A strongly well-posed PML in lossy media

Author

Fan, Guo-Xin ; Liu, Qing Huo

Author_Institution

Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA

Volume

2

Issue

1

fYear

2003

fDate

6/25/1905 12:00:00 AM

Firstpage

97

Lastpage

100

Abstract

A systematic method is presented for formulating a strongly well-posed perfectly matched layer (PML) for lossy media. This method is based on the complex coordinate-stretching technique that was originally proposed for the split-field PML in lossy media. However, unlike the previous split-field PML, this unsplit-field PML retains the hyperbolic system in Maxwell´s equations, with some additional terms that are governed by ordinary differential equations that do not affect the well-posedness of the system. The derivation of the PML formulation is rigorous and straightforward.

Keywords

Maxwell equations; absorbing media; differential equations; electromagnetic field theory; Maxwell equations; absorbing boundary condition; complex coordinate-stretching technique; electromagnetic field splitting; hyperbolic system; lossy media; ordinary differential equations; perfectly matched layer; pseudospectral time domain method; split-field PML; strongly well-posed PML; Anisotropic magnetoresistance; Boundary conditions; Differential equations; Dispersion; Electromagnetic fields; Finite difference methods; Maxwell equations; Perfectly matched layers; Symmetric matrices; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2003.814776

Filename

1214901