Numerical simulation of filamentation in laser-plasma interactions

Numerical studies of beam filamentation in laser-produced plasma are presented. This involves the numerical solution of the parabolic wave equation. known as the Schrodinger equation, coupled with the thermal transport equations for both ions and electrons, in two dimensions. The solutionof the resultingequationwith non-linear refractive index due to thermal and pondermotive forces. shows self-focusing and a variety of strong aberration effects. Intensity amplification at the final focus is found to be between one and two orders of magnitude greater than the initial beam intensity, governed in general by diffraction and aberration effects within the beam.