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

Applied Optics
Haiyang QuanFan Wu

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.

References

Aug 24, 2006·Applied Optics·Ulf Griesmann
Feb 15, 2008·Applied Optics·I Powell, E Goulet
Apr 22, 2008·Applied Optics·Maurizio Vannoni, Giuseppe Molesini
Sep 1, 1993·Applied Optics·C Ai, J C Wyant
Jul 21, 2015·Optics Express·Haiyang QuanWeihong Song

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Citations

Jun 3, 2016·The Review of Scientific Instruments·A VivoR Barrett

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