Abstract:
A MEMS system including a fixed electrode and a suspended moveable electrode that is controllable over a wide range of motion. In traditional systems where an fixed electrode is positioned under the moveable electrode, the range of motion is limited because the support structure supporting the moveable electrode becomes unstable when the moveable electrode moves too close to the fixed electrode. By repositioning the fixed electrode from being directly underneath the moving electrode, a much wider range of controllable motion is achievable. Wide ranges of controllable motion are particularly important in optical switching applications.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
   This is a divisional of U.S. application Ser. No. 10/136,683 filed Apr. 30, 2002 now U.S. Pat. No. 6,891,240 by the same inventors, and claims priority therefrom. This divisional application is being filed in response to a restriction requirement in that prior application and contains additional claims to the restricted subject matter. The contents of the original U.S. application Ser. No. 10/136,683 are hereby incorporated by reference in its entirety. 

   BACKGROUND 
   MicroElectroMechanical systems (MEMS) routinely use suspended micromechanical moveable electrode structures as electrostatically actuated mechanical members for both sensor and actuator based devices. Different methods exist for creating a support structure to suspend a moveable electrode structure. One method for suspending such a moveable electrode uses cantilevered members that are fixed to a substrate on one end and fixed to the movable electrode structure on the other end. In an alternate embodiment, the cantilever is made of, or coated with a conducting material and the cantilever itself serves as the moving electrode. The mechanical flexibility of the cantilever (e.g. bending) and/or motion at the fixed end(s) (e.g. hinge or flexible connection) allows for the motion of the suspended electrode. In some cases, the sensor or actuator device is based on motion of cantilever as such without an additional movable structure at the end of the cantilever. Such cantilevers are typically fixed-free or fixed-simply supported cantilevers. 
   A second method of suspending one or more moveable electrodes utilizes a plurality of cantilevers that support a moveable member which either serves as a moveable electrode or has mounted upon it moveable electrodes. A fixed electrode serves as an actuator to control movement of the moveable electrode structure through the application of an electric potential difference between the fixed electrode and the moveable electrode structure. The fixed electrode is typically positioned beneath the suspended moveable electrode to form a parallel plate capacitor like structure, with the fixed electrode acting as a first plate and the suspended moveable electrode acting as a second plate. The electric potential applied to the electrodes generates electrostatic forces that move or deform the support mechanism supporting the moveable electrode or the moveable electrode itself. Such support mechanisms may include bendable or otherwise deformable cantilevers. 
   Typical cantilever applications include micro sized relays, antennas, force sensors, pressure sensors, acceleration sensors and electrical probes. Recently, considerable attention has been focused on using cantilever arrays to develop low power, finely tunable micro-mirror arrays to redirect light in optical switching applications. Such a structure is described in U.S. Pat. No. 6,300,665 B1 entitled “Structure for an Optical Switch on a Silicon on Insulator Substrate” hereby incorporated by reference. 
   One problem with such cantilever structures is the limited amount of controllable motion that can be achieved with traditional arrangements of the cantilever and electrode. When a voltage difference is applied between two electrically conducting bodies separated by an insulating medium (for example air), the electrostatic force between the two bodies is inversely proportional to the square of the distance between the bodies. Thus when the moveable electrode is moved in closer proximity to the fixed electrode, as often occurs when a greater range of motion is attempted, strong electrostatic forces between the fixed electrode and the moveable electrode results in a “pull-in” or “snap-down” effect that causes the two electrodes to contact. The problem is particularly acute in D.C. (direct current) systems compared to A.C. (alternating current) systems. 
   In moving the electrodes, instability theoretically occurs in parallel plate capacitor structures when the movably suspended plate has traveled one third of the potential range of motion (typ. equal to the height of the air gap). In stressed metal systems, as described in the previously cited patent application, the cantilevers are typically ‘curled’—as opposed to more typical ‘straight’ cantilevers. However, such instability usually occurs when the actuation electrode is placed underneath the cantilever and the cantilever moves approximately beyond one-third of its potential range of motion. 
