers from which the mirror is constructed. The apron around the SLM pixel array may be produced by a 190 nm aluminium film deposited in a tessellated irregular-hexagon pattern matching that of the pixel mirrors.
The SLM may be packaged using a hermetic glass sealing process with nitrogen and argon ambient gas at a pressure around 1 atm. An anti-reflection coated glass lid may be employed.
Thus, continuing to refer to
A MEMS pixel 1210 also comprises a spring support structure 1214, as illustrated an oxide wall, around the perimeter of the bottom pixel electrode 1212. The spring support structure 1214 supports a mirror spring 1216 comprising a mirror support 1218 and a plurality of mirror spring arms 1217 each extending between mirror support 1218 and the spring support structure 1214. In the preferred embodiment illustrated each mirror spring arm has a spiral shape. The mirror spring 1216 is electrically conductive and acts as a second, top electrode of the MEMS pixel structure. In operation a voltage applied between the bottom 1212 and top 1216 pixel electrodes generates an electrostatic force which results in translation (piston-type motion) of the mirror support 1218.
The pixel further comprises a mirror 1220 mounted on the mirror support 1218 and attached to this support by a ‘stitch’ or via (which leaves a dimple artefact 1222 in the centre of the mirror). In embodiments the mirror spring 1216 may optionally be attached to the substrate or spring support structure by another ‘stitch’ or via (not shown in
When fabricating the structure of
Silicon (Si) germanium (Ge) alloys, in particular compositions having a high germanium content, for example greater than 65%, can have low deposition temperatures (down to 370° C.) and excellent mechanical properties that include low stress and low creep. High electrical conductivity can also be obtained with SiGe alloys, either with n-type or p-doping.
The preferred microstructure for mechanically reliable SiGe films is polycrystalline microstructure or a mixture of amorphous and crystalline phases.
A preferred deposition method for deposition of SiGe films is chemical vapour deposition (CVD) from silane and germane. An alternative deposition method for these films is plasma enhanced chemical vapour deposition (PECVD). This can be performed at even lower deposition temperatures than CVD although the mechanical properties are not as favourable as for CVD films.
Electrostatic actuators using SiGe alloys as the functional material are compatible with fabrication of the CMOS substrate first, and also are able to provide the other desirable properties for display applications mentioned above.
In one approach polycrystalline SiGe is deposited at, for example, 385° C. or less over a silicon seed layer (provided from a disilane deposited film). Optionally annealing such as laser annealing may be employed to reduce grain size and RMS roughness. Another less preferable option is to use polycrystalline germanium, which can self-anneal, but this material is less stable over time and also prone to attack by moisture. A further possibility is to employ an amorphous silicon mirror spring optionally again with a laser or low temperature annealing process.
In embodiments of the SLM one or more of the pixels may be replaced by a photodiode, to facilitate in-plane sensing of a spatial intensity profile of a light beam illuminating the SLM. This is feasible in a diffractive imaging system because in such a system a small number (up to around 1%) of inactive SLM pixels does not produce visible defects in the reproduced image. Such a photodiode may be fabricated on the CMOS substrate and provided with an opening over the photodiode to permit the ingress of incident light. Such photodiodes may be spatially distributed throughout the array: if a Gaussian intensity profile is assumed for an illuminating beam then, in principle, only 6 parameters need be determined to characterise the beam profile. For further information reference may be made to our earlier patent application GB1019749.9 filed 22 Nov. 2010, which is hereby incorporated by reference in its entirety for all purposes.
The architecture of
In
The different colours are time-multiplexed and the sizes of the replayed images are scaled to match one another, for example by padding a target image for display with zeros (the field size of the displayed image depends upon the pixel size of the SLM not on the number of pixels in the hologram).
A system controller and hologram data processor 202, implemented in software and/or dedicated hardware, inputs image data and provides low spatial frequency hologram data 204 to SLM1 and higher spatial frequency intensity modulation data 206 to SLM2. The controller also provides laser light intensity control data 208 to each of the three lasers. For details of an example hologram calculation procedure reference may be made to WO2010/007404 (hereby incorporated by reference in its entirety for all purposes).
As previously mentioned, relatively low voltage operation is desirable (this also facilitates incorporating the CMOS pixel drive circuitry underneath a pixel since the size of the ‘high voltage’ transistors employed is reduced). As previously mentioned, to achieve this it is desirable that the mirror spring be compliant rather than stiff, but a difficulty with this is that the etched springs tend to fall into the pixel cavity. We will now describe some fabrication processes which address this difficulty.
Some preferred embodiments of the fabrication processors employ amorphous carbon as a sacrificial material, but this is not essential and we will also describe some alternative processors which employ supporting sacrificial walls which may be formed during the process for forming a cavity over which the spring is supported. We will also describe two different categories of process for forming the mirror spring layer, one in which the spring material, for example SiGe, is deposited, another in which a silicon-on-insulator wafer is wafer bonded ‘upside down’ onto the cavity walls (spring support structure), that is with the upper silicon layer of the Sol wafer towards the CMOS substrate, and then in embodiments afterwards thinned to remove the back of the SoI wafer to leave what was formerly the top (single crystal) silicon layer to be patterned to form the mirror spring.
