The efficiency of solid-state laser amplifiers can be improved significantly by using an absorbing edge cladding on the laser slab to reduce parasitic light oscillation within the slab. An analytic solution for the conduction and thermal stress problem in a simply supported cladding has been developed for a periodic incident-light energy source in order to evaluate the influence of amplifier design variables on cladding stress. An approximate relationship between pulse frequency and the absorptivity corresponding to a minimum difference in thermally induced stresses is shown to be in agreement with this solution.

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