Influence of atmospherically induced random wave fronts on diffraction imagery: A computer simulation model for testing image reconstruction algorithms

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

Volumn 7, Issue 4, 1990, Pages 653-671

  Barakat, Richard ^a   Beletic, James W ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84975661818     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.7.000653     Document Type: Article

References (42)

1. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, London, 1980).
2. H. H. Hopkins, Wave Theory of Aberrations (Oxford U. Press, London, 1950).
3. A. Cox, A System of Optical Design (Focal, New York, 1964).
4. R. Kingslake, Optical System Design (Academic, New York, 1983).
5. M. J. Eccles, M. E. Sim, and K. P. Tritton, Low Light Level Detectors in Astronomy (Cambridge U. Press, Cambridge, 1983).
6. C. D. Mackay, “Charge-coupled devices in astronomy,” in Annual Reviews of Astronomy and Astrophysics, (Annual Reviews, Palo Alto, Calif. 1986), Vol. 24, pp. 255-283.
7. A. Labeyrie, “Attainment of diffraction limited resolution in large telescopes by Fourier analyzing speckle patterns in star images,” Astron. Astrophys. 8,85-87 (1970).
8. F. Roddier, “Interferometric imaging in optical astronomy,” Phys. Rep. 170,97-166 (1988).
9. R. H. T. Bates, “Astronomical speckle imaging,” Phys. Rep. 90, 203-297 (1982).
10. E. H. Linfoot and R. C. Witcomb, “Random wavefront perturbations and telescopic star images,” Mon. Not. R. Astron. Soc. 158,199-231 (1972).
11. J. W. Beletic, “Comparison of Knox-Thompson and bispectrum algorithms for reconstructing phase of complex extended objects,” in High Resolution Imaging by Interferometry, F. Mer- kle, ed. (ESO, Garching, 1988).
12. R. Barakat, “The influence of random wavefront errors on the imaging characteristics of an optical system,” Opt. Acta 18,683-694 (1971).
13. E. Blackman and R. Barakat, “Statistics of the optical transfer function: correlated random amplitude and random phase effects,” J. Opt. Soc. Am. 69,544-548 (1979).
14. R. Barakat, “The computation of integrals encountered in optical diffraction theory,” in The Computer in Optical Research, B. Frieden, ed. (Springer-Verlag, New York, 1980).
15. R. Barakat, “Application of the sampling theorem to optical diffraction theory,” J. Opt. Soc. Am. 54,920-930 (1964).
16. T. G. Newman and P. L. Odell, The Generation of Random Variates (Griffin, London, 1971).
17. F. Roddier, “The effects of atmospheric turbulence in optical astronomy,” in Progress in Optics, Vol. 19, E. Wolf, ed. (North- Holland, Amsterdam, 1981).
18. H. F. Lutominski, W. L. Woodie, and R. G. Buser, “Turbulence- degraded beam quality: improvement obtained with a tilt- correcting aperture,” Appl. Opt. 16,665-673 (1977).
19. G. C. Valley, “Isoplanatic degradation of tilt correction and short-term imaging systems,” Appl. Opt. 19,574-577 (1980).
20. J. Winocur, “Model compensation of atmospheric turbulence induced wavefront aberrations,” Appl. Opt. 21,433-438 (1982).
21. These unpublished data are from research conducted in 1973 by R. Barakat, E. Blackman, R. Barakat and E. Blackman, “The influence of random wavefront errors on the imaging characteristics of an optical system: statistics of the transfer function,” Opt. Acta 20, 901-912 (1973).
22. H. Weil, “The distribution of radial error,” Ann. Math. Stat. 25, 168-170 (1954).
23. D. Korff, “Analysis of a method of obtaining near diffraction limited information in the presence of atmospheric turbulence,” J. Opt. Soc. Am. 63,971-980 (1973).
24. Chelli, P. Lena, C. Roddier, F. Roddier, and F. Sibille, “Modulation transfer function for infrared stellar speckle interferometry: evidence for a log normal statistic,” Opt. Acta 26,583-595 (1979).
25. F. Roddier, G. Ricort, and C. Roddier, “Defocusing effects in astronomical speckle interferometry,” Opt. Commun. 24, 281-284 (1978).
26. R. Barakat and P. Nisenson, “Influence of the wavefront correlation and deterministic wavefront aberrations on the speckle image reconstruction problem in the high light level regime,” J. Opt. Soc. Am. 71,1390-1402 (1981).
27. D. Korff, G. Dryden, and M. G. Miller, “Information retrieval from atmospheric induced speckle patterns,” Opt. Commun. 5, 187-192 (1972).
28. J. C. Dainty, “Stellar speckle interferometry,” in Laser Speckle and Related Phenomena, 2nd ed., J. C. Dainty, ed. (SpringerVerlag, Berlin, 1984).
29. E. Jakeman and W. T. Wellford, “Speckle statistics in imaging systems,” Opt. Commun. 21,72-79 (1977).
30. J. W. Beletic, “Speckle imaging of complicated objects,” Ph.D. dissertation (Harvard University, Boston, Mass., 1989).
31. T. Young, “Seeing: its cause and cure,” Astrophys. J. 189, 587-604 (1974).
32. J. Bendat, Principles and Applications of Random Noise Theory (Wiley, New York, 1958).
33. C. E. Coulman, “Fundamental and applied aspects of astronomical seeing,” in Annual Reviews of Astronomy and Astrophysics, (Annual Reviews, Palo Alto, 1985), Vol. 23, pp. 19-57.
34. M. Loeve, “Fonctions aleatoires du second ordre,” in Processus Stochastiquas, P. Levy, ed. (Gauthier-Villars, Paris, 1948).
35. M. S. Longuet-Higgins, “Statistical properties of an isotropic random surface,” Philos. Trans. R. Soc. London Ser. A. 250, 157-174 (1957).
36. D. L. Fried, “Optical resolution through a randomly inhomogeneous medium for very long and very short exposures,” J. Opt. Soc. Am. 56,1372-1378 (1966).
37. D. J. Whitehouse and M. J. Phillips, “Discrete properties of random surfaces,” Philos. Trans. R. Soc. London Ser. A. 290, 268-298 (1978).
38. R. S. Lawrence and J. W. Strohbehn, “A survey of clear-air propagation effects relevant to optical communications,” Proc. IEEE 58,1253-1545 (1970).
39. R. Barakat and G. Newsam, “Remote sensing of the refractive index structure parameter via inversion of Tatarski’s integral equation for both spherical and plane wave situations,” Radio Sci. 19,1041-1056 (1984).
40. M. Schneiderman and D. P. Karo, “Phase-correlation settle effects in atmospheric optics,” Opt. Acta 27,661-670 (1980).
41. S. Monin and A. M. Yaglon, Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, Cambridge, Mass. 1975) Sec. 13.
42. B. Carnahan, H. A. Luther, and J. O. Wilkes, Applied Numerical Methods (Wiley, New York, 1969), pp 571-573.