Multi-step Iterative Algorithm for Mathematical Modeling of Light Bullets in Anisotropic Media

摘要

To perform an analytical and numerical investigation of optical bullets in a focusing bulk waveguide with quadratic nonlinearity we use the well-known quasi-optical approach. We give an approximate soliton solution representing a two-component light bullet. To investigate numerically the regimes of the formation and propagation of two-component optical bullets we construct a conservative difference scheme. To realize the multi-dimensional nonlinear difference scheme we propose a multi-step effective iterative solver. This method allows us to carry out an accurate and efficient modeling of the considered processes.