A new control algorithm for bimorph mirrors

Author

Chellabi, A. ; Stepanenko, Y. ; Dost, S.

Author_Institution

Dept. of Mech. Eng., Victoria Univ., BC, Canada

Volume

1

fYear

1995

fDate

22-25 Oct 1995

Firstpage

569

Abstract

A new control algorithm for bimorph mirrors is presented. The method is based on wave-front presentation by Zernike polynomials and application of a specific least square optimization technique for calculation of the control voltages. A complete control algorithm utilises the above-mentioned principles has been developed in application to bimorph deformable mirrors. The influence function matrix is calculated analytically and depends only on the electrode pattern and the set of surface-matching points and therefore, does not need to be recalculated for each surface function. The algorithm provides an accurate wave-front fitting by the deformable mirror surface in the least-square sense, and allows one to avoid the problems associated with the “one-to-one” control scheme, as it has been demonstrated by computer simulation of a bimorph mirror optical system with 11 control electrodes

Keywords

adaptive optics; least squares approximations; mirrors; optimisation; physical instrumentation control; polynomials; shape control; voltage control; Zernike polynomials; bimorph mirrors; control voltages; deformable mirrors; electrode pattern; influence function matrix; least square optimization technique; surface-matching points; wave-front presentation; Electrodes; Least squares methods; Mirrors; Optical control; Optical surface waves; Optimization methods; Pattern analysis; Polynomials; Surface fitting; Voltage control;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 1995. Intelligent Systems for the 21st Century., IEEE International Conference on

Conference_Location

Vancouver, BC

Print_ISBN

0-7803-2559-1

Type

conf

DOI

10.1109/ICSMC.1995.537823

Filename

537823