Analytical solution for non-equilibrium heating of metallic surface: Volumetric and surface heat source considerations

This paper considers non-equilibrium energy transport in the solid due to short-pulse heating and presents an analytical solution for electron and lattice site temperature distributions inside the solid. The study is extended to include the solution of the governing energy equation for the volumetric and the surface heat sources. It is found that the electron temperature obtained from the volumetric heat source differs considerably from that corresponding to the surface heat source model; in which case, the electron temperature is higher for the surface heat source than for the volumetric heat source at the surface, despite the fact that the same value of peak intensity is used in both cases.