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Symmetry properties of two-dimensional photonic crystals

Authors: C. Andreani, M. Agio, and S. Botti

Ref.: Electrons and Photons in Solids (Quaderni della Scuola Normale Superiore di Pisa, Pisa, Italy), 71 (2001)

Abstract: A symmetry analysis of photonic bands in two-dimensional photonic crystals with triangular structure is performed starting from the empty lattice, in analogy with the crystal classification of electronic states in solids. The reflectivity of a 2D photonic crystal is calculated is calculated and is shown to yield the dispersion of photonic bands. The relevant selection rules are derived from symmetry considerations.

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