   Various solutions have been proposed to correct the potential for suspended electrodes and the corresponding supports structures to “snap-down”. These solutions include the following: using charge drives (see Seeger, et. al, “Dynamics and control of parallel-plate actuators beyond the electrostatic instability”, Proc. Transducers &#39;99, Sendai), adding capacitive elements in series (Seeger, et. al, “Stabilization of Electrostatically Actuated Mechanical Devices”, Proc. Transducers &#39;97, Chicago) or creating closed-loop feedback systems using capacitive, piezoresistive or optical detectors (Fujita “MEMS: Application to Optical Communication”, Proc. of SPIE, &#39;01, San Francisco). These methods extend the stable range of motion to varying degrees. However all these methods complicate fabrication of the cantilever and actuator mechanism thereby increasing fabrication costs and reducing reliability. Thus an improved method of moving a cantilever through a wide range of motion while avoiding instabilities is needed. 
   SUMMARY OF THE INVENTION 
   An improved system for controlling electrostatic deflection of a support mechanism associated with a moving electrode is described. In the system, a fixed electrode formed on a substrate uses electrostatic forces to control the motion of a moveable electrode coupled to a support structure. In order to avoid the strong electrostatic attractions that occur when the moveable electrode comes in close proximity to the fixed electrode on the substrate, the electrodes are offset such that a substantial portion of the fixed electrode is adjacent to, rather than directly in the path of the moveable electrode&#39;s range of motion. 

   
     BRIEF SUMMARY OF THE DRAWINGS 
       FIG. 1  shows a side view of a moveable electrode and a fixed electrode. 
       FIG. 2  shows a side and top view of a second support structure used to suspend a moveable electrode over a fixed electrode. 
       FIG. 3  is a flow chart showing one example method of forming a cantilever in a MEMS structure. 
       FIG. 4  shows a top view of a traditional placement of electrodes with respect to the cantilever. 
       FIG. 5  shows a top view of one possible placement of rectangular electrodes with respect to the cantilever. 
       FIG. 6  shows a top view of one possible placement of triangular electrodes with respect to the cantilever. 
       FIG. 7  shows a top view of a possible placement of a triangular or rectangular electrode with respect to a cantilever with a cutout area. 
       FIG. 8  is a graph showing a theoretical plot of cantilever height with respect to applied voltage for various electrode and cantilever structures. 
       FIG. 9  shows a cantilever used in a optical switching system. 
       FIG. 10  shows a plurality of cantilevers coupled to a mirror to redirect an optical beam across a two dimensional area. 
   

   DETAILED DESCRIPTION 
     FIGS. 1 and 2  show two examples of MEMS cantilevered actuator structures.  FIG. 1  shows a side view of a simple fixed end—free end cantilever-electrode structure. The example of the cantilever shown in  FIG. 1  is a flexible cantilever that flexes upward and may be formed using techniques for forming stressy metal structures as described in U.S. Pat. No. 5,613,861 entitled “Photolithographically Patterned Spring Contact” which is hereby incorporated by reference. In  FIG. 1 , a flexible cantilever  104  is affixed to a substrate  108  at a fixed point  112 . Typically, the cantilever is composed of or coated with an electrically conducting material to form a suspended moveable electrode  114  that facilitates the generation of electrostatic forces between moveable electrode  114  and a fixed electrode actuator. Examples of suitable materials for forming the cantilever include metal, silicon and polysilicon. In an alternate embodiment, the cantilever is a stressed metal to create the curve structure illustrated. Such stressy metal cantilevers may be formed from a refractory metal such as molybdenum, zirconium and/or tungsten (Mo, Zr, W). 
   Fixed electrode  116  deposited on substrate  108  controls movement of moveable electrode  114  and thereby cantilever  104 . Moving electrode  114  moves in an arc in a motion plane  110 , which in the illustrated example, is oriented perpendicular to the substrate surface (in the illustrated embodiment, the paper in which the drawing is drawn represents motion plane  110 ). When a voltage difference is applied between fixed electrode  116  and moving electrode  114 , cantilever  104  moves towards fixed electrode  116 . When moving electrode  114  is maximally displaced along a trajectory of motion in motion plane  110  such that moving electrode  114  is in the lateral plane of substrate  108 , the position of the moving electrode is shown by outline  120 . In  FIG. 1 , cantilever  104  flexes although in an alternate embodiment, a rigid cantilever may pivot around fixed point  112 . 
