Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Model-based optimization of gravity sagging for a horizontally mounted optical flat

Not Accessible

Your library or personal account may give you access

Abstract

A practical and generalized model-based gravity sagging reconstruction method for a horizontally mounted optical flat is proposed. It is a practical and generalized approach based on the finite element method (FEM) model and real experiment results. Gravity sagging and misalignment parameters are retrieved by solving the multivariable unconstrained optimization problem with a least squares sense. Finally, the accurate true surface figure can be obtained by subtracting the optimized gravity sagging from the test result in the practical mounting state. A reasonable agreement with the outcomes of the FEM analysis and the real experiment is achieved through the proposed method. The effectiveness of the method was verified by comparison with the result measured by three-flat calibration. Experimental results demonstrated that this reverse optimization method can effectively reconstruct the sagging information due to gravity, is generalized, and is computationally efficient in practice.

© 2016 Optical Society of America

Full Article  |  PDF Article
More Like This
Precise determination of the zero-gravity surface figure of a mirror without gravity-sag modeling

Eric E. Bloemhof, Jonathan C. Lam, V. Alfonso Feria, and Zensheu Chang
Appl. Opt. 46(31) 7670-7678 (2007)

Three-flat test with plates in horizontal posture

Maurizio Vannoni and Giuseppe Molesini
Appl. Opt. 47(12) 2133-2145 (2008)

Iterative deformation calibration of a transmission flat via the ring-point support on a 300-mm-aperture vertical Fizeau interferometer

Yuntao Wang, Lei Chen, Chenhui Hu, Jia Chen, Zhengyu Zhang, Donghui Zheng, and Tuya Wulan
Opt. Express 29(3) 2984-3000 (2021)

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 Optica member, or as an authorized user of your institution.

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

Figures (17)

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

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

Tables (1)

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

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

Equations (8)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved