Analysis and compensation of numerical dispersion in the FDTD method for layered, anisotropic media

Author

Moss, C.D. ; Teixeira, Fernando L. ; Kong, Jin Au

Author_Institution

Res. Lab. of Electron., MIT, Cambridge, MA, USA

Volume

50

Issue

9

fYear

2002

fDate

9/1/2002 12:00:00 AM

Firstpage

1174

Lastpage

1184

Abstract

In this work, we investigate the effects of numerical dispersion in the finite-difference time-domain (FDTD) algorithm for layered, anisotropic media. We first derive numerical dispersion relations for diagonally anisotropic media (corresponding to an FDTD reference frame coinciding with the principal axes of a biaxial media). In addition, we incorporate the discretization effects on the reflection and transmission coefficients in layered media. We then apply this analysis to minimize the numerical dispersion error of Huygens´ plane-wave sources in layered, uniaxial media. For usual discretization sizes, a typical reduction of the scattered field error on the order of 30 dB is demonstrated.

Keywords

anisotropic media; buried object detection; compensation; electromagnetic wave reflection; electromagnetic wave scattering; electromagnetic wave transmission; finite difference time-domain analysis; inhomogeneous media; radar detection; 30 dB; FDTD method; Huygens´ plane-wave sources; biaxial media; buried object detection; diagonally anisotropic media; discretization effects; finite-difference time-domain algorithm; layered anisotropic media; layered uniaxial media; numerical dispersion; numerical dispersion relations; reflection coefficients; scattered field error; transmission coefficients; Algorithm design and analysis; Anisotropic magnetoresistance; Calculus; Dispersion; Finite difference methods; Gold; Laboratories; Lattices; Nonhomogeneous media; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2002.802092

Filename

1048989