Evaluation of the wavefront distortion compensation efficiency with high-resolution piezoelectric deformable mirrors by reproducing orthogonal Zernike polynomials

Toporovskiy, V.V., Galaktionov I.V., Abdulrazak S.H., Kudryashov, A.V.

For Russian citation (Opticheskii Zhurnal):

Топоровский В.В., Галактионов И.В., Абдулразак С.Х., Кудряшов А.В. Оценка эффективности компенсации искажений волнового фронта пьезоэлектрическими деформируемыми зеркалами с высоким пространственным разрешением управляющих элементов путем воспроизведения ортогональных полиномов Цернике // Оптический журнал. 2025. Т. 92. № 1. С. 3–12. http://doi.org/10.17586/1023-5086-2025-92-01-3-12

Toporovsky V.V., Galaktionov I.V., Abdulrazak S.Kh., Kudryashov A.V. Evaluation of the wavefront distortion compensation efficiency with high-resolution piezoelectric deformable mirrors by reproducing orthogonal Zernike polynomials [in Russian] // Opticheskii Zhurnal. 2025. V. 92. № 1. P. 3–12. http://doi.org/10.17586/1023-5086-2025-92-01-3-12

For citation (Journal of Optical Technology):

Abstract:

Subject of study. Piezoelectric deformable mirrors of the bimorph and the piezoactuator type with high spatial resolution of control elements. Aim of study. Suppression of the atmospheric turbulence effects influence on the laser radiation wavefront by wavefront correctors with modal and local response functions of control elements through the reproduction of Zernike polynomials. Method. Using a Shack–Hartmann wavefront sensor, the coefficients of the Zernike polynomials were analyzed. The values of the maximum control voltage and the residual standard deviation were used as a criterion for the reproduction efficiency. Main results. The used piezoelectric wavefront correctors of the bimorph type make it possible to reproduce Zernike polynomials up to the 7th order in the Wyant classification, while the deformable mirror of the piezoactuator type was able to reconstruct Zernike polynomials up to the 8th order. In this case, the bimorph mirror compensates for largescale aberrations of the wavefront with high amplitude in comparison with the piezoactuator one. However, the piezoactuator wavefront corrector reproduces high-order aberrations with greater amplitude. Practical significance. The results of the study of deformable mirrors of the bimorph and piezoactuator type obtained in this work can be used in the field of correction of large- and small-scale aberrations of laser radiation, propagated through the atmospheric turbulence.

Keywords:

adaptive optics, piezoelectric deformable mirrors, Zernike polynomials, Shack– Hartmann wavefront sensor

OCIS codes: 230.4040, 220.1080, 010.1285

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