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Numeric-Analytical Calculation of Actuator Influence Functions of a Rectangular Deformable Mirror with Free Edges

  • APPLICATION OF LASERS AND OTHER QUESTIONS OF QUANTUM ELECTRONICS
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Abstract—

A new method for calculating the actuator influence functions of a rectangular deformable mirror with free edges in a model of concentrated loads is presented. The deflection function of the mirror is sought in the form of the Fourier series as an expansion into modes of natural vibrations of a thin rectangular plate with free edges. The vibration modes are calculated numerically using the finite element method. The resulting modes are substituted into the expressions for calculating the coefficients of the terms of the series used (partial sum). This solution is verified by comparing with the calculation of the influence functions fully based on the finite element method in ANSYS software. The result can be used for selection and optimization of the scheme for the actuator layout of rectangular and square deformable mirrors used in of adaptive optics problems.

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Authors and Affiliations

  1. LUCH Research and Production Association, Research and Development Institute, Joint-Stock Company, 142103, Podolsk, Moscow oblast, Russia

    D. A. Yagnyatinskiy & V. N. Fedoseyev

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  1. D. A. Yagnyatinskiy
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  2. V. N. Fedoseyev
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Correspondence to D. A. Yagnyatinskiy or V. N. Fedoseyev.

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Translated by N. Wadhwa

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Yagnyatinskiy, D.A., Fedoseyev, V.N. Numeric-Analytical Calculation of Actuator Influence Functions of a Rectangular Deformable Mirror with Free Edges. Bull. Lebedev Phys. Inst. 50 (Suppl 1), S114–S123 (2023). https://doi.org/10.3103/S1068335623130146

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