In the application of optical devices, such as reflective optical devices, it may be difficult to selectively reflect imaging light.
The present disclosure provides an apparatus, a method of manufacturing, and a method of using an optical device. The optical device can be utilized in a wide variety of applications, such as in adaptive optics, and may include a continuously variable deformable membrane including a distributed capacitive array. The optical system may employ optics to direct light to an adaptive optical device and/or to collect light from an adaptive optic device. For ease of illustration, the disclosure will discuss one embodiment, namely, a microfabricated reflective device.
The device of the present disclosure can be positioned in any orientation and so the terms “up,” “down,” “top,” “bottom,” “above,” “below,” and the like, are used for illustrative purposes only with respect to figures shown herein.
Base 14 may be rigid and may be manufactured of any suitable material such as a semiconductor material, or the like. Base 14 may be spaced from membrane 12 by a distance 22 of approximately twenty microns in the example embodiment shown, so as to form a cavity 24 between base 14 and membrane 12. Base 14 and membrane 12 may be secured around their perimeter 26 by an adhesive 28 (shown in a single corner region of device 10 for ease of illustration), such as an adhesive tape, or the like. A spacer 30 may be utilized to space membrane 12 from base 14 in perimeter region 26.
Cavity 24 may be filled with a dielectric material 32 such as nitrogen gas or the like, or may be a high dielectric gel. Dielectric material 32 may be positioned within cavity 24 before or after sealing of base 14 and membrane 12 together in perimeter region 26. In one embodiment, membrane 12 and base 14 are sealed on three sides in perimeter region 26. Cavity 24 is then filled with dielectric material 32 and the fourth side is then sealed in perimeter region 26 with adhesive 28.
Membrane 12 may include one or more capacitive electrode elements 34. In one embodiment, membrane 12 may include a plurality of capacitive electrode elements 34 that define an electrode array 36. In one example embodiment, membrane 12 may include several thousand electrode elements 34 (a few are shown in this figure for ease of illustration) which may each have a thickness of approximately a few microns (as measured parallel to thickness 16 of membrane 12). In the example embodiment shown, each of electrode elements 34 of array 36 is arranged in a regular pattern defining evenly spaced rows 38 and columns 40.
Referring to
Each of the electrical connections or leads 42 may be connected to a current source 44 and a controller 46. The controller 46 may address each of the individual capacitive electrode elements 34 with a serial data stream that may demultiplex the array. However, any control method may be utilized to activate each of electrode elements 34.
Each of electrode elements 34 may be formed on flexible membrane 12 by microfabrication techniques. In one example method of manufacture, flexible membrane 12 may be manufactured as a continuous, flexible membrane by deposition techniques. Thereafter, membrane 12 may be etched in selective regions, using a mask (not shown), to define a pattern of depressions 48 (see
In the embodiment shown, electrode elements 34 may be positioned on a bottom side 60 of membrane 12. In such an embodiment, a reflective material 62, such as aluminum with a coating of aluminum oxide thereon, may be positioned on a topside 64 of membrane 12. Reflective material 62 may be deposited by microfabrication techniques, such as deposition techniques, to form a thin, continuously variable deformable reflective surface 66 of membrane 12.
Referring again to
In one embodiment, flexible membrane 12 and base 14 may define thousands of electrode pairs, which may be referred to as actuators, that may define a quasi-continuous optical wavefront profile. Because the optical surface is continuous, the throughput efficiency of the disclosed device may not depend on the number of actuators. In contrast, the throughput efficiency for a non-continuous optical surface, which may include dead space between elements, may depend on the number of elements utilized.
Base 14 may be formed as a rigid base by any applicable technique. Thereafter, a conductive material 50, such as aluminum, silver, gold or the like, may then be selectively deposited with the use of a mask (not shown) directly on a top surface 80 of base 14 so as to form conductive regions 68, wherein each conductive region may define an electrode element 68 of array 70. Thereafter, electrical connections 76 may be manufactured as wires individually connected to each of electrode elements 68.
