Vol. 19, issue 09, article # 10

Bezuglov D.A., Zabrodin R.A. Method of flexible adaptive piezoceramic mirror approximation by a limited number of Zernike polynomials. // Atmospheric and oceanic optics. 2006. V. 19. No. 09. P. 729-733.
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Abstract:

A minimization method for Zernike polynomials is developed and investigated by the example of a piezoceramic mirror. The method takes into account the geometrical characteristics of response functions and the contribution of each polynomial to the final error of the phase front approximation according to statistics of phase fluctuations. To approximate aberrations of the turbulent atmosphere and response functions, the basis of Zernike polynomials close to the optimum is used. The approach suggested allows one to simplify essentially the construction of the phase front sensor: to reduce the number of its channels in low-order adaptive optical systems.

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