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

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

2010-04-12

arxiv.org/abs/1004.1904v2

Phys. Lett. A 374, 2401-2405 (2010)

Physics

Quantum Physics

12 pages, Published Version

Scientific paper

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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