New TLM algorithms with controlled stability margin and their application to improve the modelling of curved boundaries

Author

Celuch-Marcysiak, M. ; Gwarek, W.K.

Author_Institution

Inst. of Radioelectron., Warsaw Univ. of Technol., Poland

fYear

1994

fDate

23-27 May 1994

Firstpage

357

Abstract

In this work new TLM formulations based on 2D shunt node and 3D expanded node are proposed. In comparison with standard TLM algorithms based on the same discretization of space, the new algorithms can use longer or shorter time-steps. This corresponds to operating with decreased (family r/sup -/) or increased (family r/sup +/) decreased numerical stability margin. Stable algorithms of family r/sup -/ exist for the 3D expanded node, and they reduce numerical dispersion errors as well as computation time of standard TLM. Algorithms of family r/sup +/ can incorporate enhanced TLM models for curved boundaries. We propose one such a model herein. In many practical cases application of the new boundary model reduces computer resources required for the TLM analysis of irregularly shaped microwave circuits by an order of magnitude.<>

Keywords

convergence of numerical methods; matrix algebra; microwave circuits; transmission line theory; 2D shunt node; 3D expanded node; TLM algorithms; computation time; curved boundaries; irregularly shaped microwave circuits; modelling; numerical dispersion errors; numerical stability; space discretization; time-steps; Application software; Circuit analysis computing; Computer errors; Microwave circuits; Numerical stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Symposium Digest, 1994., IEEE MTT-S International

Conference_Location

San Diego, CA, USA

ISSN

0149-645X

Print_ISBN

0-7803-1778-5

Type

conf

DOI

10.1109/MWSYM.1994.335306

Filename

335306