Z-transform theory and the FDTD method

Author

Sullivan, Dennis M.

Author_Institution

Dept. of Electr. Eng., Idaho Univ., Idaho Falls, ID, USA

Volume

44

Issue

1

fYear

1996

fDate

1/1/1996 12:00:00 AM

Firstpage

28

Lastpage

34

Abstract

In implementing the finite-difference time-domain (FDTD) method on materials which are dispersive or nonlinear, the relationship between the flux density and the electric field can be the most complicated part of the problem. Because the FDTD method is a sampled time-domain method, this relationship can be can be looked upon as a digital filtering problem. The Z transform is typically used in digital filtering and signal processing problems. The paper illustrates the use of the Z transform in implementing the FDTD method where complicated dispersive or nonlinear materials are involved

Keywords

Z transforms; digital filters; dispersion (wave); electric fields; electromagnetic wave propagation; finite difference time-domain analysis; FDTD method; Z-transform theory; digital filtering; dispersive materials; electric field; finite-difference time-domain; flux density; nonlinear materials; sampled time-domain method; Convolution; Digital filters; Dispersion; Filtering; Finite difference methods; Frequency dependence; Frequency domain analysis; Maxwell equations; Nonlinear equations; Time domain analysis;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.477525

Filename

477525