Material evaporation with ultrashort laser exposure

Abstract

The task is to analyse the temperature distribution in the material under ultrashort laser irradiation. The mathematical model is built on the basis of a two-temperature model describing transition phenomena in a nonequilibrium electron gas and lattice with an ultrashort laser effect on the material. The vaporized body is considered as a thin plate and the problem is formulated as a system of one-dimensional boundary-value problems of the heat equation written for the electron and lattice components. The initial problem is reduced to solving a system of singularly perturbed boundary problems of the heat equation with nonlinear boundary conditions on moving boundaries, an approximate solution of which is obtained in the form of an asymptotic expansion of the solution in the Poincare sense in powers of small parameters.