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2 August 2004Analytical modeling of a semi-infinite photonic crystal's excitation by plane electromagnetic wave
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.
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Pavel A. Belov, 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