Propagation of transversely bounded nonlinear electromagnetic pulses through periodic media

Nonlinear propagation of optical pulses through the periodic structure with and without defects is investigated numerically. A stack of alternating linear and cubically nonlinear layers of submicron thicknesses is considered. The simulations are based on a modified equation for the pulse envelope and modified boundary conditions, where diffraction of the pulse has been taken into account. The results of simulations have been demonstrated an essential influence of defects within the periodic structure on the nonlinear propagation of optical pulses, when the carrier frequency is chosen within the stop-band of the structure with the defect.