Localized Green's functions for a two-dimentional periodic material

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Solid Mechanics and its Applications vol 113: IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 2003, 1, pp. 181 - 190
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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 Greens functions, with Bloch vector kB. This function also obeys the appropriate electromagnetic boundary conditions on the surface of each cylinder. The Greens function for a single source in the array can then be calculated by averaging the quasi-periodic result over the Brillouin zone.
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