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Band gaps in multicomponent photonic crystals: splitting effects and the inverse design problem

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Abstract

The influence of dielectric and structural parameters of photonic crystals on conditions of (hkl) stop band switching and splitting effects is considered. Splitting effects play a key role in selective control of photonic stop bands, i.e., the possibility to control light fluxes propagating at different wavelengths. Detailed studies of splitting effects in three-component photonic crystals with the face-centered-cubic lattice formed from coated spheres are reported. The calculations performed in the framework of the analytical model based on analysis of the scattering form factor are given. It is shown that in contrast to traditional numerical methods used in calculations of photonic properties of a periodic structure, the analytical approach allows one to solve the inverse design problem, i.e., to infer structural photonic crystal parameters from desired photonic properties.

© 2009 Optical Society of America

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