Temperature distribution and stress analysis of end pumped lasers under Gaussian pump profile

Modified modeling of thermal effects within a dual end-pumped cylindrical shape laser medium was presented. The temperature distribution and the maximum hoop stress were determined by solving the heat conductance equation in a cylindrical medium. Two different incident beams of 0.6 mm waist radii were suggested, namely, effective and the Gaussian beam radii, where the effective beam radius is smaller by a factor of 2 than the Gaussian beam radius. Under these considerations, the radial temperature difference due to an effective beam radius was found to be 23% higher than that for a Gaussian beam radius. The calculations show that the pump power does not affect the location of the maximum hoop stress as the spot does. A discrepancy within 1% was obtained by comparing the obtained results with the experimental work in the literature.