NUMERICAL-METHOD FOR LOCALIZED DEFECT MODES IN PHOTONIC LATTICES

We formulated a numerical method to calculate the eigenfrequencies and the eigenfunctions of localized defect modes in arbitrary photonic la ttices based on the simulation of the excitation process of the defect modes by a virtual oscillating dipole moment. We applied this method to a two-dimensional square lattice, and obtained excellent agreement with the experimental result by McCall et nl. [Phys. Rev. Lett. 67, 20 17 (1991)]. We also found that localized defect modes of all possible symmetries appear when we change the dielectric constant of the defect , and we investigated their eigenfunctions in detail.