   Cantilever  104  may be made of a variety of materials such as metal, silicon, polysilicon or other electrically conductive materials to serve as a moveable electrode. Alternatively, the cantilever may be made of an insulating material such as polymers, ceramics and the like, and subsequently coated with a conductive material such as a metal film, the conductive material coating serving as the moveable electrode. Appropriate dimensions of the cantilever are a length  118  of less than 5000 micrometers (less than 500 typical) and a width of less than 1000 micrometers (less than 100 typical) although alternate embodiments may use larger cantilevers. 
   In order to maintain control over the moving electrode and its associated support structure through a large range of motion, the fixed electrode is positioned such that it is laterally adjacent to, rather than directly underneath the cantilever. For purposes of discussion, “laterally adjacent” is defined as a position adjacent to the trajectory of the moving electrode such that even when the moving electrode is maximally displaced such that the moving electrode, in this case the cantilever, is in the lateral plane of the substrate, the two electrodes are adjacent in the plane of the substrate. In most cases, even when the moving electrode moves in an arc, the arc radiuses are small such that the moving in a trajectory is practically equivalent to translating the suspended electrode along a line perpendicular to the surface of the substrate supporting the fixed electrode. Once the two electrodes are in the plane of the substrate, “laterally adjacent” does not require or imply that the moving electrode and the fixed electrode are in contact, merely that the electrodes are close, typically separated by less than approximately 50 micrometers (e.g. 5 μm) when the moving electrode is in the lateral plane of the substrate. It is contemplated however, that the system may still operate when the electrodes are not entirely laterally adjacent, thus when small amounts of overlap result, typically less than 10 percent of the electrode surface are, fringe electric fields are the dominant source of attraction between the moving electrode and the fixed electrode and stability may still be archived. 
   Even when the cantilever is not displaced from its resting position, the distance from the fixed electrode to the moving electrode should be kept relatively small, for example less than 10 micrometers to allow the effects of electrostatic attraction to control movement of the cantilever in a reasonable voltage range (typically less than 200 volts). When the entire surface area of the electrode is laterally adjacent to rather than underneath the cantilever; direct contact between the cantilever and the electrode when the cantilever is at a maximum displacement is avoided thereby making an insulating layer over the fixed electrode unnecessary. 
   A side view of an alternative mechanism for suspending a moving electrode is shown in  FIG. 2 . The structure of  FIG. 2  is a slight variation on what is typically called a Lucent mirror, Lucent mirrors have traditionally been used to redirect light in optical systems. In  FIG. 2 , a straight, torsionally flexible cantilever  204  is affixed to a substrate  208  at a fixed point  212  and affixed to a movably suspended member  216 . Together, the elements represent a support structure for a moving electrode. In one embodiment of the invention, member  216  is composed of or coated with an electrically conducting material and thus also serves as the moveable electrode. The conducting material aids the generation of electrostatic forces between the moveable electrode and a fixed electrode  220  that serves as an electrode actuator. Examples of suitable materials from which to form the moveably suspended member include metal, silicon and polysilicon. Fixed Electrode  220  on substrate  208  controls movement of member  216 . In the illustrated embodiment, member  216  rotates about an axis  224 . Axis  224  is oriented parallel with the substrate surface. When a voltage difference is applied between fixed electrode  220  and a moving electrode associated with member  216 , member  216  rotates towards the fixed electrode. In the illustrated embodiment, cantilever  204  flexes torsionally although in alternate embodiments the tortional flexing may be replaced by a rigid cantilever that pivots around fixed point  228 . 
