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Two-dimensional Green's function and local density of states in photonic crystals consisting of a finite number of cylinders of infinite length

Abstract

Exact theory of multipole expansions was used to construct two-dimensional Green's function and to compute the local density of states (LDOS) in photonic crystals. Spatial integration was also used to obtain the total density of states (DOS) for a finite structure. The analysis showed that the LDOS decreased exponentially inside the crystals for frequencies within photonic band gap.

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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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