CAD challenges for microsensors, microactuators, and microsystems

In parallel with the development of new technologies, new device configurations, and new applications for microsensors, microactuators, and microsystems, also referred to as microelectromechanical devices and systems (MEMS), there has arisen a growing need for computer-aided engineering and design systems. There is a wide range of design problems: process simulation, solid-body geometric renderings from photomasks and process descriptions, energetically correct simulations of behavior across multiple coupled energy domains, extraction of lumped low-order models of device behavior, optimization of geometry and process sequence, and design of full systems that include MEMS devices. Because of the computational demands of the modeling required to support full computer-aided design (CAD), there is a premium on fast and memory-efficient algorithms that help the designer, both by automating, where possible, complex sets of related tasks and by providing rapid computational prototyping at critical points in the design cycle. This paper presents an overview of the present state of the art in CAD for MEMS, with particular emphasis on the role of macromodels and test structures as part of the design environment.

[1]  Neville Hogan,et al.  Integrated Modeling of Physical System Dynamics , 1995 .

[2]  Jacob K. White,et al.  Simulating the behavior of MEMS devices: computational methods and needs , 1997 .

[3]  Wolfgang Fichtner,et al.  Full three-dimensional numerical analysis of multi-collector magnetotransistors with directional sensitivity , 1995 .

[4]  D. Cho,et al.  Extension of the boundary element method to systems with conductors and piece-wise constant dielectrics , 1996 .

[5]  H. Baltes,et al.  Automatic adaptive meshing for efficient electrostatic boundary element simulations , 1996, 1996 International Conference on Simulation of Semiconductor Processes and Devices. SISPAD '96 (IEEE Cat. No.96TH8095).

[6]  Jan G. Korvink,et al.  Magnetostatic Modeling Of An Integrated Microconcentrator , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[7]  Masayoshi Esashi,et al.  Control of distributed electrostatic microstructures , 1993 .

[8]  U Heim,et al.  A new approach for the determination of the shape of etched devices , 1993 .

[9]  G. K. Ananthasuresh,et al.  3D modeling of contact problems and hysteresis in coupled electro-mechanics , 1996, Proceedings of Ninth International Workshop on Micro Electromechanical Systems.

[10]  David Brock,et al.  A Dynamic Model of a Linear Actuator Based on Polymer Hydrogel , 1994 .

[11]  J. B. Starr Squeeze-film damping in solid-state accelerometers , 1990, IEEE 4th Technical Digest on Solid-State Sensor and Actuator Workshop.

[12]  A. Nathan,et al.  Thermal Based Micro Flow Sensor Optimization Using Coupled Electrothermal Numerical Simulations , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[13]  Byung Man Kwak,et al.  Slide film damping in laterally driven microstructures , 1994 .

[14]  Bumkyoo Choi,et al.  Improved analysis of microbeams under mechanical and electrostatic loads , 1997 .

[15]  Alan S. Perelson,et al.  System Dynamics: A Unified Approach , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[16]  Anthony J. Walton,et al.  The Automatic Generation of Conformal 3D data for Simulation of IC Interconnect Parasitics and Representation of MEM Structures , 1995, ESSDERC '95: Proceedings of the 25th European Solid State Device Research Conference.

[17]  Vanco B. Litovski,et al.  Mechatronic Simulation Using Alecsis. Anatomy of the Simulator , 1995, EUROSIM.

[18]  Weileun Fang,et al.  Post buckling of micromachined beams , 1994 .

[19]  Henri Camon,et al.  New trends in atomic scale simulation of wet chemical etching of silicon with koh , 1996 .

[20]  Walter Allegretto,et al.  Numerical analysis of magnetic-field-sensitive bipolar devices , 1991, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[21]  Kristofer S. J. Pister,et al.  Parameterized layout synthesis, extraction, and SPICE simulation for MEMS , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[22]  Subrata Mukherjee,et al.  Simulation methods for micro-electro-mechanical structures (MEMS) with application to a microtweezer , 1995 .

[23]  J. T. Stewart Geometrically non-linear finite element modeling of microelectromechanical structures subjected to electrostatic loading , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[24]  Arthur Brunnschweiler,et al.  Coupled FEM simulation for the characterization of the fluid flow within a micromachined cantilever valve , 1996 .

[25]  J. Frühauf,et al.  Computer simulation of the development of dish-shaped deepenings by orientation-dependent etching of {100} silicon , 1993 .

[26]  R. Mahadevan Analytical modelling of electrostatic structures , 1990, IEEE Proceedings on Micro Electro Mechanical Systems, An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots..

[27]  A. Nathan,et al.  The Hall effect in integrated magnetotransistors , 1989 .

[28]  A. J. Mouthaan,et al.  Thermodynamic analysis of semiconductor structures using a device simulator and lumped circuit modelling , 1994 .

[29]  Byung Man Kwak,et al.  Viscous energy dissipation in laterally oscillating planar microstructures: a theoretical and experimental study , 1993, [1993] Proceedings IEEE Micro Electro Mechanical Systems.

[30]  Kristofer S. J. Pister,et al.  3DμV: a MEMS 3D visualization package , 1995, MOEMS-MEMS.

[31]  Stephen D. Senturia,et al.  The future of microsensor and microactuator design , 1996 .

[32]  S. D. Senturia,et al.  "Membuilder": An Automated 3D Solid Model Construction Program For Microelectromechanical Structures , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[33]  E. Crawley,et al.  Detailed models of piezoceramic actuation of beams , 1989 .

[34]  S. F. Bart,et al.  A computationally practical approach to simulating complex surface-micromachined structures with fabrication non-idealities , 1995, Proceedings IEEE Micro Electro Mechanical Systems. 1995.

[35]  Mark G. Allen,et al.  ERRATUM: An energy-based design criterion for magnetic microactuators , 1996 .

[36]  Scott H. Goodwin-Johansson,et al.  Integrated force arrays: theory and modeling of static operation , 1995 .

[37]  C. Riccobene,et al.  Operating principle of dual collector magnetotransistors studied by two-dimensional simulation , 1994 .

[38]  C. Séquin,et al.  Computer simulation of anisotropic crystal etching , 1991, TRANSDUCERS '91: 1991 International Conference on Solid-State Sensors and Actuators. Digest of Technical Papers.

[39]  Chiakang Sung,et al.  A general simulator for VLSI lithography and etching processes: Part II—Application to deposition and etching , 1980, IEEE Transactions on Electron Devices.

[40]  C. Hom,et al.  A numerical analysis of relaxor ferroelectric multilayered actuators and 2-2 composite arrays , 1995 .

[41]  Manfred Glesner,et al.  Automatic transfer of parametric FEM models into CAD-layout formats for top-down design of microsystems , 1997, Proceedings European Design and Test Conference. ED & TC 97.

[42]  J. Fruhauf,et al.  A simulation tool for orientation dependent etching , 1993 .

[43]  S. Senturia,et al.  Verification of FEM analysis of load-deflection methods for measuring mechanical properties of thin films , 1990, IEEE 4th Technical Digest on Solid-State Sensor and Actuator Workshop.

[44]  P. Di Barba,et al.  DESIGN OPTIMIZATION OF AN ELECTROSTATIC MICROMOTOR WITH AXIAL FIELD , 1995 .

[45]  Khalil Najafi,et al.  Electronic Determination of the Modulus of Elasticity and Intrinsic Stress of Thin Films using Capacitive Bridges , 1992 .

[46]  J. Bryzek,et al.  Micromachines on the march , 1994, IEEE Spectrum.

[47]  Jan G. Korvink,et al.  SOLIDIS: a tool for microactuator simulation in 3-D , 1997 .

[48]  S. D. Senturia CAD For Microelectromechanical Systems , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[49]  Mehran Mehregany,et al.  Modeling of the electromechanical performance of piezoelectric laminated microactuators , 1993 .

[50]  Eckhard Quandt,et al.  Fabrication and simulation of magnetostrictive thin-film actuators , 1995 .

[51]  Jan Gimsa,et al.  Analysis of the torque-frequency characteristics of dielectric induction motors , 1992 .

[52]  R. Howe,et al.  Characterization of Thin Films using Micromechanical Structures , 1992 .

[53]  Dan Haronian Maximizing microelectromechanical sensor and actuator sensitivity by optimizing geometry , 1995 .

[54]  A. Pisano,et al.  Microbubble powered actuator , 1991, TRANSDUCERS '91: 1991 International Conference on Solid-State Sensors and Actuators. Digest of Technical Papers.

[55]  C. Liang,et al.  Electro-mechanical impedance modeling of active material systems , 1996 .

[56]  S. Senturia,et al.  3D coupled electro-mechanics for MEMS: applications of CoSolve-EM , 1995, Proceedings IEEE Micro Electro Mechanical Systems. 1995.

[57]  Johan Scholliers,et al.  A SPICE-based library for mechatronic systems , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[58]  A. Koide,et al.  Simulation of three-dimensional etch profile of silicon during orientation dependent anisotropic etching , 1991, Proceedings IEEE The Tenth Annual International Workshop on Micro Electro Mechanical Systems. An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots.

[59]  Jacob K. White,et al.  A computer-aided design system for microelectromechanical systems (MEMCAD) , 1992 .

[60]  M. K. Andrews,et al.  A comparison of squeeze-film theory with measurements on a microstructure , 1993 .

[61]  C. Tellier,et al.  Micromachining of (hhl) silicon structures: experiments and 3D simulation of etched shapes , 1997 .

[62]  Bernd Folkmer,et al.  CAD tools for micromechanics , 1993 .

[63]  H. Yie,et al.  Convergence properties of relaxation versus the surface-Newton generalized-conjugate residual algorithm for self-consistent electromechanical analysis of 3-D micro-electro-mechanical structures , 1994, Proceedings of International Workshop on Numerical Modeling of processes and Devices for Integrated Circuits: NUPAD V.

[64]  Reinoud F. Wolffenbuttel,et al.  Comparison of techniques for measuring both compressive and tensile stress in thin films , 1993 .

[65]  Tarik Bourouina,et al.  Modeling micropumps with electrical equivalent networks , 1996 .

[66]  Mattan Kamon,et al.  Efficient Reduced-Order Modeling of Frequency-Dependent Coupling Inductances associated with 3-D Interconnect Structures , 1995, 32nd Design Automation Conference.

[67]  Stephen C. Jacobsen,et al.  Field analysis for the electrostatic eccentric drive micromotor (“Wobble Motor”) , 1992 .

[68]  Khalil Najafi,et al.  Measurement of fracture stress, young's modulus, and intrinsic stress of heavily boron-doped silicon microstructures , 1989 .

[69]  Yao-Joe Yang,et al.  Low-order models for fast dynamical simulation of MEMS microstructures , 1997, Proceedings of International Solid State Sensors and Actuators Conference (Transducers '97).

[70]  T. J. Hubbard,et al.  Emergent faces in crystal etching , 1994 .

[71]  R. Howe,et al.  Microfabricated structures for the in situ measurement of residual stress, Young’s modulus, and ultimate strain of thin films , 1987 .

[72]  James T. Stewart Finite element modeling microelectromechanical structures for sensing applications , 1995, MOEMS-MEMS.

[73]  Masayoshi Esashi,et al.  Fabrication of distributed electrostatic micro actuator (DEMA) , 1993 .

[74]  C. R. Tellier,et al.  Experimental Study and Numerical Simulation of Quartz Crystal Etched Figures , 1986, 40th Annual Symposium on Frequency Control.

[75]  H. H. Richardson,et al.  A Study of Fluid Squeeze-Film Damping , 1966 .

[76]  W. Benecke,et al.  Thermally driven microvalve with buckling behaviour for pneumatic applications , 1994, Proceedings IEEE Micro Electro Mechanical Systems An Investigation of Micro Structures, Sensors, Actuators, Machines and Robotic Systems.

[77]  T. Veijola,et al.  Model for gas film damping in a silicon accelerometer , 1997, Proceedings of International Solid State Sensors and Actuators Conference (Transducers '97).

[78]  S. Crary,et al.  CAEMEMS: an integrated computer-aided engineering workbench for micro-electro-mechanical systems , 1990, IEEE Proceedings on Micro Electro Mechanical Systems, An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots..

[79]  Jan G. Korvink,et al.  Computer-aided trade-off study of an integrated infrared sensor , 1994, Proceedings of International Workshop on Numerical Modeling of processes and Devices for Integrated Circuits: NUPAD V.

[80]  Suresh Kumar,et al.  A perturbation method for calculating the capacitance of electrostatic motors , 1991 .

[81]  Carola Strandman,et al.  Method for the determination of the angular dependence during dry etching , 1995 .

[82]  M. Richter,et al.  Simulation of microfluid systems , 1994 .

[83]  Jan-Åke Schweitz,et al.  mechanical Characterization of Thin Films by Micromechanical Techniques , 1992 .

[84]  Zhijian Li,et al.  New methods for measuring mechanical properties of thin films in micromachining: Beam pull-in voltage (VPI) method and long beam deflection (LBD) method , 1995 .

[85]  A. Steckenborn,et al.  Determination of Young's moduli of micromechanical thin films using the resonance method , 1992 .

[86]  J. Fluitman,et al.  Electrostatic curved electrode actuators , 1995 .

[87]  J. Ulrich,et al.  Static and dynamic flow simulation of a KOH-etched microvalve using the finite-element method , 1996 .

[88]  S. B. Crary,et al.  Integration of the anisotropic-silicon-etching program ASEP within the CAEMEMS CAD/CAE framework , 1992, [1992] Proceedings IEEE Micro Electro Mechanical Systems.

[89]  H. Tilmans Micro-mechanical sensors using encapsulated built-in resonant strain gauges , 1991 .

[90]  Gerhard Wachutka Problem-oriented modeling of microtransducers: State of the art and future challenges , 1994 .

[91]  Jan G. Korvink,et al.  Enhanced multipole acceleration technique for the solution of large Poisson computations , 1996, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[92]  J. Lang,et al.  Electric micromotor dynamics , 1992 .

[93]  Y. Zhang,et al.  Software tools for designers of sensor and actuator CAE systems , 1991, TRANSDUCERS '91: 1991 International Conference on Solid-State Sensors and Actuators. Digest of Technical Papers.

[94]  Jacob K. White,et al.  An efficient numerical technique for electrochemical simulation of complicated microelectromechanical structures , 1997 .

[95]  L. Vu-Quoc,et al.  A rational formulation of thermal circuit models by finite element method and model reduction techniques for electro-thermal simulation , 1994, Proceedings of 1994 IEEE Workshop on Computers in Power Electronics.

[96]  J. Funk,et al.  New convergence scheme for self-consistent electromechanical analysis of iMEMS , 1995, Proceedings of International Electron Devices Meeting.

[97]  Jacob K. White,et al.  FastCap: a multipole accelerated 3-D capacitance extraction program , 1991, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[98]  H. Tilmans Equivalent circuit representation of electromechanical transducers: I. Lumped-parameter systems , 1996 .

[99]  Stephen F. Bart,et al.  Design considerations for micromachined electric actuators , 1988 .

[100]  Gerald Gerlach,et al.  Simulation Of A Complex Sensor System Using Coupled Simulation Programs , 1995, Proceedings of the International Solid-State Sensors and Actuators Conference - TRANSDUCERS '95.

[101]  S. Hirose,et al.  Mathematical model and experimental verification of shape memory alloy for designing micro actuator , 1991, [1991] Proceedings. IEEE Micro Electro Mechanical Systems.

[102]  Joachim Pelka,et al.  Simulation of dry etch processes by COMPOSITE , 1988, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[103]  M. Mehregany,et al.  Methodology for integrated MEMS designs , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[104]  Ch. Tsakmakis,et al.  Development of passive microvalves by the finite element method , 1995 .

[105]  A. Pisano,et al.  Modeling and optimal design of piezoelectric cantilever microactuators , 1997 .

[106]  M. Lajoie-Mazenc,et al.  First steps towards design, simulation, modelling and fabrication of electrostatic micromotors , 1995 .

[107]  Kazuo Sato,et al.  Characterization of MEMS materials: measurement of etching properties and mechanical strength , 1996, MHS'96 Proceedings of the Seventh International Symposium on Micro Machine and Human Science.

[108]  Stephen F. Bart,et al.  An analysis of electroquasistatic induction micromotors , 1989 .

[109]  D. W. Burns,et al.  Mechanical properties of fine grained polysilicon-the repeatability issue , 1988, IEEE Technical Digest on Solid-State Sensor and Actuator Workshop.

[110]  F. Maseeh IntelliCAD: the CAD for MEMS , 1995, Proceedings of WESCON'95.

[111]  Jacob K. White,et al.  A coupled numerical technique for self-consistent analysis of micro-electro-mechanical-systems , 1996 .

[112]  Sergio Martinoia,et al.  Use of SPICE for modeling silicon-based chemical sensors , 1994 .

[113]  J. Frühauf,et al.  Determination of rates for orientation-dependent etching , 1995 .

[114]  D. J. Ehrlich,et al.  Laser-Chemical 3-D Micromachining , 1992 .

[115]  T. Kure,et al.  A Two-Dimensional Etching Profile Simulator: ESPRIT , 1987, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[116]  Stephen D. Senturia,et al.  Computer aided macromodeling for mems , 1998 .

[117]  Jan G. Korvink,et al.  Thermomechanical modeling of an actuated micromirror , 1995 .

[118]  Shinobu Yoshimura,et al.  A CAE system for micromachines: its application to electrostatic micro wobble actuator , 1995 .

[119]  Osama J. Aldraihem,et al.  Mechanics and control of coupled bending and twisting vibration of laminated beams , 1997 .

[120]  M. Gretillat,et al.  Effect of air damping on the dynamics of nonuniform deformations of microstructures , 1997, Proceedings of International Solid State Sensors and Actuators Conference (Transducers '97).

[121]  Vijay K. Varadan,et al.  Finite element modeling of the dynamic response of a MEMS sensor , 1995, MOEMS-MEMS.

[122]  S. Senturia,et al.  M-TEST: A test chip for MEMS material property measurement using electrostatically actuated test structures , 1997 .

[123]  R. L. Edwards,et al.  A new technique for measuring the mechanical properties of thin films , 1997 .

[124]  W. E. Langlois Isothermal squeeze films , 1961 .

[125]  Peter M. Osterberg,et al.  Material property measurements of micromechanical polysilicon beams , 1996, Photonics West - Micro and Nano Fabricated Electromechanical and Optical Components.

[126]  Mohammed Hasanuzzaman,et al.  Process compilation of thin film microdevices , 1996, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[127]  T. Low,et al.  Modeling of a three-layer piezoelectric bimorph beam with hysteresis , 1995 .

[128]  William P. Robbins,et al.  A Theoretical Examination of Mems Microactuator Responses with an Emphasis on Materials and Fabrication , 1994 .

[129]  R. Howe,et al.  Viscous damping model for laterally oscillating microstructures , 1994 .

[130]  Jacob K. White,et al.  Implementation of MEMCAD system for electrostatic and mechanical analysis of complex structures from mask descriptions , 1993, [1993] Proceedings IEEE Micro Electro Mechanical Systems.

[131]  V. Varadan,et al.  Finite-element modeling of the transient response of MEMS sensors , 1997 .

[132]  J. Blechschmidt,et al.  Design and static modeling of a semiconductor polymeric piezoelectric microactuator , 1992 .

[133]  Raj K. Gupta,et al.  Electrostatic pull-in test structure design for in-situ mechanical property measurements of microelectromechanical systems (MEMS) , 1997 .

[134]  H. Detter,et al.  Modelling and simulation of microsystems using hardware description language , 1997 .

[135]  J. R. Brauer,et al.  Coupled 3D electromagnetic, structural, and thermal finite element analysis as integral components of electronic product design , 1996, Wescon/96.

[136]  Daniel J. Ehrlich,et al.  Laser microchemical technology: new tools for microsystem engineering, debug, and failure analysis , 1997, Photonics West.

[137]  Dan Reznik,et al.  Dynamic simulation as a design tool for a microactuator array , 1997, Proceedings of International Conference on Robotics and Automation.

[138]  Jan H. J. Fluitman,et al.  Finite mode bond graph model of a resonant silicon beam force sensor , 1992 .

[139]  Josep Samitier,et al.  Dynamic simulations of micropumps , 1996 .

[140]  Ira Miller,et al.  Analog behavioral modeling with the Verilog-A language , 1997 .

[141]  Masato Fujinaga,et al.  3-D topography simulator (3-D MULSS) based on a physical description of material topography , 1997 .

[142]  K. Najafi,et al.  A novel technique and structure for the measurement of intrinsic stress and Young's modulus of thin films , 1989, IEEE Micro Electro Mechanical Systems, , Proceedings, 'An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots'.

[143]  Nicolaas F. de Rooij,et al.  ASEP : a CAD Program for Silicon Anisotropic Etching , 1991 .

[144]  Mattan Kamon,et al.  FastHenry: A Multipole-Accelerated 3-D Inductance Extraction Program , 1993, 30th ACM/IEEE Design Automation Conference.

[145]  A. J. Sangster,et al.  Accuracy assessment of 2-D and 3-D finite-element models of a double-stator electrostatic wobble motor , 1997 .

[146]  Timo Veijola,et al.  Simulation model for micromechanical angular rate sensor , 1997 .

[147]  Harri eACT ilmansy Equivalent circuit representation of electromechanical transducers: I. Lumped-parameter systems , 1996 .

[148]  K. Petersen Dynamic micromechanics on silicon: Techniques and devices , 1978, IEEE Transactions on Electron Devices.

[149]  George M. Koppelman,et al.  OYSTER, a three-dimensional structural simulator for microelectromechanical design , 1989 .

[150]  L. Warne,et al.  Electrophysics of micromechanical comb actuators , 1995 .

[151]  Isabelle Dufour,et al.  Optimization of the geometry of electrostatic micromotors using only analytical equations , 1996 .

[152]  K. Ikuta,et al.  Three dimensional micro integrated fluid systems (MIFS) fabricated by stereo lithography , 1994, Proceedings IEEE Micro Electro Mechanical Systems An Investigation of Micro Structures, Sensors, Actuators, Machines and Robotic Systems.

[153]  Jan G. Korvink,et al.  Three-dimensional modelling of capacitive humidity sensors , 1990 .

[154]  Robert Lewis Reuben,et al.  Coupled electrostatic and mechanical FEA of a micromotor , 1994 .