We calculated the eigenfrequencies and eigenfunctions of localized electromagnetic modes brought about by line defects introduced into two-dimensional photonic lattices by means of the numerical simulation of their excitation process by a virtual oscillating dipole moment. In addition to quite excellent agreement with the experimental result by Lin et al. [Appl. Phys. Lett. 68, 3233 (1996)], we showed that the observed localized mode has B₂ spatial symmetry. We also obtained the dispersion relation of the one-dimensional impurity band, which can be easily compared with experiments.
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Sakoda et al. (1997) studied this question.
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