Wave-front reconstruction using a Shack-Hartmann sensor.

An analysis of the problem of wave-front reconstruction from Shack-Hartmann measurements is presented. The wave-front aberration is assumed to result from passage of the wave front through Kolmogorov turbulence. Limitations of using Zernike polynomials as an orthogonal basis for wave-front reconstruction are highlighted, and the advantage of using the Karhunen-Loeve functions for computing the higher-order modes of the wave front is shown.

[1]  Nicolas A. Roddier.  Atmospheric wavefront simulation using Zernike polynomials , 1990 .

[2]  Jérôme Primot,et al.  Deconvolution from wave-front sensing: a new technique for compensating turbulence-degraded images , 1990 .

[3]  J. C. Dainty,et al.  Knox–Thompson and triple-correlation imaging through atmospheric turbulence , 1988 .

[4]  A. Lohmann,et al.  Speckle masking in astronomy: triple correlation theory and applications. , 1983, Applied optics.

[5]  W. Southwell.  Wave-front estimation from wave-front slope measurements , 1980 .

[6]  Bobby R. Hunt,et al.  Matrix formulation of the reconstruction of phase values from phase differences , 1979 .

[7]  David L. Fried,et al.  Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements , 1977 .

[8]  R. Hudgin.  Wave-front reconstruction for compensated imaging , 1977 .

[9]  R. Noll.  Zernike polynomials and atmospheric turbulence , 1976 .

[10]  K. Knox,et al.  Recovery of Images from Atmospherically Degraded Short-Exposure Photographs , 1974 .

[11]  A. Labeyrie.  Attainment of diffraction limited resolution in large telescopes by Fourier analysing speckle patterns in star images , 1970 .

[12]  David L. Fried,et al.  Statistics of a Geometric Representation of Wavefront Distortion: Errata , 1965 .

[13]  F. Roddier.  V The Effects of Atmospheric Turbulence in Optical Astronomy , 1981 .

[14]  J. Herrmann,et al.  Least-squares wave front errors of minimum norm , 1980 .

[15]  J. Y. Wang,et al.  Modal compensation of atmospheric turbulence phase distortion , 1978 .

[16]  M. Warga.  Handbook of Optics , 1978 .