Extension of Coupled Mode Analysis to Periodic Large Arrays of Identical Waveguides for Photonic Crystals Applications

Author

Shteeman, Vladislav R. ; Boiko, Dmitri L. ; Kapon, Eli ; Hardy, Amos A.

Author_Institution

Dept. of Electr. Eng., Tel-Aviv Univ.

Volume

43

Issue

3

fYear

2007

fDate

3/1/2007 12:00:00 AM

Firstpage

215

Lastpage

224

Abstract

Coupled-mode theory, developed for several parallel waveguides, is extended to the case of infinite 2-D photonic crystals. Periodic boundary conditions, applied to a system of coupled identical waveguides, are used to compute the photonic band structures. This approach is shown to be more efficient than the usual numerical methods when tested on finite, but large-sized, arrays. Photonic crystals made of single-mode and multimode waveguide arrays are examined

Keywords

coupled mode analysis; optical arrays; optical waveguide theory; photonic band gap; photonic crystals; 2-D photonic crystals; coupled mode analysis; parallel waveguide arrays; periodic boundary conditions; periodic large arrays; photonic band structures; Boundary conditions; Coupled mode analysis; Maxwell equations; Optical surface waves; Optical waveguide theory; Optical waveguides; Periodic structures; Photonic crystals; Transmission line matrix methods; Waveguide theory; Band structure; Bloch function; coupled mode theory; photonic crystal;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2006.890396

Filename

4084611