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Pseudo-Hermiticity and electromagnetic wave propagation: The case of anisotropic and lossy media
Authors:Ali Mostafazadeh  Giuseppe Scolarici
Institution:Department of Mathematics, Koç University, 34450 Sar?yer, Istanbul, Turkey
Abstract:Pseudo-Hermitian operators can be used in modeling electromagnetic wave propagation in stationary lossless media. We extend this method to a class of non-dispersive anisotropic media that may display loss or gain. We explore three concrete models to demonstrate the utility of our general results and reveal the physical meaning of pseudo-Hermiticity and quasi-Hermiticity of the relevant wave operator. In particular, we consider a uniaxial model where this operator is not diagonalizable. This implies left-handedness of the medium in the sense that only clockwise circularly polarized plane-wave solutions are bounded functions of time.
Keywords:Pseudo-Hermitian operator  Electromagnetic wave propagation  Anisotropic media  Active media
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