relation: http://miis.maths.ox.ac.uk/miis/265/
title: Some studies on the deformation of the membrane in an RF MEMS switch
creator: Ambati, Vijaya Raghav
creator: Asheim, Andreas
creator: van den Berg, Jan Bouwe
creator: van Gennip, Yves
creator: Gerasimov, Tymofiy
creator: Hlod, Andriy
creator: Planque, Bob
creator: van der Schans, Martin
creator: van der Stelt, Sjors
creator: Rivera, Michelangelo Vargas
subject: Materials
subject: None/Other
description: Radio Frequency (RF) switches of Micro Electro Mechanical Systems (MEMS) are appealing to the mobile industry because of their energy efficiency and ability to accommodate more frequency bands. However, the electromechanical coupling of the electrical circuit to the mechanical components in RF MEMS switches is not fully understood.    In this paper, we consider the problem of mechanical deformation of electrodes in RF MEMS switch due to the electrostatic forces caused by the difference in voltage between the electrodes. It is known from previous studies of this problem, that the solution exhibits multiple deformation states for a given electrostatic force. Subsequently, the capacity of the switch that depends on the deformation of electrodes displays a hysteresis behaviour against the voltage in the switch.    We investigate the present problem along two lines of attack.  First, we solve for the deformation states of electrodes using numerical methods such as finite difference and shooting methods. Subsequently, a relationship between capacity and voltage of the RF MEMS switch is constructed. The solutions obtained are exemplified using the continuation and bifurcation package AUTO.  Second, we focus on the analytical methods for a simplified version of the problem and on the stability analysis for the solutions of deformation states. The stability analysis shows that there exists a continuous path of equilibrium deformation states between the open and closed state.
date: 2008
type: Study Group Report
type: NonPeerReviewed
format: application/pdf
language: en
identifier: http://miis.maths.ox.ac.uk/miis/265/1/nxp.pdf
format: application/pdf
language: en
identifier: http://miis.maths.ox.ac.uk/miis/265/2/nxp-report.pdf
identifier:   Ambati, Vijaya Raghav and Asheim, Andreas and van den Berg, Jan Bouwe and van Gennip, Yves and Gerasimov, Tymofiy and Hlod, Andriy and Planque, Bob and van der Schans, Martin and van der Stelt, Sjors and Rivera, Michelangelo Vargas  (2008) Some studies on the deformation of the membrane in an RF MEMS switch.  [Study Group Report]