Tensile stresses in ring-mounted glass lenses

Alson E. Hatheway

doi:10.1117/12.828587

10 September 2009 Tensile stresses in ring-mounted glass lenses

Alson E. Hatheway

Proceedings Volume 7424, Advances in Optomechanics; 742409 (2009) https://doi.org/10.1117/12.828587
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

Knowledgeable design of lens mounts using metal rings requires the ability to accurately predict the state of stress created in the surface of the glass lenses. Only this ability permits the engineer to be sure to keep the surface tensile stresses under an acceptable level. A review of the literature of optomechanics and structural mechanics fails to disclose a consistent procedure for calculating the stresses in the surface of the glass. The most popular method (Delgado and Hallinan) is a hybrid technique (employing both cylinders and spheres) that the author finds predicts surface tensile stresses that are unrealistically high. The author has gone back to the elastic theory, derived the differential equations for the ring-mounted-lens geometry and integrated them to calculate the state of stress in the glass surface under the influence of compressive loading from metal retaining rings. The results are presented as closed-form equations for the state of stress over the entire surface of the lens. The implications for the design of retaining ring mountings are discussed.

Citation Download Citation

Alson E. Hatheway "Tensile stresses in ring-mounted glass lenses", Proc. SPIE 7424, Advances in Optomechanics, 742409 (10 September 2009); https://doi.org/10.1117/12.828587

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