Perfectly matched layer implementation using bilinear transform for microwave device applications

This paper presents an extensive study on the perfectly matched layer (PML) implementation using bilinear transform in the finite-difference time-domain (FDTD) simulation. The bilinear transform is used to implement both the stretched coordinate PML (SC-PML) and the uniaxial PML (UPML) with the complex frequency-shifted (CFS) equations. It is shown that with the CFS factor, the implemented SC-PML and UPML attain significantly lower relative reflection error over wide frequency range with both superior in performance to the split-field PML. The FDTD algorithm incorporating these PMLs is applied to analyze wide-band responses of some complex microwave devices, including RF microelectromechanical systems switch and coplanar waveguide crossover junction.

[1]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[2]  Gabriel M. Rebeiz,et al.  High-isolation CPW MEMS shunt switches. 1. Modeling , 2000 .

[3]  Andre Knoesen,et al.  DISPERSIVE MODELS FOR THE FINITE-DIFFERENCE TIME-DOMAIN METHOD : DESIGN, ANALYSIS, AND IMPLEMENTATION , 1994 .

[4]  José A. Pereda,et al.  FDTD modeling of wave propagation in dispersive media by using the Mobius transformation technique , 2002 .

[5]  Jin-Fa Lee,et al.  A perfectly matched anisotropic absorber for use as an absorbing boundary condition , 1995 .

[6]  Richard W. Ziolkowski,et al.  Maxwellian material-based absorbing boundary conditions for lossy media in 3-D , 2000 .

[7]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[8]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[9]  Gabriel M. Rebeiz,et al.  High-isolation CPW MEMS shunt switches. 2. Design , 2000 .

[10]  George E. Ponchak,et al.  Finite ground coplanar waveguide (FGC) low loss, low coupling 90-degree crossover junctions , 2002 .

[11]  Weng Cho Chew,et al.  A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates , 1994 .

[12]  Richard W. Ziolkowski,et al.  Time-derivative Lorentz material model-based absorbing boundary condition , 1997 .

[13]  R. Luebbers,et al.  The Finite Difference Time Domain Method for Electromagnetics , 1993 .

[14]  Dennis M. Sullivan,et al.  Electromagnetic Simulation Using the FDTD Method , 2000 .

[15]  S. Gedney.  An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices , 1996 .

[16]  X.T. Dong,et al.  Perfectly matched layer-absorbing boundary condition for left-handed materials , 2004, IEEE Microwave and Wireless Components Letters.

[17]  Stephen D. Gedney,et al.  Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media , 2000 .

[18]  Raj Mittra,et al.  Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers , 1996 .

[19]  Stephen D. Gedney,et al.  An Anisotropic PML Absorbing Media for the FDTD Simulation of Fields in Lossy and Dispersive Media , 1996 .