Generalized TLM algorithms with controlled stability margin and their equivalence with finite-difference formulations for modified grids

Author

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

Author_Institution

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

Volume

43

Issue

9

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

2081

Lastpage

2089

Abstract

Generalized TLM formulation based on modified grids of 2-D shunt nodes or 3-D expanded modes are proposed. Generalization consists of permitting flexible control of the numerical stability margin (and thus a time-step for a particular discretization), and of introducing enhanced models for curved boundaries. Formal equivalence between generalized TLM and FDTD algorithms based on the same grid is proved. Simple rules for transforming circuit models (from TLM to FDTD and vice versa) and for their equivalent excitation are given. It is demonstrated that the application of the generalized algorithm reduces computer resources required for the TLM analysis of a circular waveguide by an order of magnitude

Keywords

circular waveguides; finite difference time-domain analysis; numerical stability; transmission line matrix methods; waveguide theory; 2D shunt nodes; 3D expanded modes; FDTD algorithms; circuit models; circular waveguide; controlled stability margin; curved boundaries; equivalence; equivalent excitation; finite-difference formulations; generalized TLM algorithms; modified grids; numerical stability margin; Algorithm design and analysis; Application software; Circuit stability; Finite difference methods; Helium; Microwave circuits; Microwave propagation; Microwave theory and techniques; Time domain analysis; Transmission lines;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.414544

Filename

414544