Modal wave-front reconstruction with Zernike polynomials and Karhunen–Loève functions

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 13, Issue 6, 1996, Pages 1218-1225

  Dai, Guang ming ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE OPTICS; ATMOSPHERIC TURBULENCE; ERROR ANALYSIS; FUNCTIONS; INTEGRATION; LEAST SQUARES APPROXIMATIONS; MEASUREMENT ERRORS; POLYNOMIALS; SENSORS; TELESCOPES;

KARHUNEN LOEVE FUNCTIONS; MODAL WAVEFRONT RECONSTRUCTION; SINGULAR VALUE DECOMPOSITION; SLOPE MEASUREMENT; STREHL RATIO; ZERNIKE POLYNOMIALS;

WAVEFRONTS;

EID: 0030164816     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.001218     Document Type: Article

References (20)

1. D. L. Fried, “Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements,” J. Opt. Soc. Am. 67, 370–375 (1977).
2. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 375–378 (1977).
3. R. J. Noll, “Phase estimation from slope-type wave-front sensors,” J. Opt. Soc. Am. 68, 139–140 (1978).
4. J. Herrmann, “Least-squares wave front errors with minimum norm,” J. Opt. Soc. Am. 70, 28–35 (1980).
5. R. Cubalchini, “Modal wave-front estimation from phase derivative measurements,” J. Opt. Soc. Am. 69, 972–977 (1979).
6. J. Herrmann, “Cross coupling and aliasing in modal wavefront estimation,” J. Opt. Soc. Am. 71, 989–992 (1981).
7. K. R. Freischlad and C. L. Koliopoulos, “Modal estimation of a wave front from difference measurements using the discrete Fourier transform,” J. Opt. Soc. Am. A 3, 1852–1861 (1986).
8. R. H. Hudgin, “Optimal wave-front estimation,” J. Opt. Soc. Am. 67, 378–382 (1977).
9. E. P. Wallner, “Optimal wave-front correction using slope measurements,” J. Opt. Soc. Am. 73, 1771–1776 (1983).
10. B. M. Welsh and C. S. Gardner, “Performance analysis of adaptive-optics systems using laser guide stars and slope sensors,” J. Opt. Soc. Am. A 6, 1913–1923 (1989).
11. M. C. Roggemann, “Optical performance of fully and partially compensated adaptive optics systems using leastsquares and minimum variance phase reconstruction,” Comput. Electron. Eng. 18, 451–466 (1992).
12. G.-m. Dai, “Modified Hartmann-Shack wavefront sensing and iterative wavefront reconstruction,” in Adaptive Optics in Astronomy, M. A. Ealey and F. Merkle, eds., Proc. SPIE 2201, 562–573 (1994).
13. P. Wintoft and G.-m. Dai, “Neural network for modal compensation of atmospheric turbulence,” in Image Reconstruction and Restoration, T. J. Schulz and D. L. Snyder, eds., Proc. SPIE 2302, 103–109 (1994).
14. R. J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976).
15. G.-m. Dai, “Modal compensation of atmospheric turbulence with the use of Zernike polynomials and Karhunen-Loveve functions,” J. Opt. Soc. Am. A 12, 2182–2193 (1995).
16. W. H. Southwell, “Wave-front estimation from wave-front slope measurements,” J. Opt. Soc. Am. 70, 998–1006 (1980).
17. J. Y. Wang and J. K. Markey, “Modal compensation of atmospheric turbulence phase distortion,” J. Opt. Soc. Am. 68, 78–86 (1978).
18. N. Roddier, “Atmospheric wavefront simulation using Zernike polynomials,” Opt. Eng. 29, 1174–1180 (1990).
19. D. L. Fried, “Probability of getting a lucky short-exposure image through turbulence,” J. Opt. Soc. Am. 68, 1651–1658 (1978).
20. G.-m. Dai, “Wavefront simulation for atmospheric turbulence,” in Image Reconstruction and Restoration, T. J. Schulz and D. L. Snyder, eds., Proc. SPIE 2302, 62–72 (1994).