Translator Disclaimer
Paper
28 January 2009 Theoretical and experimental study on the figuration of a flexible membrane mirror
Author Affiliations +
Abstract
Based on Karman's equation for symmetrical circular membrane and Qian's theory of circular membrane under the action of uniformly distributed loads in its central portion, the relationship between the curvature of the center cross section of a membrane mirror on a substrate of polyethylene terephthalate (PET) film and the external pressure, and the deviation between the surface shape of the membrane mirror and that of a paraboloid mirror with the same diameter and F/number have been calculated in this paper. The changes of the surface shape of the mirror under various initial boundary conditions and various external pressures applied on it have been analyzed theoretically. An experimental setup for the figuration of a membrane mirror in a diameter of 100mm has been designed and established. The pre-shape of the membrane, the negative air-pressured deformation and the electrostatic deformation were combined to shape a membrane mirror with a relative small curvature radius. The focal lengths of the mirror under different initial boundary condition and different external pressures have been measured and analyzed comparing to that of the theoretical one. The experimental results show the possibility of the method for the figuration of membrane mirrors.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ping Gao, Minxue Tang, Gengsheng Zhang, Xinhua Chen, Weimin Shen, and Jianjun Yu "Theoretical and experimental study on the figuration of a flexible membrane mirror", Proc. SPIE 7156, 2008 International Conference on Optical Instruments and Technology: Optical Systems and Optoelectronic Instruments, 71562N (28 January 2009); https://doi.org/10.1117/12.807110
PROCEEDINGS
10 PAGES


SHARE
Advertisement
Advertisement
RELATED CONTENT

Active optics for space applications: an ESA perspective
Proceedings of SPIE (August 07 2014)
Multilayer active shell mirrors for space telescopes
Proceedings of SPIE (July 22 2016)
Design of optical systems for large space telescopes
Proceedings of SPIE (September 08 1995)
A Very Large Space Telescope For Optical/UV Astronomy
Proceedings of SPIE (August 15 1980)
Line of sight methods of alignment
Proceedings of SPIE (September 02 2008)

Back to Top