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Electromagnetic wave propagation through inhomogeneous material layers · arXivDesk

1303.3264Mar 13, 20138 pages, 2 figures, final version, accepted for publication in Journal of Electromagnetic Waves and Applications

Electromagnetic wave propagation through inhomogeneous material layers

S. Habib Mazharimousavi, Ashkan Roozbeh, M. Halilsoy

General Physics

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Abstract

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

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We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability μ(r) and permittivity % ε(r) to study the wave propagation. The general form of the wave equation is derived and by virtue of some physical assumptions, including μ and ε as functions of z, the equation has been simplified.

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The paper addresses: Electromagnetic wave propagation through inhomogeneous material layers.
We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability μ(r) and permittivity % ε(r) to study the wave propagation.

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Author comment: 8 pages, 2 figures, final version, accepted for publication in Journal of Electromagnetic Waves and Applications