The equivalence of inclined uniaxial and biaxial electrical anisotrophy in inhomogeneous two-dimensional media for homogeneous TM-type plane wave propagation problems

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Title The equivalence of inclined uniaxial and biaxial electrical anisotrophy in inhomogeneous two-dimensional media for homogeneous TM-type plane wave propagation problems
Author Wilson, Glenn Andrew; Thiel, David Victor
Journal Name P I E R Progress in Electromagnetics Research
Editor J.A. Kong
Year Published 2003
Place of publication United States
Publisher E M W Publishing
Abstract For a homogeneous TM-type wave propagating in a two-dimensional half space with both vertical and horizontal inhomogeneities, where the TM-type wave is aligned with one of the elements of the conductivity tensor, it is shown using exact solutions to boundary value problems that the shearing term in the homogeneous Helmholtz equation for inclined uniaxial anisotropic media unequivocally vanishes and solutions need only be sought to the homogeneous Helmholtz equation for fundamental biaxial anisotropic media. This implies that those problems posed with an inclined uniaxial conductivity tensor can be identically stated with a fundamental biaxial conductivity tensor, provided that the conductivity values are the reciprocal of the diagonal terms from the Euler rotated resistivity tensor. The applications of this for numerical methods of solving arbitrary two-dimensional problems for a homogeneous TM-type wave is that they need only to approximate the homogeneous Helmholtz equation and neglect the corresponding shearing term.
Peer Reviewed Yes
Published Yes
Publisher URI http://www.jpier.org/PIER/
Alternative URI http://dx.doi.org/10.2528/PIER03021202
Copyright Statement Copyright 2003 EMW Publishing. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 43
Edition 2003
Page from 143
Page to 162
ISSN 1070-4698
Date Accessioned 2003-11-07
Date Available 2011-04-28T07:06:07Z
Language en_AU
Research Centre Centre for Wireless Monitoring and Applications
Faculty Faculty of Engineering and Information Technology
Subject PRE2009-Electromagnetism
URI http://hdl.handle.net/10072/5962
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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