## Abstract

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

© 1992 Optical Society of America

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