As will be described now in more detail, application of a capacitive driving force to each of the quadrant pairs 34a-68a, 34b-68b, 34c-68c and 34d-68d, of pixel 84 will result in movement of flexible membrane 12 in the region of pixel 84, with respect to base 14, such that reflective surface 66 of membrane 12 in the region of pixel 84 will be moved to a desired position so as to reflect light in a desired manner. The desired position of pixel 84 may be a z-axis movement of reflective surface 66 with respect to base 14 or may be a tilted movement of reflective surface 66 with respect to base 14. Accordingly, activation of quadrants of the electrode pair 34-68 of a pixel 84 provides a continuously deformable reflective optical element that is capable of near instantaneous adjustment of the focus, optical axis and focal length of optical device 10. More particularly, each electrode pair 34-68 of array 36 may be sensed and driven capacitively to form a wide variety of reflective optical sub-surfaces or pixel regions 84 within reflective surface 66.
Each of electrode pairs 34-68 functions as a physical displacement drive element as well as a distance measurement transducer. The displacement of each capacitor electrode pair 34-68 is based upon electrostatic attraction and repulsion forces, which is dependent upon the polarity of the voltages applied to each electrode of electrode pair 34-68. To sense a position, i.e., a spacing, of the electrodes 34 and 68 of the pair, a known current/frequency is applied to each electrode 34 and 68. Because the dielectric qualities of dielectric material 32 within cavity 24 is known, and the surface area of the electrode regions 34 and 68 are known, the capacitance can be measured. The capacitance value of the electrode pair 34-68 is inversely proportional to the distance 22 between electrodes 34 and 68, also known as the transducers displacement position. Accordingly, the distance 22 between electrodes 34 and 68 can be calculated from the capacitance value. Once the position of electrodes 34-68 with respect to one another is calculated, an appropriately sized slewing voltage may be applied to electrodes 34-68 to move electrodes 34 and 68 into a desired position, i.e., to bring the transducer position into alignment with an intended value. Several example positions of pixel 84 will now be described.
In one example embodiment wherein a 10 volt voltage is applied, the dielectric is in a vacuum, the plates are 20 microns along a length of each side (for a square plate), and the distance is 30 microns between the plates, then the resulting force of attraction, assuming oppositely charged plates, is 393 picoNewtons. In this example embodiment, if such a single electrode pair is one of an array of 1000 by 1000 electrode pairs, then the overall force utilized to move each of the electrode pairs of the array would be 393 microNewtons.
The optical device 10 as described herein includes the following advantages. The device 10 may be manufactured wholly or partially by microfabrication techniques such as monolithic integrated circuit fabrication techniques or, where large formats may be desired, by silk-screening methods. Such fabrication methods may improve the quality and throughput of the fabrication process and may lower fabrication costs. Even when produced by other methods, the cost of materials for fabricating device 10 may be lower than prior art methods utilizing piezo-electric transducers or magnetically activated electrode pairs.
Due to the ability of reflective surface 66 of device 10 to be moved in a z-axis movement and in a tilting movement, less micro-manipulating steering elements, i.e., less electrode elements 34 and 68, may be utilized to create the desired position of continuously variable reflective surface 66, when compared to prior art devices having a similar resolution. Due to the use of less electrode elements for a similar resolution, the cost of optical device 10 may be less than prior art devices.
The device as described may also provide the ability to compensate for non-uniform shaped projected images. For example, a projector may project an image to a screen positioned non-perpendicular to the projection axis such that the image displayed on the screen may be non-rectangular when optical devices of the prior art may be utilized. However, the continuous flexible membrane optical device as disclosed may allow for compensation of the distorted image by tilting individual pixel regions of the device such that distortions in the final, viewed image are corrected.
Principles of operation of the optical device will now be described. Coulomb's Law for point charges describes the force between two charged particles as F=q1q2Rx/(4Πer3), where e=8.85×10−12 c2/Nm2 for a vacuum, and wherein q1 and q2 are the charges on particle 1 and particle 2, respectively, and Rx is the distance vector between the particles, which points from one particle to the other. Here q1 and q2 are the magnitudes of the charges, Rx is a vector which points from one conductive element to its corresponding conductive element, and r is the distance between the conductive elements.
