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arXiv · 1004.1904

Pseudo-Hermiticity and Electromagnetic Wave Propagation: The case of anisotropic and lossy media

A. Mostafazadeh·G. Scolarici
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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.

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A. Mostafazadeh, G. Scolarici. 2010-04-12. Pseudo-Hermiticity and Electromagnetic Wave Propagation: The case of anisotropic and lossy media. https://doi.org/10.1016/j.physleta.2010.04.008

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