Three-dimensional time-domain method for solving Maxwell´s equations based on circumcenters of elements

Author

Hano, Mitsuo ; Itoh, Tatsuo

Author_Institution

California Univ., Los Angeles, CA, USA

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

946

Lastpage

949

Abstract

The finite-difference time-domain (FD-TD) method, based on the traditional Yee (1966) algorithm, has been successfully applied to the analysis of many problems of interest. A three-dimensional time-domain method for solving Maxwell´s equations is developed by using non-cubic cells. The advantage of this formulation is that it is free from a volume integration since updating equations are directly obtained from Faraday and Ampere´s laws. The faces of tetrahedral elements and the polygons of their Voronoi diagram are chosen as integral surfaces for Faraday and Ampere´s laws, respectively. From the calculation of the scattering of the plane wave by a cylinder, it is found that this formulation is valid for curved surfaces

Keywords

Maxwell equations; computational geometry; electromagnetic wave propagation; electromagnetic wave scattering; finite difference time-domain analysis; Ampere´s laws; FD-TD method; Faraday laws; Maxwell´s equations; Voronoi diagram; Yee algorithm; circumcenters; curved surfaces; cylinder; finite-difference time-domain method; integral surfaces; noncubic cells; plane wave propagation; plane wave scattering; polygons; tetrahedral elements; three-dimensional time-domain method; updating equations; Algorithm design and analysis; Electromagnetic scattering; Finite difference methods; Finite element methods; Integral equations; Magnetic fields; Magnetic flux; Maxwell equations; Scattering; Shape; Surface treatment; Surface waves; Time domain analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497398

Filename

497398