Influence of Geometrical Parameters of Reduction on the Deformation of Working Surface of the Axisymmetric Mirrors

Valentin G. Kolobrodov, Dmytro V. Pozdniakov, Volodymyr M. Tiagur


Background. Weight reduction of mirrors is an important issue in the development of space-based optical systems. However, the study of the weight reduction influence on the mirror surface deformation of the axially symmetric mirrors is given little attention.

Objective. The aim of the paper is the analysis of the possibilities of axisymmetric mirror weight reduction by studying the geometrical parameters’ influence of reduction and fastening on the deformation of their working surfaces under the gravity influence.

Methods. The influence of various variants of the axisymmetric mirrors’ construction on their working surface deformation has been carried out by simulation in finite-element and optical analysis programs.

Results. The influence of design values, geometrical dimensions of reduction and fastening on the working surface deformation of axisymmetric mirrors is analyzed, and the recommendations for the application of various types of reduction are given. It is determined that hexagon holes should be used for less deformation, and for the greatest reduction of weight it is necessary to use circular cuts. Particular attention when designing reduction should be drawn to the mechanical part of the mount, as the deformation of the mirror very much depends on it.

Conclusions. In the process, the effect of geometrical parameters of reduction on the working surface deformation of axisymmetric mirrors was carried out. Using the obtained data it is possible to optimize the design of relief and fastening to obtain the minimum weight and deformation of the mirror working surface on the ground.


Zernike coefficients; Weight reduction of mirrors


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