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A comparative investigation of high-performance nonlinear, homogeneous and periodic, perfectly matched layers (PMLs) for the termination of two-dimensional (2-D) nonlinear photonic bandgap waveguides is conducted. The absorbing configurations are combined with an appropriate Z-transform-based finite difference time domain (FDTD) technique for the numerical treatment of the nonlinear materials. As in the linear case, a remarkable reduction of the reflected waves is achieved when the periodic dielectric motif of the waveguide is continued inside the absorbing layers.
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Kosmidou et al. (2003) studied this question.
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