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Scattering of electromagnetic waves by two-dimensional dielectric lattices

A new method of calculating reflection and transmission of electromagnetic waves through a 2D or 3D periodic dielectric structure has been developed. This method employs the coupled- wave approach, similar to the one used for 1D periodic structures, and is most suitable for rectangular lattices with a rectangular dielectric center. Different orders of reflection and transmission have thus been found within the photonic band gaps as well as outside the gaps.