Open AccessResearch on elastic modes of circular deformable mirror for adaptive optics and active optics corrections
Author(s) -
Hairen Wang,
Mingzhu Zhang,
Yingxi Zuo,
Xianzhong Zheng
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.000404
Subject(s) - zernike polynomials , deformable mirror , adaptive optics , optics , bimorph , physics , wavefront , piston (optics) , geometrical optics , active optics , boundary value problem , physical optics , piezoelectricity , acoustics , quantum mechanics
In this paper, an elastic mode method of deformable mirror is proposed to decompose arbitrary wave-front errors of adaptive optics system. The elastic modes are derived with an analytical method of linear piezoelectricity based on a bimorph piezoelectric deformable mirror (BPDM), and the three-dimensional formulas of elastic modes are presented. Here a BPDM with an aperture of 165 mm as an example is numerically studied. Two different kinds of dynamic boundary conditions are considered, and the dependence of the elastic modes aberrations upon the orders and rotational symmetries is evaluated. Besides, a comparative study for elastic mode and Zernike polynomials is presented in the numerical analysis. The results have demonstrated that the elastic mode method can be not only used instead of Zernike polynomials, but also more effective to decompose arbitrary wave-front errors of a deformable mirror. Furthermore, finite element analysis method is used to validate the analytic method. The conclusions have shown reasonably consistent results between the two methods.