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Previously published theory providing means for estimating contact stresses in lenses due to axial mounting constraints is extended to allow similar calculations for mechanically- clamped prisms. The results can be compared to 'rule-of-thumb' survival or operational tolerances on compression contact stress for the applicable optical material to determine if a given mounting design appears adequate or if more precise methods, such as finite element analysis and statistically- derived tolerances, should be applied. Examples are given to illustrate typical applications of this new theory.
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Paul R. Yoder Jr., "Mounting-induced contact stresses in prisms," Proc. SPIE 3429, Current Developments in Optical Design and Engineering VII, (29 October 1998); https://doi.org/10.1117/12.328527