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Surface and bulk laser damage probability distribution functions are derived for a Gaussian beam and a power-law defect ensemble. Closed-form solutions are derived and plotted for six and three values of the defect ensemble parameter p, respectively, in the surface and bulk damage distribution functions. The derived degenerate (p = 1) and non-degenerate (p = 0) bulk damage equations are least-squares fitted to measured laser damage statistics in PMMA. The results show that the power law defect ensemble is a reasonable description of the defects in the damage-tested PMMA and that the ensemble is more degenerate in character than uniform.
University of Missouri - Columbia, Columbia, MO