Title :
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.
fDate :
3/1/2007 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2006.890396