   Flexing cantilever  204  may be made of a variety of flexible materials such as metal, silicon, polysilicon. Appropriate dimensions of the cantilever are a length  232  of less than 5000 micrometers (less than 500 typical) and a width of less than 1000 micrometers (less than 100 typical) although alternate embodiments may use larger cantilevers. In order to maintain control over movements through a large range of motion, the fixed electrode is positioned such that it is laterally adjacent to, rather than directly underneath the moving electrode, in the illustrated example, suspended member  216  is formed from a conducting material and serves as the moving electrode. Even when the suspended member is not displaced from its resting position, the distance to the fixed electrode should be kept relatively small, for example less than 10-100 micrometers to allow the effects of electrostatic attraction to control movement of the cantilever in a reasonable voltage range (typically less than 200 volts). When the entire surface area of the electrode is laterally adjacent to rather than underneath the suspended member; direct contact between the cantilever and the electrode when the cantilever is at a maximum displacement is avoided thereby making an insulating layer over either electrode unnecessary. 
   In yet another variation of the structure shown in  FIG. 2 , voltage differences may be simultaneously applied between suspended member  216  and multiple fixed electrodes such as fixed electrode  220 , thereby causing suspended member  105 ′ to translate downward, towards the plane of the fixed electrodes. By keeping the forces approximately equal across the suspended member, rotational motion may be avoided. In this translational case, instability occurs at one third of the potential travel range when fixed electrodes  220  are placed directly underneath suspended the moving electrode represented by suspended member  216 . Laterally offsetting the electrodes as shown in  FIG. 2  substantially extends the stable range of motion beyond one third of the potential range, approaching the full potential travel range. 
   A number of methods exist to fabricate cantilever and actuator MEMS structures.  FIG. 3  illustrates one method of fabricating the cantilever electrode structure using a three step semiconductor masking process. Although the process is described to enable one of ordinary skill in the art to fabricate a semiconductor cantilever, the invention should not be limited to the particular type of cantilever described nor the particular method used to fabricate the cantilever and electrode structures. 
   In operation  304  of  FIG. 3 , an electrode material is deposited on a substrate such as glass or quartz. The electrode material may be made from a number of conducting materials or metals such as chromium. After deposition, a pattern masking and wet etch is done in operation  308  to define the electrode and tracks or wires that couple the electrode to controlling circuitry. The controlling circuitry controls the charge and discharge of the electrode thereby controlling the motion of the cantilever. The thickness of the electrode may be tuned to obtain a sheet resistance suitable for resistive sensing. Chromium has a resistivity of about 130×109 Ohms/M, thus a thin film of 25 nm results in about 5 ohms/square. 
   In operation  312 , a release layer, such as an amorphous silicon release layer is deposited. Typically, the release layer thickness determines the spacing between the cantilever and the substrate surface. The release layer is often slightly thicker than the electrode layer. The release layer serves as a buffer layer to prevent the entire subsequent cantilever layer from adhering to the substrate. A cantilever layer, such as a Molybdenum chromium (MoCr) layer is deposited in a blanket coat over the release layer in operation  316 . A typical cantilever thickness is approximately 1 micrometer. When a stressed metal cantilever is desired, a stressed metal deposition is used to deposit the cantilever layer. 
   In operation  320 , a second mask layer is used to define the cantilever shape by etching away the excess MoCr. In operation  324 , the release layer is etched to release the cantilever leaving only one end of the cantilever affixed directly to the substrate. A typical method for etching a silicon release layer utilizes a dry etch of XeF2 as the etchant. When using other release layer materials, such as for example silicon oxide, a wet etch (e.g hydrofluoric acid) is typically used to remove the sacrificial layer. 
     FIGS. 4 ,  5 ,  6  and  7  are top views of the fixed electrode and a moving electrode cantilever structure that show alternate positions of the electrodes with respect to the cantilever.  FIG. 4  shows a top view of a traditional cantilever over electrode structure. At contact area  404 , the cantilever is fixed to an underlying substrate, either directly or through an intermediate layer. The flexing region  408  of the cantilever rests directly over an electrode underneath which controls movement of the cantilever. The close proximity and direct application of force by electrodes positioned underneath the cantilever minimizes the operational voltage needed to move the cantilever. However, the reduced power requirements come at the expense of great instability. Voltages greater than a critical voltage results in the cantilever “snapping” down towards the substrate. 
