Calculate Band Structures PHC in presence of nonlinear Kerr effect

In this paper, we report the simulation results for impact of nonlinear Kerr effect on band structures of a two dimensional photonic crystal (2D-PhC) with no defect, a PhC based W1-waveguide (W1W), and also Coupled-Cavity Waveguides (CCWs). All PhC structres are assumed to a square lattice of constant a made of GaAs rods of radius r=0.2a, in an air background. The numerical simulation was performed using the nonlinear finite difference time domain (NFDTD) technique. To study the impact of Kerr effect on the photonic band structures, E-polarized lights of peak input intensities 0.5 GW-cm−2≤I≤25 GW-cm−2 have been used. The numerical results have shown that as the input light intensity increases, the band edges for all PhC waveguide structures considered experience red shifts. These numerical results for CCWs also show that the larger the light input intensity, the smaller is the corresponding maximum light group velocity