A New Accurate Finite-Difference Scheme for the Thermal Analysis of One-Dimensional Microspheres Exposed to Ultrashort-Pulsed Lasers

Abstract

Ultrashort-pulsed lasers with pulse durations of the order of subpicoseconds to femtoseconds possess exclusive capabilities in limiting the undesirable spread of the thermal process zone in the heated sample. Parabolic two-step micro heat transport equations have been widely applied for thermal analysis of thin metallic films exposed to ultrashort laser pulses. In this study, we develop a higher-order-accurate compact finite-difference scheme for solving the heat transport equations in a one-dimensional microsphere exposed to ultrashort-pulsed lasers, where the boundary is assumed to be thermally insulated. The method is illustrated by two numerical examples.