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Advanced CAD System for Electromagnetic MEMS Interactive Analysis

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2. Objectives, Approach and Significant Results<br />

2.1 Software Development<br />

A key objective is to develop and demonstrate fully-integrated, FEM-based prototype solver<br />

capabilities to model behavior and fabrication process-dependency of <strong>MEMS</strong> devices. This<br />

includes capabilities to consider multi-physics and materials dependencies as well as other<br />

process induced factors—<strong>for</strong> example, geometry effects due to deposition/etching. The overall<br />

tool integration strategy was targeted to develop and test key components that overcome limits<br />

currently seen to be "bottlenecks" in <strong>CAD</strong> systems. Application-specific lumped modeling was<br />

pursued early on in the project and used to guide the overall direction of the <strong>CAD</strong> ef<strong>for</strong>ts,<br />

including improved parameter extraction schemes that cross-link device per<strong>for</strong>mance with<br />

physical factors such as layout and process dependencies. The approach used here addresses the<br />

following in<strong>for</strong>mation flow and simulation capabilities:<br />

1. Layered access in <strong>MEMS</strong> specification across levels--layout, process specification,<br />

geometry definition, grid and constitutive models<br />

2. Enhanced element technology <strong>for</strong> discretization of multi-physics systems of equations<br />

3. Unified approach to interface geometry and gridding through use of servers.<br />

4. Demonstration of integrated <strong>MEMS</strong> simulation capability with internet access to<br />

modeling and open interface standards including parameter extraction<br />

5. Prototyping of benchmark canonical RF test structures--both computationally and<br />

experimentally--that demonstrate capabilities of models and tools.<br />

The PhD thesis of Edward Chan [1], completed during the course of this project, describes: the<br />

validation of a canonical benchmark device (RF switch), characterization of the contact electromechanical<br />

phenomena, and the design of an electrostatic actuator with an extended range of<br />

travel. Included in the thesis are analyses (through simulations) of the effects of: changes in<br />

substrate curvature, the influences of stress gradients on fixed-fixed beams, and the importance<br />

of considering film coverage in understanding the behavior of composite materials. Rigid-body<br />

simulations of the electrostatic actuator with series feedback capacitor, used <strong>for</strong> extended travel,<br />

reveal that tilting always occurs at a spacing of ~60% of the initial gap. This tilting occurs due to<br />

asymmetry, but it is unclear why the range does not depend on degree of asymmetry or the size<br />

of the series capacitance. One difficulty related to tilting in the electrostatic actuator with<br />

extended range of travel is the fact that increasing the feedback or reducing asymmetry cannot<br />

mitigate the effect.<br />

Two aspects of the software and design capabilities developed during this research deserve<br />

special note and discussion--web-based design of <strong>MEMS</strong> and accurate modeling of geometry<br />

and process-flow in<strong>for</strong>mation. In the area of web-based design, demonstrations of the final<br />

prototype are available through the Stan<strong>for</strong>d T<strong>CAD</strong> web site [2]. Subsequent to the ending of<br />

this contract there has been substantial interest expressed by researchers at the Beckmann<br />

Institute at the University of Illinois (Professors Narayan Aluru and Umberto Ravaioli) in<br />

continuing ef<strong>for</strong>ts in this direction with computational support also coming through NCSA<br />

(National Computational Science Alliance) co-located at Illinois. The web-based prototyping<br />

environment now includes a more robust interface, remote process tracking to show the status of<br />

2

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