Numerical study on localized defect modes in two-dimensional triangular photonic crystals

The eigenfrequencies and eigenfunctions of localized defect modes in two-dimensional triangular photonic crystals composed of circular dielectric rods were calculated by means of the numerical simulation of the radiation process of a virtual oscillating dipole moment. In addition to the excellent agreement between our result and the experimental observation by Smith et al. [J. Opt. Soc. Am. B 10, 314 (1993)], we could evaluate the dependence of the eigenfrequency on the size of the supercell used in the numerical calculation. The result was also compared with that of the plane-wave expansion method.