| Issue |
EPL
Volume 81, Number 1, January 2008
|
|
|---|---|---|
| Article Number | 10007 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/81/10007 | |
| Published online | 29 November 2007 | |
Propagation of electromagnetic waves in linear media and pseudo-hermiticity
1
Department of Mathematics, Koç University - Sariyer 34450, Istanbul, Turkey
2
Department of Physics, Isfahan University of Technology - Isfahan, Iran
Received:
7
July
2007
Accepted:
2
November
2007
We express the electromagnetic field propagating in an arbitrary time-independent non-dispersive medium in terms of an operator that turns out to be pseudo-Hermitian for Hermitian dielectric and magnetic permeability tensors 
and 
. We exploit this property to determine the propagating field. In particular, we obtain an explicit expression for a planar field in an isotropic medium with 
and 
varying along the direction of the propagation. We also study the scattering of plane waves due to a localized inhomogeneity.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 41.20.Jb – Electromagnetic wave propagation; radiowave propagation / 02.70.Hm – Spectral methods
© EPLA, 2008
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