The force between the conductive elements may be attractive when the charges have an opposite electrical sign and may be repulsive when the charges have a like electrical sign. Because Rx points from one charge to the other, when the product of the charges is positive, the force one charge exerts on the other is directed away from the one charge and so the other charge is repulsed. When the product of the charges is negative, the force one charge exerts on the other is directed toward the first charge and they are attracted. Accordingly, even in this fundamental example, it is shown that charges may either attract or repulse one another through their inherent electrostatic force field.
The above law may be rewritten in its scaler form as F=q1q2/(4Πεor2) with the understanding that the force is attractive or repulsive depending on the principles discussed above.
This force relationship can be extended to charged plates, separated by a dielectric material. Assuming a uniform charge distribution in a fermi sea where surface charge density is a function of the overall charge Q and the area of the plates, as follows: =Q/a, so the electric field between the plates is: E=/2εo=Q/2Aεo, assuming a vacuum with a dielectric constant εo, for infinite plates. The potential difference V may be expressed as: V=E/d=dQ/Aεo. For oppositely charged plates, the attractive force between the plates is equal to the electric field produced by one plate multiplied by the charge on the other plate: F=QQ/2Aεo=εoAv2/2d2. Accounting for the finite dimension of a real set of plates gives: F=(εoAv2/2d2)(1+2d/D), where D is the diameter of each plate pair and d is the distance between the plates. Specifying an arbitrary dielectric constant ε gives: F=(εAv2/2d2)(1+2d/D). In this equation F is the force in Newtons, A is the area of the deflection electrodes, V is the voltage, D is the diameter of the electrode, and d is the distance between the plates. This is the force of a single actuator, i.e., the force of a single pair of electrode plates. The total force on the membrane is a sum of all individual forces and gives: Pressure=total force/total area.
The adaptive optical capacitive deflection membrane array may include an electrode on the substrate which is electrically isolated from the electrode on the flexible membrane, which may be referred to as an isolated reflective membrane embodiment. In another embodiment, the electrode on the substrate may be electrically connected to the electrode on the flexible membrane, which may be referred to as an integral or common electrode embodiment. In both embodiments, electrode pair fringing fields are enhanced while adjacent electrode fringing fields are reduced to prevent cross-talk.
The individual elements of the common electrode embodiment may be driven individually using the common electrode. The individual elements of the isolated reflective membrane embodiment may be driven differentially. Each embodiment has its own advantages. In the embodiment of the individually driven array, common electrode embodiment, the array may be manufactured with a density which may be greater than a differentially driven array. In other words, more elements may be included within the array of the common electrode embodiment, when compared to the differentially driven embodiment utilizing the same footprint, due to a reduced number of electrical connections being utilized between individual elements. In the embodiment of the differentially driven array, there is a potential for a four fold increase in deflection distance when compared to the common electrode embodiment because the deflection distance is directly related to the deflection force applied. In the differentially driven array embodiment, each electrode may be driven individually, i.e., each electrode of a pair may experience an applied voltage, compared to a single driven electrode in the common electrode embodiment. Force is related to the square of the voltage applied such that a doubling of the voltage applied results in a quadrupling of the force available for deflection.
In another embodiment the adaptive optical array elements may be configured as an x-y matrix such that a standard 44 pin package may be capable of 22 by 22 elements for a total of 484 elements using conventional passive techniques. The density of such embodiments may further be enhanced by using active semiconductor multiplexing techniques such as serially encoded parallel control methods. A drawback to such as method may be that the active components place a further constraint on the breakdown voltage, accordingly to their ratings. However, such a disadvantage may be reduced by limiting the maximum element deflection force in favor of having a higher density of force elements.
The device may also compensate for irregularities and/or non-uniformity of a glass lens system of a projection system, or may correct for eye curvature and irregularities during laser eye surgery.
The device may also provide the ability to compensate for variations in the atmosphere when the device is utilized in astronomy applications.
Other variations and modifications of the concepts described herein may be utilized and fall within the scope of the claims below.