Twyman effects in thin curved optics

John C. Lambropoulos

doi:10.1117/12.2279833

16 October 2017 Twyman effects in thin curved optics

John C. Lambropoulos

Proceedings Volume 10448, Optifab 2017; 104480V (2017) https://doi.org/10.1117/12.2279833
Event: SPIE Optifab, 2017, Rochester, New York, United States

Abstract

The Twyman effect refers to the fact that, when a thin optical plate has one side ground, the plate bends with the ground side becoming convex, i.e. as if the ground side is in a residual compressive stress. Such deformation often shows up as “power” on form measurements of the other (usually polished) plate surface. For thin flat optics, Twyman effects become important at aspect ratios of 1:25 or thinner. In this case, the optic bends throughout its surface with a constant curvature, i.e. bending extends over the whole surface. Here we discuss Twyman effects for mildly or highly curved thin axisymmetric optics such as cylinders, spheres, and shallow lenses or mirrors. We also outline extensions to more complex geometries, such as ogives. We show that the deformation in thin curved optics is significantly different from flat plates: In curved optics, deformation consists of a simple stretching contribution, valid over the largest portion of the optic, plus a complex, spatially-dependent bending contribution in a boundary layer, valid near the free edges of the optic.

Citation Download Citation

John C. Lambropoulos "Twyman effects in thin curved optics", Proc. SPIE 10448, Optifab 2017, 104480V (16 October 2017); https://doi.org/10.1117/12.2279833

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