Subwavelength resolution on local eigenmodes of a photonic crystal resonator

In framework of perturbation theory for electromagnetic eigenwaves, the band, waveguide, surface and pure local states are investigated in finite 2D photonic resonators with several hundred elementary cells in both directions. A simple procedure to find the essential part of full solution for electromagnetic field 2D photonic crystals is proposed. The existence of a small parameter for electromagnetic modes in finite 2D PhCr is proven if sizes are sufficiently big. The spectrum and amplitude distribution for various types of 2D states are considered. Ways of controlled field redistribution inside the structure are analyzed for glass, silicon and silicon-glass 2D PhCr.