An improved radial temperature model of a high-powered He–SrBr2 laser

When designing and modeling metal vapor and metal halide vapor lasers, the radial distribution of the gas temperature is found by solving the steady-state heat conduction equation for the internal tube at mixed boundary conditions. The volume power density is usually taken as a constant and the unknown value for the temperature of the inner wall is substituted by the measured temperature of the outer wall of the composite laser tube. In this paper, these inaccuracies are overcome. A general solution of the steady-state heat conduction problem has been suggested for an arbitrary volume power density. In order to determine the temperature of the inner wall, a complete model of the radial heat flow has been constructed. The resulting model has been applied in order to evaluate the gas temperature of a new high-powered strontium laser at different qualitative distributions of volume power density. The results have been compared with the known simple models. The presented model could be used on its own for existing and future lasers or as part of other types of theoretical or computer models.