TWO-DIMENSIONAL COUPLED ELECTROSTATIC-MECHANICAL MODEL FOR RF MEMS SWITCHES

Authors

  • Ehab K. I. Hamad Chair of Microwave and Communications Engineering, University of Magdeburg, P.O. Box 4120, Magdeburg D-39106, Germany, http://iesk.et.uni-magdeburg.de/hf
  • Atef Z. Elsherbeni Center for Applied Electromagnetic Systems Research (CAESR), Electrical Engineering Department, The University of Mississippi, University, MS 38677, USA
  • Amr M. E. Safwat Electronics and Communications Engineering Department, Ain Shams University, Cairo 11517, Egypt
  • Abbas S. Omar Chair of Microwave and Communications Engineering, University of Magdeburg, P.O. Box 4120, Magdeburg D-39106, Germany, http://iesk.et.uni-magdeburg.de/hf

Keywords:

TWO-DIMENSIONAL COUPLED ELECTROSTATIC-MECHANICAL MODEL FOR RF MEMS SWITCHES

Abstract

Two-dimensional (2-D) coupled electrostatic-mechanical model of RF MEMS switches has been developed, in which the effect of residual stress due to the fabrication process and axial force resulting from the beam stretching have been taken into account. The electrostatic model is based on the application of the finite difference (FD) technique to quasi-static solution of a 2-D plane cut of the MEMS switch structure. The electrostatic model calculates the induced electrostatic force on the membrane due to the applied dc bias voltage. From the resulting electrostatic potential, the force distribution, the switch capacitance, and the beam deformation have been calculated. The computed pull down voltage for different structures agrees well with published data. The developed simulation program combines the electrostatic and mechanical analyses together and gives accurate results in short running time.

Downloads

Download data is not yet available.

References

J. B. Muldavin, G. M. Rebeiz, “High-Isolation

CPW MEMS Shunt Switches-Part 1: Modeling”,

IEEE Transaction on Microwave Theory and

Techniques, Vol. 48, No. 6, pp. 1045-1052, June

E. K. Chan, K. Garikipati, and R. W. Dutton,

“Characterization of Contact Electromechanics

Through Capacitance-Voltage Measurements and

Simulations”, IEEE Journal of MEMS, Vol. 8. No.

, pp. 208-217, June 1999.

J. R. Gilbert, R. Legtenberg, and S. D. Senturia,

“3D coupled electro-mechanics for MEMS:

application of CoSolve-EM,” Proceeding of Int.

IEEE MEMS Conference, pp. 122-127, 1995.

E. K. I. Hamad, A. M. E. Safwat, and A. S. Omar,

“2-D Coupled Electrostatic-Mechanical Model for

Shunt-Capacitive MEMS Switch Based on Matlab

Program,” Proceeding of the IEEE/ACES

International Conference, Honolulu, Hawaii, USA,

April 2005.

Q. Meng, M. Mehregany, and R. L. Mullen,

“Theoretical Modeling of Microfabricated Beams

with Elastically Restrained Supports”, IEEE

Journal of MEMS, Vol. 2, pp. 128-137, Sept. 1993.

B. Choi and E. G. Lovell, “Improved Analysis of

Microbeams under Mechanical and Electrostatic

Loads”, Journal of Micromech Microeng, Vol. 7,

pp. 24–29, 1997.

L. X. Zhang, Y.-P. Zhao, “Electromechanical

Model of RF MEMS Switches”, Microsystem

Technologies 9, pp. 420–426, 2003.

A. Z. Elsherbeni, “The Finite Difference

Technique for Electromagnetic Applications”,

Electrical Engineering Department, The University

of Mississippi, University, MS 38677, USA, May

P. Osterberg, H. Yie, X. Cai, J. White, and S.

Senduria “Self-Consistent Simulation and

Modeling of Electrostatically Deformed

Diaphragms”, Proceeding of Int. IEEE MEMS

Conference, Oiso, Japan, pp. 28-32, January 1994.

S. P. Timoshenko and J. M. Gere “Theory of

Elastic Stability”, McGraw-Hill Inc., New York,

nd ED., 1961.

W. E. Boyce and R. C. Diprima, “Elementary

Differential Equations and Boundary Value

Problems”, John Wiley & Sons, Inc. New York, 6 th

ED. 1997.

Downloads

Published

2022-06-18

How to Cite

[1]
E. K. I. . Hamad, A. Z. . Elsherbeni, A. M. E. . Safwat, and A. S. . Omar, “TWO-DIMENSIONAL COUPLED ELECTROSTATIC-MECHANICAL MODEL FOR RF MEMS SWITCHES”, ACES Journal, vol. 21, no. 1, pp. 26–36, Jun. 2022.

Issue

Section

General Submission