A field theoretical comparison of FDTD and TLM

Author

Krumpholz, Michael ; Huber, Christian ; Russer, Peter

Author_Institution

Ferdinand-Braun-Inst. fur Hochstfrequenztech., Berlin, Germany

Volume

43

Issue

8

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

1935

Lastpage

1950

Abstract

A field theoretical derivation of the three-dimensional TLM method with expanded node and of the three-dimensional TLM method with asymmetrical condensed node is given. In the derivation, the Method of Moments is applied to Maxwell´s equations. The wave amplitudes are related to the tangential field components at the boundaries of the TLM cell. The same approach is applied to derive the FDTD method from Maxwell´s equations. A complete dispersion analysis is given for the two TLM methods as well as for the FDTD method

Keywords

Maxwell equations; dispersion relations; finite difference time-domain analysis; method of moments; transmission line matrix methods; FDTD; Maxwell equations; asymmetrical condensed node; dispersion analysis; expanded node; field theoretical comparison; method of moments; tangential field components; three-dimensional TLM method; wave amplitudes; Dispersion; Electromagnetic fields; Finite difference methods; Magnetic fields; Maxwell equations; Moment methods; Sampling methods; Time domain analysis; Transmission line matrix methods; Transmission line theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.402284

Filename

402284