Electromagnetic wave propagation through inhomogeneous material layers

We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability \(\mu (\mathbf{r}) \) and permittivity \(% \epsilon (\mathbf{r}) \) to study the wave propagation. The general form of the wave equation is derived and by virtue of some physical assumptions, including...

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Bibliographic Details
Published in:arXiv.org 2013-07
Main Authors: S Habib Mazharimousavi, Ashkan Roozbeh, Halilsoy, M
Format: Article
Language:English
Subjects:
Electromagnetic radiation
Inhomogeneous media
Mathematical analysis
Maxwell's equations
Propagation
Wave equations
Wave propagation
Online Access:Get full text
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Summary:We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability \(\mu (\mathbf{r}) \) and permittivity \(% \epsilon (\mathbf{r}) \) to study the wave propagation. The general form of the wave equation is derived and by virtue of some physical assumptions, including \(\mu \) and \(\epsilon \) as functions of \(z,\) the equation has been simplified. Finally by introducing a smooth step dielectric variable we solve the wave equation in the corresponding medium which is in conform with the well known results. Exact double-layer solution in analytic form has been given in terms of the Heun functions.
ISSN:2331-8422
DOI:10.48550/arxiv.1303.3264