Analytical model for temperature distribution of an end diode-pumped laser slab with Robin boundary conditions by Green's function method

In this paper, an analytical model is introduced for temperature distribution of an end diode-pumped laser slab by Green's function method. To solve the heat equation, Robin boundary conditions are considered because four lateral faces of the slab are cooled by water. An analytical model is extracted for single and dual end-pumping configuration. For an example, the 2D and 3D temperature distributions are plotted and our analytical model is validated by numerical solution based on the finite element method (FEM). The results show that our model has very good agreement with numerical solution. Furthermore, dependence of the temperature distribution on absorbed pump power is shown. (paper)