Title :
Subwavelength resolution on local eigenmodes of a photonic crystal resonator
Author :
Glushko, Eugene Ya ; Evteev, Vladimir N. ; Stepanyuk, Alexander N.
Author_Institution :
Photonics Lab., NAS of Ukraine, Kiev
fDate :
Sept. 29 2008-Oct. 4 2008
Abstract :
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.
Keywords :
eigenvalues and eigenfunctions; localised states; optical Kerr effect; perturbation theory; photonic crystals; surface states; Kerr nonlinearity; Si; Si-JkJk; amplitude distribution; band state; electromagnetic eigenwaves; field redistribution; finite 2D photonic resonators; macroporous materials; perturbation theory; photonic crystal resonator local eigenmodes; pure local state; silicon photonic crystal; silicon-glass photonic crystal; subwavelength resolution; surface state; waveguide state; Crystalline materials; Electromagnetic fields; Electromagnetic scattering; Electromagnetic waveguides; Geometry; Glass; Optical reflection; Optical resonators; Periodic structures; Photonic crystals; 2D structures; Kerr nonlinearity; Perturbation theory; eigenvalue problem; field distribution; macroporous materials; photonic crystals;
Conference_Titel :
Advanced Optoelectronics and Lasers, 2008. CAOL 2008. 4th International Conference on
Conference_Location :
Crimea
Print_ISBN :
978-1-4244-1973-9
Electronic_ISBN :
978-1-4244-1974-6
DOI :
10.1109/CAOL.2008.4671882
