Abstract

Under their own weight, large concave mirrors, such as used in telescopes and various research equipment, may elastically bend beyond tolerable limits. The problem of preventing harmful mirror deformations arises in full severity when gravity has a substantial component in the direction of the optical axis. The less serious case of gravity acting perpendicular to the optical axis has been dismissed by one author as harmless for mirror sizes up to 120 inches. However, disfigurations observed on much smaller vertically mounted mirrors are definitely traceable to elastic flexure by gravity. This paper briefly discusses the elastic deformation of an upright solid disk with a concave front surface and a plane back, supported along its edge by a distribution of radial forces which originate in the contact areas between disk and mount. The loss of image definition through flexure is related to the Fourier coefficients of the edge-pressure distribution in an explicit form simple enough as to permit the analysis of various types of mounts, as well as the synthesis of optimum mounting conditions. Numerical values and graphs are presented from which the optical effect can be appraised for different mirror shapes. The results are compared with observations made in practical tests.

© 1954 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Adjustable bipod flexures for mounting mirrors in a space telescope

Hagyong Kihm, Ho-Soon Yang, Il Kweon Moon, Jeong-Heum Yeon, Seung-Hoon Lee, and Yun-Woo Lee
Appl. Opt. 51(32) 7776-7783 (2012)

Adjustable flexure mount to compensate for deformation of an optic surface

Zhou Feng, Yu Jie, Wang Li-Ping, Li Yuan-Ming, Zhang Hai-Tao, Man Quan, Li Qiang, Bi Ran, Wang Hui, and Jin Chun-Shui
Appl. Opt. 58(34) 9370-9375 (2019)

Optimization of lightweight structure and supporting bipod flexure for a space mirror

Yi-Cheng Chen, Bo-Kai Huang, Zhen-Ting You, Chia-Yen Chan, and Ting-Ming Huang
Appl. Opt. 55(36) 10382-10391 (2016)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (4)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (41)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription