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13







                                                                                    Modeling and

                                                                  Simulation for MEMS






                                                              13.1  Introduction
                                                              13.2  The Digital Circuit Development Process:
                                                                    Modeling and Simulating Systems with
                                                                    Micro- (or Nano-) Scale Feature Sizes
                                                              13.3  Analog and Mixed-Signal Circuit Development:
                                                                    Modeling and Simulating Systems with Micro-
                                                                    (or Nano-) Scale Feature Sizes and Mixed Digital
                                                                    (Discrete) and Analog (Continuous) Input,
                                                                    Output, and Signals
                                                              13.4  Basic Techniques and Available Tools for
                                                                    MEMS Modeling and Simulation
                                                                    Basic Modeling and Simulation Techniques  •  A Catalog
                                                                    of Resources for MEMS Modeling and Simulation
                                                              13.5  Modeling and Simulating MEMS, i.e., Systems
                                                                    with Micro- (or Nano-) Scale Feature Sizes,
                                                                    Mixed Digital (Discrete) and Analog
                                                                    (Continuous) Input, Output, and Signals,
                                                                    Two- and Three-Dimensional Phenomena,
                                                                    and Inclusion and Interaction of Multiple
                                                                    Domains and Technologies
                                                              13.6  A “Recipe” for Successful MEMS Simulation
                                 Carla Purdy                  13.7  Conclusion: Continuing Progress in MEMS
                                 University of Cincinnati           Modeling and Simulation

                                 13.1 Introduction
                                 Accurate modeling and efficient simulation, in support of greatly reduced development cycle time and
                                 cost, are well established techniques in the miniaturized world of integrated circuits (ICs). Simulation
                                 accuracies of 5% or less for parameters of interest are achieved fairly regularly [1], although even much
                                 less accurate simulations (25–30%, e.g.) can still be used to obtain valuable information [2]. In the IC
                                 world, simulation can be used to predict the performance of a design, to analyze an already existing
                                 component, or to support automated synthesis of a design. Eventually, MEMS simulation environments
                                 should also be capable of these three modes of operation. The MEMS developer is, of course, most
                                 interested in quick access to particular techniques and tools to support the system currently under
                                 development. In the long run, however, consistently achieving acceptably accurate MEMS simulations will
                                 depend both on the ability of the CAD (computer-aided design) community to develop robust, efficient,
                                 user-friendly tools which will be widely available both to cutting-edge researchers and to production
                                 engineers and on the existence of readily accessible standardized processes. In this chapter we focus on
                                 fundamental approaches which will eventually lead to successful MEMS simulations becoming routine.





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