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Analytical Solution for the Actuators Influence Functions of a Circular Deformable Mirror with Free Edge under Concentrated Loads

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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

An analytical solution for the problem of deflection of a thin circular plate (substrate) of a deformable mirror with free edge upon the impact of one of actuators concentratedly acting on the plate and resting of their other ends on an infinitely rigid base is obtained. The solution is based on the application of the integral transforms and takes into consideration the kinematic pairs between the plate and actuators, which are deformed according to Hooke’s law. The analytical solution is compared with the finite element method solution in the ANSYS software. The obtained result can be used to optimize actuators pattern and control of circular deformable mirrors in the applications of adaptive optics.

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Authors and Affiliations

  1. LUCH Research and Production Association, Research and Development Institute, 142103, Podolsk, Moscow oblast, Russia

    D. A. Yagnyatinskiy & V. N. Fedoseyev

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

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Yagnyatinskiy, D.A., Fedoseyev, V.N. Analytical Solution for the Actuators Influence Functions of a Circular Deformable Mirror with Free Edge under Concentrated Loads. Optoelectron.Instrument.Proc. 57, 60–69 (2021). https://doi.org/10.3103/S8756699021010131

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  • DOI: https://doi.org/10.3103/S8756699021010131

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