Abstract
This article reports an accurate analysis approach of finite element modeling and optical modeling. It has been used for design and analysis of many opto-mechanical systems such as large telescopes and laser systems. The approach is to represent mirror surface deformation derived from finite element analysis (FEA) by Zernike polynomials, such that the impact of deformation on optical system performance can be evaluated by optical design and analysis program. The methodology of shell-based and solid-based finite element modeling and the comparison of their results have been described in this paper. The result shows that the deformation of the light-weighted mirror designed by this approach fulfills the requirements of optical design. The simulation results of shell based FE model are in good agreement with those of solid based FE model.
Highlights
Large optical light-weighted mirrors have been increasingly applied in space-based telescope and high-energy laser applications
The code to transfer finite element node displacement to sag-displacement, or normaldisplacement for the mirror surface was written based on EXCEL, and the program to fit the deformed mirror surface to Zernike polynomial coefficients was written based on MatLab
The shell-based and solid-based FE models of the primary mirror have been established for comparison
Summary
Large optical light-weighted mirrors have been increasingly applied in space-based telescope and high-energy laser applications. For the high-energy laser systems, the weight of primary mirror will be even larger than the other components of full system. The light-weighted mirror have been design and fabricated with various core-cells [1,2,3,4,5,6,7,8,9]. The quilting deflection is an important issue for the selection of light-weighted cell that is related to the optimization design of a mirror. The quilting deflection due to polishing pressure is the minimum with honeycomb cell that compared to others light-weighted cell especially as the case of Zerodur mirror [3]. In this article, considering overall optical performance and manufacturing discussed in previous study [1,8,9], the mirror with honeycomb cell and open back structure were selected
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