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Proceedings Paper

Multilayered optical windows: strains, stresses, and curvature
Author(s): Claude A. Klein
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Paper Abstract

Optical windows consisting of layers of different materials, or layers made by chemical vapor deposition, usually exhibit substantial residual stresses. These stresses are caused by growth strains, in addition to thermal strains, and originate from the bonding of the layers, which generates internal forces and moments that must be balanced to achieve mechanical equilibrium. For elastically isotropic structures, this leads to plane contraction/expansion accompanied by spherical deformation, thus resulting in a partial relaxation of the stresses. There is a vast amount of literature relating to this topic; analytical solutions have been proposed for thin films on a thick substrate, but a closed-form solution for multiple layers of arbitrary thickness has only been available since 1987 and has not yet been fully exploited. It is the purpose of this contribution to take advantage of Townsend's model for deriving 'user- friendly' equations that properly describe the strains, the stresses, and the curvature of coated optical window blanks.

Paper Details

Date Published: 26 July 1999
PDF: 16 pages
Proc. SPIE 3705, Window and Dome Technologies and Materials VI, (26 July 1999); doi: 10.1117/12.354629
Show Author Affiliations
Claude A. Klein, c.a.k. analytics, inc. (United States)


Published in SPIE Proceedings Vol. 3705:
Window and Dome Technologies and Materials VI
Randal W. Tustison, Editor(s)

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