     FIG. 5  shows one embodiment of the invention that utilizes rectangular strip electrodes  504  oriented with a length that runs parallel to the length of cantilever  508 . Because electrodes  504  are not positioned directly underneath the cantilever, the laterally displaced rectangular strip electrodes depend on fringe electric fields to pull the cantilever downward. As the cantilever moves downward towards the substrate, the force vector of the electric field between the cantilever and the electrode increasingly points in a lateral direction (in the plane of the substrate) rather than in a downward direction towards the substrate. Thus, although the intensity or absolute value of the electric field increases as the cantilever moves toward the substrate, a greater percentage of the force is applied in a lateral direction reducing the rapid increase in electric field strength downward. A symmetrical arrangement of electrodes around the cantilever causes the lateral force components to cancel thereby minimizing displacement of the cantilever in a lateral direction. 
   To further increase the stable range of motion, triangular electrodes  604 ,  608  may be substituted for the rectangular electrodes as shown in  FIG. 6 . In this embodiment, the distance between the cantilever and the fixed electrodes increases along the length of the cantilever. The increasing distance between the cantilever and the fixed electrode further reduces the force for a given voltage along the length of the cantilever further increasing the stable range of motion. The embodiment of  FIG. 6  requires the highest voltages compared to the structures shown in  FIG. 5  and  FIG. 6  to achieve an equivalent displacement of the cantilever, although the actual voltage required depends on many factors including cantilever and electrode geometries, dimensions of the cantilever, material properties, etc. A typical voltage to achieve a large displacement of cantilever  612  may be approximately 150 volts. Because the triangular electrodes also provide a fairly constant balance between applied force on the cantilever and cantilever flexibility across the length of the cantilever, the configuration illustrated in  FIG. 6  provides the most stable configuration. 
   The triangular electrodes shown in  FIG. 6  results in a spacing between the cantilever and the edge of the electrode remaining fairly linear with respect to voltage applied to the electrodes. In general, stability of the system is increased when the moving and/or fixed electrode is shaped such that the distance between the closest point on the fixed electrode and the closest point on the moving electrode increases with distance from the point at which the support structure supporting the moving electrode is coupled to the substrate. Various ways of accomplishing the gradually increasing distance include forming triangular fixed electrodes, forming triangular moving electrodes, or angularly orienting rectangular fixed and moving electrodes such that the space between the edges of the electrodes form a triangle. Other embodiments of the invention may also use electrodes with other tapered geometries (e.g. curved as opposed to straight). These different configurations may be used to linearize or otherwise tailor the displacement versus voltage curve. 
     FIG. 7  shows an embodiment of the invention in which a tapered (or straight) fixed electrode  704  is formed underneath a cutout area  708  of cantilever  712 . This and other types of ‘cutout’ cantilevers with ‘internally adjacent’ electrodes are based on the same concept as other laterally offset actuation electrodes, but may offer additional advantages. For example, the embodiment shown in  FIG. 7  offers the advantages of adjacent electrodes while utilizing a minimum of area. 
     FIG. 8  is a graph that shows the vertical height of a cantilever tip in micro-meters as a function of a direct current (D.C.) voltage applied to the electrode for different electrode geometries and positions based on a simple numerical model. Each line  804 ,  808  and  812  can be divided into two regions: (1) an actuation region in which an air gap exists between the cantilever and the substrate resulting in a nonzero cantilever tip height and (2) a critical voltage at which the cantilever “snaps” down to the substrate eliminating the gap between cantilever and substrate. 
   Line  804  shows the cantilever tip position as a function of electrode voltage for a traditional positioning of an electrode under the cantilever. In the model, the cantilever can only be controlled at a height displacement above approximately 110 micrometers. At approximately 20 volts, snap-down occurs after which manipulation of the cantilever over small displacements cannot be well controlled. When the electrode is placed under the cantilever, typically, the entire cantilever snaps down. 
