Generalized Z-domain absorbing boundary conditions for the analysis of electromagnetic problems with finite-difference time-domain method

Author

Shao, ZhenHai ; Hong, Wei ; Zhou, Jianyi

Author_Institution

Dept. of Radio Eng., Southeast Univ., Nanjing, China

Volume

51

Issue

1

fYear

2003

fDate

1/1/2003 12:00:00 AM

Firstpage

82

Lastpage

90

Abstract

In this paper, a generalized absorbing boundary condition (Z-ABCs) is constructed in the Z-transform domain. Based on Z-ABCs, some well-known ABCs, such as the Mur´s ABC, the dispersive boundary condition, Zhao and Litva´s ABC, Liao´s ABC, etc. can be easily deduced. Besides, it can also result in some new ABCs. Recurrence formulas for the coefficients of Z-ABCs are presented, and the stability and numerical dispersive characteristics are discussed in detail. In order to validate the Z-ABCs, the finite-difference time-domain method is applied to the analysis of transmission lines, integrated filters, patch antennas, and scattering problems.

Keywords

Z transforms; antenna theory; computational electromagnetics; electromagnetic wave absorption; electromagnetic wave scattering; finite difference time-domain analysis; numerical stability; transmission line theory; EM problems analysis; FDTD method; dispersive boundary condition; electromagnetic problems; finite-difference time-domain method; generalized ABC; generalized Z-domain absorbing boundary conditions; integrated filters; numerical dispersive characteristics; numerical stability; patch antennas; recurrence formulas; scattering problems; transmission lines; Boundary conditions; Dispersion; Electromagnetic analysis; Electromagnetic scattering; Filters; Finite difference methods; Millimeter wave technology; Numerical stability; Patch antennas; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2002.806908

Filename

1159670