Theoretical study of transient thermal conduction and temperature distribution generated by pulsed laser

Abstract.

Studied in this paper is the problem of transient thermal conduction and temperature distribution generated by laser pulses in a planar sample. Both of the classical parabolic and the hyperbolic equations of heat transport have been solved analytically and numerically, and the results indicate that the correction term of a finite thermal propagation velocity included in the hyperbolic equation can be ignored in the normal case. However, under some special conditions, such as in low-temperature or in a short-transient process, the influence of the propagation term must be considered. In these cases, the thermal conduction will behave as an attenuated wave motion.