   Line  808  shows a modeling of the cantilever height as a function of voltage for two rectangular parallel electrodes positioned adjacent to the cantilever as shown in the top view of  FIG. 4 . From line  808 , it can be observed that the displacement of the cantilever can be well controlled for cantilever heights above 100 micro-meters. The cantilever snaps down at a critical voltage of approximately 55 volts. 
   Line  812  plots cantilever height as a function of voltage for two electrodes positioned laterally adjacent to the cantilever, the two electrodes shaped such that the electrode edges closest to the cantilever increases in distance from the cantilever edge as one moves along the length of the cantilever. Such a structure may be achieved by using triangular electrodes as was shown in  FIG. 6 , or by orienting straight lines electrodes such that they point slightly away from the cantilever edges. Comparing line  812  to lines  804  and  808 , it can be seen that the actuation region for the laterally adjacent triangular electrodes is substantially larger than the actuation region for the electrode positioned underneath the cantilever and the rectangular electrodes positioned laterally adjacent to the cantilever. Thus the cantilever has a large actuation region allowing for control of the cantilever over a wide range of voltages and tip heights. 
   It should be understood that the foregoing described cantilevers may be used for a variety of structures, systems and applications, including but not limited to optical switching.  FIG. 9  shows a simple cantilever used in a simplified optical switching system. In  FIG. 9 , an optical fiber  904  in an array of optical fiber acts as a light source that outputs a ray of light  908 . The ray  908  is focused by a lens  912  and directed to a mirror  916 . The position of mirror  916  is controlled by electrode  920  positioned laterally adjacent to cantilever  924 . The orientation of mirror  916  determines which lens in receiving lens array  928  receives light. The receiving lens focuses the received light on a corresponding fiber in receiving fiber array  932 . 
   In the illustrated embodiment of  FIG. 9 , mirror  916  positioned at the end of cantilever  924  offers movement in only one plane along an arc that represents the motion of a single cantilever. However, in array switching operations, it may be desirable to redirect light to various points in a two dimensional array. 
     FIG. 10  shows a mirror region  1004  affixed to the end of a plurality of cantilevers  1008 ,  1012 ,  1016 , and  1020 . Each cantilever, such as cantilever  1008 , includes a fixed end, such as fixed end  1024  affixed to an underlying substrate. Fixed electrodes, such as electrodes  1028  and electrode  1032  typically are formed on the underlying substrate and run along the perimeter of a corresponding cantilever. Each electrode, such as electrode  1028  can be considered laterally adjacent to the corresponding cantilever and may be used to deflect the corresponding cantilever. An end of cantilever  1008  opposite fixed end  1024  is coupled to mirror region  1004 , thus as the cantilever moves up or down, the edge of the mirror coupled to the cantilever also moves up or down accordingly. The portion of the electrode near the fixed end such as fixed end  1024  serves mainly to couple the different sections of the electrode and keep the entire electrode at a fixed potential. 
   Other configurations of cantilevers and mirrors are also available as described in patent application Ser. Nos. 09/672,381 and 09/675,045 entitled “Method for an Optical Switch on a Silicon Substrate” and “Structure for an Optical Switch on a Substrate” respectively, both patent applications are hereby incorporated by reference. Control of the various mirror and cantilever configurations described in the references can be improved by placement of electrodes adjacent to the cantilevers. 
   The foregoing description includes a number of details that are provided to provide a clear understanding of the technology and the invention as well as to provide examples of different ways of using and/or implementing the technology. Details in the description such as dimensions, materials used to fabricate the device, and particular geometries should not be used to limit the invention. Likewise, it should be appreciated by those skilled in the art that other geometries and combinations are possible for suspension cantilevers and suspended structures, as well as for mechanical motions. It will also be appreciated by those skilled in the art that the presence of laterally offset electrodes does not preclude the presence of other, additional electrodes in any position or orientation, for any additional purpose (such as linearizing the deflection vs. voltage curve and the like). Thus, the invention should only be limited by the restrictions recited in the claims which follow.