**Published:** Oct 1981

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**Source: **STP759-EB

A proper assessment of thermal lensing phenomena in high-average-power laser windows involves an evaluation of two optical distortion coefficients: (a) the coefficient X^{+}, which combines the effects of temperature-induced change in refractive index, surface bulging through constrained expansion, and photoelasticity averaged over the principal stress directions, and (b) the coefficient X^{−}, which exists only if there is stress birefringence. This evaluation can be performed for 111 — oriented and for randomly-oriented aggregates of cubic single crystals. It is emphasized that the calculations require correct inputs in terms of elastic and photo-elastic coefficients. Among presently contemplated key laser-window material candidates, only CaF^{2} can exhibit significant stress-birefringence effects; this is not so in the 111 orientation, which reflects a critical situation in the sense of Joiner, Marburger, and Steier. Windows made of KCl exhibit isotropic distortion patterns because the magnitude of the thermo-optic coefficient is such that the “small-birefringence condition,” X^{−}/X^{+} << 1, is satisfied. The results of interferometric testing substantiate these considerations.

**Keywords:**

Elastic coefficients, high-energy laser, interferometric testing, optical distortion, photoelastic coefficients, polycrystalline aggregate, stress birefringence, thermal lensing, window material

**Author Information:**

Klein, CA *Research Division, Raytheon Company, Waltham, Massachusetts*

**Paper ID:** STP37003S

**Committee/Subcommittee:** F01.02

**DOI:** 10.1520/STP37003S