The finite-element method including simulated annealing algorithm is adopted for the analysis and optimization of photonic-crystal waveguiding structures. The dispersion relations of the photonic-crystal waveguides are found by solution of an eigenvalue equation. The waveguide structures including bends and branches are analyzed by use of a scattering formulation. The symmetry of the structure is exploited to classify the modes as well as to reduce the computations. Based on the transmission spectra of a waveguide’s bends and branches, a branch is optimized by use of the simulated annealing algorithm.
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Kim et al. (2004) studied this question.
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