Anomalous giant soliton formation near boundary of nonlinear layered PC and its propagation across the PC

Abstract

We demonstrate a possibility of oscillating soliton formation near the interface between nonlinear photonic crystal (PC) and ambient medium. This soliton is being formed from the initial distribution of intensity distribution under the perturbation of transverse component of wave vector of optical beam. The main feature of considered soliton is that only its part localizes in the PC and spreads over a few layers with regular intensity profile of beam. Its other part localizes near the boundary outside the PC. Hence, one can tell about the light energy localization at the lateral surface of the PC. Intensity profile of soliton and maximum intensity of soliton localized near the interface of the PC depends on initial intensity distribution of optical beam in PC. However, the initial intensity distribution does not influence essentially on the appearance of interface soliton. To proof this we consider three different kinds of initial beam profile which belongs to the central area of the nonlinear PC and spreads over a number of layers. The soliton can propagate across the layers many times without leaving the PC. After its achievement of PC boundary the soliton leaves partly the PC and then comes back in PC. Then, soliton propagates to other PC boundary. This process can be repeated many times. We also investigate the influence of initial beam profile on the laser light propagation.