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26 April 2008 Electromagnetic eigenwaves in metastructures: perturbation theory method
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The perturbation theory (PT) for electromagnetic eigenwaves in finite-finite 2D metamaterials is developed. A simple procedure to find the essential part of full solution for electromagnetic field 2D photonic crystals (PhCr) is proposed. The existance of PT small parameter for electromagnetic modes in finite 2D PhCr is proven if sizes are sufficiently big. The spectrum and amplitude distribution for several types of 2D states: band, waveguide, surface and pure local states are considered for PhCr binary samples counting several hudred elementary cells in both directions. Ways of controlled field redistribution inside the structure are analyzed for glass, silicon and silicon-glass 2D PhCr.
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Eugene Ya. Glushko, Alexander E. Glushko, Vladimir N. Evteev, and Alexander N. Stepanyuk "Electromagnetic eigenwaves in metastructures: perturbation theory method", Proc. SPIE 6988, Nanophotonics II, 69880J (26 April 2008);

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