Abstract
Using the least-squares spline approximation to analyze the photonic band structure,the dispersion parameters of a two-dimensional photonic crystal are quantitatively calculated.Considering the large bandwidth of an ultrashort pulse,average group velocity and average group velocity dispersion are achieved by introducing a weighting factor,which reveals the share of different frequency components.So the pulse evolution can be predicted theoretically.Propagation of ultrashort pulses through the photonic crystals is simulated by using the finite-difference time-domain method.The results of numerical simulations are well consistent with the theoretical predictions.This process for achieving dispersion parameters is valuable for designing photonic-crystal dispersion devices such as dispersion compensator,pulse compressor and pulse stretcher.
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