Analytical modeling of a semi-infinite photonic crystal's excitation by plane electromagnetic wave

Pavel A. Belov; Constantin R. Simovski

doi:10.1117/12.560531

2 August 2004 Analytical modeling of a semi-infinite photonic crystal's excitation by plane electromagnetic wave

Pavel A. Belov, Constantin R. Simovski

Proceedings Volume 5508, Complex Mediums V: Light and Complexity; (2004) https://doi.org/10.1117/12.560531
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

This paper presents an analytical theory describing excitation of a semi-infinite electromagnetic crystal by plane electromagnetic wave. A three-dimensional crystal with orthorhombic elementary cell, formed by scatterers which can be substituted by point dipoles with known polarizability and fixed orientation is considered. The closed-form analytical formulae for the amplitudes of excited modes and Floquet harmonics of scattered field for the semi-infinite electromagnetic crystal are derived in terms of the infinite crystal eigenmodes wavevectors. Generalized Ewald-Oseen extinction principle for electromagnetic crystals under consideration has been formulated. It is extended for electromagnetic crystals of general kind characterized by three-periodical dielectric permittivity distribution.

Citation Download Citation

Pavel A. Belov and Constantin R. Simovski "Analytical modeling of a semi-infinite photonic crystal's excitation by plane electromagnetic wave", Proc. SPIE 5508, Complex Mediums V: Light and Complexity, (2 August 2004); https://doi.org/10.1117/12.560531

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