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The paper summarizes the wavefront approximation with modal orthogonal Zernike polynomials. Key aspects of the phase conjugation algorithm are described with Shack-Hartmann wavefront sensor implementation. The phase conjugation algorithm is considered for fixed aberrations reconstruction for individual Zernike modes by piezoelectric deformable mirror. The criteria of the reconstruction of Zernike polynomials are investigated and chose as maximal control voltages of the deformable mirror and residual mean square error that should not exceed λ/14 in correspondence with Marechal criterion. The performance of the algorithm was tested with the 62-electrode bimorph deformable mirror on the diagnostic setup based on the closed-loop adaptive optical system. The reproduction of the first 35 Zernike polynomials in Wyant notation was investigated.

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Modal Wavefront Reconstruction of Fixed Aberrations for Piezoelectric Deformable Mirrors

  • 会议论文

  • 发表日期：

    2026年

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  • V. Toporovsky,
  • I. Galaktionov

摘要

The paper summarizes the wavefront approximation with modal orthogonal Zernike polynomials. Key aspects of the phase conjugation algorithm are described with Shack-Hartmann wavefront sensor implementation. The phase conjugation algorithm is considered for fixed aberrations reconstruction for individual Zernike modes by piezoelectric deformable mirror. The criteria of the reconstruction of Zernike polynomials are investigated and chose as maximal control voltages of the deformable mirror and residual mean square error that should not exceed λ/14 in correspondence with Marechal criterion. The performance of the algorithm was tested with the 62-electrode bimorph deformable mirror on the diagnostic setup based on the closed-loop adaptive optical system. The reproduction of the first 35 Zernike polynomials in Wyant notation was investigated.