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Wave speeds for a TLM model of moving media

✍ Scribed by William J. O'Connor

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 192 KB
Volume: 15
Category: Article
ISSN: 0894-3370
DOI: 10.1002/jnm.450

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✦ Synopsis

Abstract

In a companion paper, a transmission line matrix (TLM) scheme was presented for the solution of the 1‐D equation of waves in moving media, y~tt~+α____y~xt~+β____y~xx~=0, describing the superposition of two waves with direction‐dependent speeds. The TLM model achieved controlled, direction‐dependent wave‐speed bias by means of supplementary link lines with notional ‘diodes’. Expressions for wave speed, presented without proof, were verified. Here a proof is presented using a new, time‐domain approach. The apparent (direction‐dependent) inductance and capacitance as seen by a single wave are first established in a generalized way from the TLM algorithm, from which two wave speeds and impedances are then derived. Copyright © 2002 John Wiley & Sons, Ltd.

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