Incident femtosecond pulse chirp influence on nonlinear localization of laser energy in layered photonic crystal

We investigate laser energy localization in a layered photonic crystal with Kerr nonlinear response in dependence of the wave front aberrations of an incident femtosecond laser beam (which are similar to the pulse chirp). Such kind of energy localization appears due to soliton formation in certain layers of photonic crystal. Layers position, in which a soliton appear, depend on the beam wave front aberrations and the incident beam intensity essentially. It is important to emphasize that a soliton occurs in separate layers. Therefore, its width must be less than a layer thickness. Consequently, an intensity of the incident beam must be greater than its crucial value. A process of energy localization strongly depends on relation between the wave packet carrier frequency and a frequency characterizing a photonic crystal. The problem under consideration is described by a nonlinear Schrodinger equation with respect to amplitude slowly varying in time. We investigate a femtosecond beam interaction with photonic crystal numerically and analytically.