A new finite-difference time-domain algorithm for solving Maxwell´s equations

Author

Bi, Zhiqiang ; Wu, Keli ; Wu, Chen ; Litva, John

Author_Institution

Commun. Res. Lab., McMaster Univ., Hamilton, Ont., Canada

Volume

1

Issue

12

fYear

1991

Firstpage

382

Lastpage

384

Abstract

An algorithm is presented for deriving finite-difference-time-domain (FD-TD) solutions of Maxwell´s equations. When compared with Yee´s method (1966), it is found that the stability conditions for this method exceed those of Yee´s method by the factors 1.41 and 1.73, respectively, for the two-dimensional and three-dimensional cases. The algorithm is compatible with both Yee´s method and the finite-element-time domain method, thereby allowing for unification of the two. The algorithm will also provide greater flexibility in formulating and studying the multigrid method, the variable mesh method, and the method of finite difference approximations of the boundary conditions.<>

Keywords

electromagnetism; 2D case; 3D case; Maxwell´s equations; boundary conditions; finite-difference time-domain algorithm; method of finite difference approximations; multigrid method; stability conditions; variable mesh method; Bismuth; Difference equations; Differential equations; Finite difference methods; Finite element methods; Lattices; Maxwell equations; Receiving antennas; Stability; Time domain analysis;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.103858

Filename

103858