An approximate perturbation based method for fast calculation and investigation of complex-shaped twodimensional photonic crystals is presented. Both E- and H-polarizations are analyzed. Useful analytical formulas for calculating the dispersion relations are developed. The accuracy of the approximations is examined against numerical calculations, showing good match for a wide range of photonic crystal parameters. The present approach can be useful for the investigation of various physical effects inside photonic crystal structures as well as for the design of new photonic crystal devices.
|Number of pages||8|
|Journal||Journal of the Optical Society of America B: Optical Physics|
|State||Published - Dec 2010|