A PML using a convolutional curl operator and a numerical reflection coefficient for general linear media

Author

Chevalier, Michael W. ; Inan, Umran S.

Author_Institution

Radioscience Lab. of the Dept. of Electr. Eng., Stanford Univ., CA, USA

Volume

52

Issue

7

fYear

2004

fDate

7/1/2004 12:00:00 AM

Firstpage

1647

Lastpage

1657

Abstract

A general time domain representation of the Chew and Weedon [1994] stretched coordinate perfectly matched layer (PML) absorbing boundary condition is described. This new approach mathematically operates on the spatial field derivatives and allows the PML update equations to be trivially derived from any set of general linear medium update equations. A method for calculating the frequency dependent reflection coefficient for this form of the PML is derived for general linear media. Two and three dimensional numerical test results, which validate the calculation of the reflection coefficient, are presented. The range of numerical tests include the PML matching of free space, a magnetoplasma, and a free space waveguide. Improving the reflection coefficient is examined.

Keywords

convolution; electromagnetic wave reflection; finite difference time-domain analysis; mathematical operators; recursive functions; time-domain analysis; waveguide theory; FDTD method; PML; absorbing boundary condition; convolutional curl operator; free space waveguide; general linear media; magnetoplasma; numerical reflection coefficient; perfectly matched layer; recursive convolution; reflection coefficient; spatial field derivatives; time domain representation; Anisotropic magnetoresistance; Boundary conditions; Equations; Finite difference methods; Magnetic anisotropy; Perfectly matched layers; Perpendicular magnetic anisotropy; Reflection; Testing; Time domain analysis; PML; Perfectly matched layer; recursive convolution; reflection coefficient;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2004.831318

Filename

1310623