Vol. 3, issue 12, article # 2

pdf Shishakov K. V., Shmalgausen V. I. Polynomial expansion of atmospheric aberrations. // Atmospheric and oceanic optics. 1990. V. 3. No. 12. P. 1129-1132.
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Abstract:

The problem of choosing the optimal orthonormalized basis functions for the reconstruction of atmospheric aberrations from measurements is studied. A system of polynomials that makes it possible to decompose the aberrations for annular receiving apertures is proposed. It is shown that for a circular aperture the error in reproducing the wavefront with these polynomials is approximately 10% smaller than that obtained with Zernike polynomials.