In some embodiments of the fabrication process amorphous carbon films deposited by PECVD are used as a sacrificial material for the fabrication of micro-electro-mechanical systems (MEMS).
Amorphous Carbon film properties provide the following characteristics: a range of intrinsic stress values from very tensile to very compressive. A bi-layer “building block” film which allows depositions of arbitrary thickness with low total stress (typical target thickness from 0 to 2 μm). Wet solvent resistance to facilitate the employment of traditional CMOS cleans. Easy removal of films by plasma ashing or other dry chemical processes. Potential to modulate the hardness of the Amorphous Carbon to facilitate chemical mechanical polishing. Potential to execute a low temperature fusion bond of Silicon on Insulator (SoI) to the polished Amorphous Carbon. These properties facilitate the fabrication of the MEMS designs in several ways.
When properly deposited, amorphous carbon is robust enough for thermal processes up to and beyond the maximum temperature tolerance of traditional CMOS devices (430° C.). This broadens the available choice of structural thin film materials with which to fabricate a device, including LPCVD (low pressure CVD) furnace based materials, PECVD based dielectric and semiconductor materials, and PVD (Physical Vapour Deposition) based metals, to name some examples.
The gap-fill behaviour of the a-C films, along with the ability to planarise the films through CMP (Chemical Mechanical Polishing) facilitates the production of flat surfaces. This in turn improves the planarity and surface roughness of the semiconductor/dielectric/metal films comprising the MEMS structures. If further improvement of the top surface of deposited films is desired, the robust mechanical nature of the underlying a-C sacrificial film facilitates chemical mechanical polishing of the deposited films without risk of damage to either the film itself or the previously fabricated structures which exist in the layers beneath it.
Additionally, the near-atomically smooth nature of the polished a-C surface allows for the possibility of employing SOI as a structural material layer for subsequent MEMS through fusion bonding.
After the various dry etching processes typically employed in device fabrication are completed (the high optical absorption of a-C facilitates lithography), the a-C material “locks” the patterned permanent structures in place. This characteristic, along with the wet chemical/solvent resistance of the a-C film allows for post-etch cleaning processes to be performed on the wafer without stiction or other damage occurring to the active MEMS structures.
Finally, the “ashability” of the a-C layers allows for the release of a near arbitrary arrangement of MEMS structures fabricated on multiple such sacrificial layers. Line/Space rules for these patterned structures that are considered to be quite aggressive by existing MEMS standards, such as 0.2 μm/0.2 μm are perfectly acceptable for release by commonly available CMOS dry ashing processes. Such dry processes provide substantially no risk of stiction or capillary force damage that can occur with other MEMS release methods.
Referring first to
A layer of amorphous carbon 1610 has been deposited over the substrate, for example by PECVD (plasma enhanced chemical vapour deposition). This may have a thickness of greater than 0.5 μm up to, for example 2 μm or 3 μm, more typically in the range 1-2 μm. This is to provide sufficient depth in the MEMS cell for the mirror spring to translate vertically without snapping onto the bottom pixel electrode. As previously described, this suggests a gap (layer thickness) of approximately 3 times the mirror (spring) stroke together with a safety margin. For example for a 500 nm stroke the gap (layer thickness) may be approximately 1.8 μm (3×500 nm+a 300 nm margin) so that the mirror spring does not attach to the bottom pixel electrode at the highest applied voltage, for example 12 volts. The layer of amorphous carbon 1610 serves as a first layer of sacrificial (SAC) material.
Referring now to
Then (
Next shown, as shown in
e shows patterning of the spring layer 1616, for example using DUV (deep ultra violet) 248 nm lithography to define a spiral spring. Then (
The thickness of the second sacrificial layer 1618 defines the height of the mirror and the length of the mechanical interconnect to the spring, and since in the final structure (
In one embodiment of the process the second sacrificial layer 1618 comprises i-line (265 nm photoresist, which is patterned to define trenches 1620 for the ‘stitch’ to the mirror, and UV cured. In embodiments of the process the mirror stack is deposited by physical vapour deposition and the mirror is chemically cleaned, so it is preferable to ensure that the sacrificial photoresist layer 1618 is robust, and thus it is preferable to subject this layer to a post-exposure bake, for example at 130-150° C., to identifuy this layer and increase its chemical resistance; it may also be subjected to additional UV curing to increase cross-linking within the polymer. In alternative embodiments of the process the sacrificial layer 1618 may comprise amorphous carbon, patterned and etched to form trenches 1620 as previously described for layer 1610.
