Numerical implementation of the model of femtosecond laser pulse impact on the glass in the nonlinear Maxwell equations approach

An implicit finite-difference scheme for the solution of the problem of interaction of femtosecond laser pulse with glasses is presented. The used model based on the nonlinear Maxwell equations supplemented by hydrodynamic equations for the free electron plasma. All main physical processes are taken into account. The axial symmetric geometry is used. The construction of the scheme takes the features of the problem into account. This makes the scheme very efficient. As an example of the application of the scheme the results of the modeling of interaction of the laser pulses of usual Gaussian shape with linear polarization and doughnut shape pulses with radial and azimuthally polarizations with glasses are presented. The significant differences in the interaction of this 3 type of the pulses with glasses are shown.