Abstract
The photonic band structures of 2-D photonic crystals consisting of cylindrical dielectric rods on a square and on a triangular lattice are computed by a layer-KKR method. The matrices involved in the present method are substantially smaller than those required for the plane-wave method. Unlike the KKR method, a root searching procedure is not needed. In addition, with this method, the attenuation lengths for frequencies within the forbidden bands are computed together with the band structure. Reflection and transmission characteristics of crystals of finite thicknesses, as well as defective and composite crystals, are also computed.
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