Rigorous modal analysis of two-dimensional photonic crystal waveguides
Article first published online: 17 SEP 2005
Copyright 2005 by the American Geophysical Union.
Volume 40, Issue 6, December 2005
How to Cite
2005), Rigorous modal analysis of two-dimensional photonic crystal waveguides, Radio Sci., 40, RS6S02, doi:10.1029/2004RS003192., , and (
- Issue published online: 17 SEP 2005
- Article first published online: 17 SEP 2005
- Manuscript Accepted: 25 MAR 2005
- Manuscript Revised: 11 FEB 2005
- Manuscript Received: 15 OCT 2004
- photonic crystal waveguides;
- mode guidance;
- lattice sums technique
 A rigorous approach for modal analysis of two-dimensional photonic crystal waveguides consisting of layered arrays of circular cylinders is presented. The mode propagation constants and the mode field profiles can be accurately obtained by a simpler matrix calculus, using the one-dimensional lattice sums, the T matrix of an isolated circular cylinder, and the generalized reflection matrices for a multilayered system. Numerical examples of the dispersion characteristics and field distributions are presented for lowest even and odd transverse electric modes of a coupled two-parallel photonic crystal waveguide with a square lattice of dielectric circular cylinders in a background free space.