Localized Green’s Functions for a Two-Dimensional Periodic Material
We describe a method for the calculation of Green’s functions for an array of dielectric cylinders. The method is to first construct quasi-periodic Green’s functions, with Bloch vector kB. This function also obeys the appropriate electromagnetic boundary conditions on the surface of each cylinder. The Green’s function for a single source in the array can then be calculated by averaging the quasi-periodic result over the Brillouin zone.
KeywordsGreen’s functions photonic crystals defects Bloch functions
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