A field theoretical derivation of TLM

Author

Krumpholz, Michael ; Russer, Peter

Author_Institution

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

Volume

42

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

1660

Lastpage

1668

Abstract

A field theoretical foundation of the TLM method is presented in this paper. In the derivation of the condensed symmetric TLM node, the Method of Moments is applied to Maxwell´s equations to obtain discretized field equations. It is shown that the traditional mapping between wave amplitudes and electric and magnetic field components incorporates serious problems. Therefore, a new mapping between the wave amplitudes and the electric and magnetic field components is introduced. Applying the new mapping to the discretized field equations, the fundamental equations of the three-dimensional TLM method with condensed symmetric node are derived from Maxwell´s equations

Keywords

Maxwell equations; electromagnetic field theory; numerical analysis; transmission line theory; Maxwell´s equations; TLM; condensed symmetric node; discretized field equations; field theoretical derivation; fundamental equations; method of moments; Electromagnetic fields; Electromagnetic transients; Hilbert space; Magnetic fields; Maxwell equations; Moment methods; Power transmission lines; Sampling methods; Testing; Transmission line theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.310559

Filename

310559