Computation of 3D MEMS electrostatics using a nearly exact BEM solver

被引:22
作者
Muhkopadhyay, S. [1 ]
Majumdar, N. [1 ]
机构
[1] Saha Inst Nucl Phys, Kolkata 700064, W Bengal, India
关键词
boundary element method; Green function; electrostatics; MEMS; thin plates;
D O I
10.1016/j.enganabound.2006.03.002
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The electrostatic properties of thin plate shaped structures relevant to the micro-electro-mechanical systems (MEMS) have been computed using a nearly exact boundary element method (BEM) solver. The solver uses closed form expressions for three-dimensional potential and force fields due to uniform sources/sinks distributed on finite flat surfaces. The expressions have been validated and, being analytical, have been found to be applicable throughout the physical domain. The solver has been applied to compute accurately and efficiently the charge densities on thin plate shaped conductors as used in MEMS components. We have presented results for the model problem of parallel plate capacitors and compared them with results obtained from several other BEM based solvers. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:687 / 696
页数:10
相关论文
共 10 条
[1]   Electrostatic BEM for MEMS with thin conducting plates and shells [J].
Bao, ZP ;
Mukherjee, S .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2004, 28 (12) :1427-1435
[2]   Heritage and early history of the boundary element method [J].
Cheng, AHD ;
Cheng, DT .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (03) :268-302
[3]  
ETTER D, 1993, ENG PROBLEM SOLVING
[4]   EXTRAPOLATED SURFACE-CHARGE METHOD FOR CAPACITY CALCULATION OF POLYGONS AND POLYHEDRA [J].
GOTO, E ;
SHI, Y ;
YOSHIDA, N .
JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 100 (01) :105-115
[5]  
Harrington R. F., 1993, Field Computation by Moment Methods
[6]  
MUKHOPADHYAY S, 2006, IN PRESS IEEE T NUCL, P53
[7]   Improved extrapolation technique in the boundary element method to find the capacitances of the unit square and cube [J].
Read, FH .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 133 (01) :1-5
[8]   THE CHARGE-DENSITY METHOD OF SOLVING ELECTROSTATIC PROBLEMS WITH AND WITHOUT THE INCLUSION OF SPACE-CHARGE [J].
RENAU, A ;
READ, FH ;
BRUNT, JNH .
JOURNAL OF PHYSICS E-SCIENTIFIC INSTRUMENTS, 1982, 15 (03) :347-354
[9]  
Senturia S. D., 1992, Journal of Microelectromechanical Systems, V1, P3, DOI 10.1109/84.128049
[10]   ON THE APPLICATION OF 2D POTENTIAL-THEORY TO ELECTROSTATIC SIMULATION [J].
SHI, F ;
RAMESH, P ;
MUKHERJEE, S .
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1995, 11 (08) :691-701