Conformal PML-FDTD schemes for electromagnetic field simulations: a dynamic stability study

Author

Teixeira, F.L. ; Hwang, K.-P. ; Chew, W.C. ; Jin, J.M.

Volume

49

Issue

6

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

902

Lastpage

907

Abstract

We present a study on the dynamic stability of the perfectly matched layer (PML) absorbing boundary condition for finite-difference time-domain (FDTD) simulations of electromagnetic radiation and scattering problems in body-conformal orthogonal grids. This work extends a previous dynamic stability analysis of Cartesian, cylindrical and spherical PMLs to the case of a conformal PML. It is shown that the conformal PML defined over surface terminations with positive local radii of curvature (concave surfaces as viewed from inside the computational domain) is dynamically stable, while the conformal PML defined over surface terminations with a negative local radius (convex surfaces as viewed from inside the computational domain) is dynamically unstable. Numerical results illustrate the analysis

Keywords

digital simulation; electromagnetic fields; electromagnetic wave scattering; finite difference time-domain analysis; spectral analysis; stability; Cartesian PML; EM field simulations; absorbing boundary condition; body-conformal orthogonal grids; computational domain; concave surfaces; conformal PML-FDTD schemes; convex surfaces; cylindrical PML; dynamic stability; electromagnetic field simulations; electromagnetic radiation; electromagnetic scattering; finite-difference time-domain; negative local radius; perfectly matched layer; positive local radii of curvature; spectral analysis; spherical PML; surface terminations; Boundary conditions; Electromagnetic fields; Finite difference methods; Geometry; Laboratories; Maxwell equations; Optical scattering; Perfectly matched layers; Stability; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.931147

Filename

931147