Multilayered optical windows: strains, stresses, and curvature

Claude A. Klein

doi:10.1117/12.354629

26 July 1999 Multilayered optical windows: strains, stresses, and curvature

Claude A. Klein

Proceedings Volume 3705, Window and Dome Technologies and Materials VI; (1999) https://doi.org/10.1117/12.354629
Event: AeroSense '99, 1999, Orlando, FL, United States

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.

Citation Download Citation

Claude A. Klein "Multilayered optical windows: strains, stresses, and curvature", Proc. SPIE 3705, Window and Dome Technologies and Materials VI, (26 July 1999); https://doi.org/10.1117/12.354629

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
16 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Coating

Thin films

Diamond

Zinc

Chemical vapor deposition

Multilayers

Sapphire

Show All Keywords

Keywords/Phrases

Search In:

Publication Years