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A time-dependent analytical thermal model of the temperature and the corresponding induced thermal stresses on the pump face of quasi- continuous wave (qcw) end-pumped laser rods is derived. We apply the model to qcw diode-end-pumped rods and show the maximum peak pump power that can be utilized without fracturing the rod. To illustrate an application of the model, it is applied to a qcw pumped Tm:YLF rod and found to be in very good agreement with published experimental results. The results indicate new criteria to avoid fracture when operating Tm:YLF rods at low qcw pump duty cycles.

Estimation of thermal fracture limits in quasi-continuous-wave end-pumped lasers through a time-dependent analytical model