Abstract
A plane-wave expansion method based on the effective medium theory for calculating the band structure of a two-dimensional photonic crystal is presented. Compared to two other plane-wave expansion methods, the present method has a faster convergence and advantage to calculate the band structure for complicated structures. Using the present fast method, a photonic crystal with a large complete bandgap Δ ω=0.1111(2 πc/ a) ( a is the lattice constant) is found. The designed photonic crystal is formed by a triangular array of elliptic air holes in GaAs medium.
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