Then (
Once the mirror stack has been deposited and patterned all the sacrificial material, that is layers 1610 and 1618, is removed, for example using an oxygen ashing process, and the structure is cleaned. The ashing process may employ oxygen in combination with water vapour and/or nitrogen, using a gentle cycle (no RF) of 60-90 seconds. This leaves the final structure shown in
One advantage of the above described process is that the MEMS structures are only released at the end of the process, and thus the structure is supported throughout the fabrication process. One potential drawback is stress/stress gradient in the deposited spring layer 1616 and we will now describe some alternative processes which employ a wafer bonding/thinning process to provide a single crystal silicon spring.
In embodiments of the processes we now describe (silicon) oxide may be employed as a sacrificial material instead of amorphous carbon or photoresist. Likewise oxide may be employed as a sacrificial material in the process described with reference to
Referring now to
Having formed the spring support structure and a set of internal sacrificial spring support structures,
As can be seen in
Referring next to
h and 17i, in which like elements to those previously described are indicated by like reference numerals, show vertical cross section and plan views respectively of a variant of the configuration of the sacrificial walls 1704, in which the walls define a set of parallel lines spaced apart across the width of a pixel cell.
Following this a silicon-on-insulator wafer is a wafer bonded to the upper surface of the structure of
A second sacrificial layer 1802, preferably of amorphous carbon is then deposited over the structure of
The mirror stack is then deposited as previously described (
Thus in
In this and in previous embodiments of the process the mirror spring acts as the upper electrode of the pixel structure and is thus electrically connected to an output portion of the pixel drive circuitry in the CMOS substrate. This may be achieved by a via in a supporting wall 1702 (not illustrated in
Following etching of the mirror spring, the structure is cleaned to remove post-etch residue on the amorphous carbon, for example using a wet post-etch clean. A further sacrificial layer 1908, for example of photoresist, is then deposited on the structure of
Referring now to
Sacrificial photoresist 2000 is then deposited to fill the region between the mirror spring and the CMOS substrate, also extending above the mirror spring to provide support for the mirror stack. This layer is then patterned to define trenches or stitches 2002 down to the mirror support part 1712a of the mirror spring (
The skilled person will appreciate that further variants on the above described fabrication process are possible.
To summarise, broadly speaking in one approach amorphous carbon is deposited onto the CMOS substrate and patterned to define trenches down to the substrate, after which SiGe (or a metal alloy) is deposited to form a mirror spring (having an electrical connection to the substrate). A second sacrificial layer is then deposited over the structure and patterned to define a passage down to the mirror support, the mirror stack is then deposited, and the entire structure is afterwards ashed to remove the sacrificial material. Oxide may be substituted for amorphous carbon (or photoresist) and etched with HF.
In another approach an SoI wafer is bonded to the top of a spring support structure to provide a single crystal silicon spring, but in this case it is strongly preferable to provide one or more sacrificial structures within the cavity between the spring and the CMOS substrate and/or to fill this cavity with a sacrificial material such as amorphous carbon, to support the mirror spring during its fabrication. Thus broadly speaking in this set of processes offside is deposited over the CMOS substrate and patterned to define at least walls to support the mirror spring, and optionally additional sacrificial walls to support the spring during its fabrication and/or the MEMS pixel cell cavity is filled with sacrificial material such as amorphous carbon. The SoI wafer is then bonded, silicon face towards the CMOS substrate, to the structure and thinned/etched to leave the silicon, in which the mirror spring is formed. Then a further sacrificial layer of material, for example photoresist or amorphous carbon, is deposited and used to support the fabrication of the mirror, and then the sacrificial support structures are removed by ashing and/or etching the sacrificial spring-supporting walls, posts or other structures. In such a process a (deposited) layer of SiGe may be substituted for the silicon layer derived from the SoI wafer. In embodiments of this set of methods a conductive via or stitch is also provided in between the electrically conductive mirror spring and the CMOS substrate, more particularly the pixel driver circuitry, so that the structure may be driven by a voltage applied between the bottom pixel electrode and the mirror spring.
In a further variant the CMOS substrate is provided with a sacrificial layer, for example of amorphous carbon, which is a layer of silicon and then a layer of oxide are then provided over the (amorphous carbon) sacrificial material, either by bonding an SoI wafer to the structure or by deposition this structure is then patterned to define connections down to the CMOS substrate, optionally using the silicon and/or oxide layers as masks; alternatively the sacrificial layer may be patterned prior to providing the silicon and/or oxide layers over this. Once connections down to the CMOS substrate have been defined, an electrically conducting material such as tungsten is deposited into the connection to provide an electrical and mechanical connection between CMOS substrate and the silicon layer, and the mirror spring is then formed in this silicon layer. The skilled person will appreciate in this and the previously described processes, the order of steps within the processes may be changed.
No doubt many other effective alternatives will occur to the skilled person. It will be understood that the invention is not limited to the described embodiments and encompasses modifications apparent to those skilled in the art lying within the spirit and scope of the claims appended hereto.