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

fYear

2008

fDate

Sept. 29 2008-Oct. 4 2008

Firstpage

198

Lastpage

200

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CAOL.2008.4671882

Filename

4671882