Abstract

This work explores the variable curvature mirror’s (VCM) elastic bending rules through modeling it as a thin elastic plate with an exponential thickness distribution actuated with a uniform pressure under simply supported boundary conditions. By using the small-parameter method, the general analytical expression of a plate’s deflection is worked out. The results calculated by the analytical solution are compared to the finite element analysis of a VCM model with the same specific parameters. We demonstrate that the two have a good correlation with the each other. This analytical solution is an effective way to predict a VCM’s deflection.

© 2019 Optical Society of America

Solving, analyzing, manufacturing, and experimental testing of thickness distribution for a cycloid-like variable curvature mirror

Xiaopeng Xie, Liang Xu, Yongjie Wang, Le Shen, Xuewu Fan, Wenhui Fan, Chuang Li, and Hui Zhao
Opt. Express 29(12) 18010-18025 (2021)

Influence functions of a thin shallow meniscus-shaped mirror

Luc Arnold
Appl. Opt. 36(10) 2019-2028 (1997)

Uniform-load and actuator influence functions of a thin or thick annular mirror: application to active mirror support optimization

Luc Arnold
Appl. Opt. 35(7) 1095-1106 (1996)

Elastic Deformation of Lightweight Mirrors

R. M. Richard and A. J. Malvick
Appl. Opt. 12(6) 1220-1226 (1973)

Active optics for high-dynamic variable curvature mirrors

Emmanuel Hugot, Marc Ferrari, Gérard R. Lemaitre, Fabrice Madec, Sébastien Vives, Elodie Chardin, David Le Mignant, and Jean-Gabriel Cuby
Opt. Lett. 34(19) 3009-3011 (2009)