I found the solution to the heat equation in this article and I calculated numerically using Matlab.

I show the solution of the heat equation for an absorbing fused silica medium.

 - oscillating pump gaussian beam size 70micron

 - oscillation frequency 430Hz

 - absorbing thickness 10micron

 - absorbed power 0.1mW

 - fused silica thermal parameters

 - scale in Kelvin