Propagation of electromagnetic waves in linear media and pseudo-hermiticityA. Mostafazadeh1 and F. Loran2
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 in final form 2 November 2007; published January 2008
published online 29 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.
03.50.De - Classical electromagnetism, Maxwell equations.
41.20.Jb - Electromagnetic wave propagation; radiowave propagation.
02.70.Hm - Spectral methods.
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