Description and simulation of an active imaging technique utilizing two speckle fields: Root reconstructors

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

Volumn 19, Issue 3, 2002, Pages 444-457

  Holmes, R B ^a   Hughes, K ^b   Fairchild, F ^b   Spivey, B ^c   Smith, A ^c  

^a Nutronics Inc   (United States)

^b ThermoTrex Corp   (United States)

^c Litel Instruments   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; IMAGING TECHNIQUES; LASER APPLICATIONS; LIGHT INTERFERENCE; POLYNOMIALS;

LASER SPECKLE;

SPECKLE;

EID: 0041662273     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.000444     Document Type: Article

References (40)

1. V. I. Tatarskii, Wave Propagation in a Turbulent Medium, translated by R. S. Silverman (McGraw-Hill, New York, 1961).
2. K. T. Knox and B. J. Thompson, "Recovery of images from astronomically degraded short-exposure photographs," Astrophys. J. Lett. 193, L45-L48 (1974).
3. A. W. Lohmann, G. Weigelt, and B. Wirnitzer, "Speckle masking in astronomy: triple correlation theory and applications," Appl. Opt. 22, 4028-4037 (1983).
4. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758-2769 (1982).
5. A. C. S. Readhead, T. S. Nakajima, T. J. Pearson, G. Neugebauer, J. B. Oke, and W. L. W. Sargent, "Diffraction-limited imaging with ground-based optical telescopes," Astron. J. 95, 1278-1296 (1988).
6. J. Hardy, J. Lefebvre, and C. Koliopoulis, "Real time atmospheric compensation," J. Opt. Soc. Am. 67, 360-369 (1977).
7. J. W. Goodman, "Statistical properties of laser speckle patterns," in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1975), pp. 9-68.
8. Paul S. Idell, J. R. Fienup, and Ron S. Goodman, "Image synthesis from nonimaged laser-speckle patterns," Opt. Lett. 12, 858-860 (1987).
9. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, UK, 1999), p. 356.
10. R. A. Hutchin, "Sheared coherent interferometric photography: a technique for lensless imaging," in Digital Image Recovery and Synthesis II, P. S. Idell, ed., Proc. SPIE 2029, 161-168 (1993).
11. S. M. Stahl, R. M. Kremer, P. W. Fairchild, K. Hughes, B. A. Spivey, and R. Stagat, "Sheared-beam coherent image reconstruction," in Applications of Digital Image Processing XIX, A. G. Tescher, ed., Proc. SPIE 2847, 150-158 (1996).
12. M. Born and E. Wolf, Principles of Optics, 7th ed., pp. 572-577 (Cambridge U. Press, Cambridge, UK, 1999).
13. J. W. Goodman, Statistical Optics (Wiley, New York, 1985), Chap. 5.
14. Yu. M. Bruck and L. G. Sodin, "On the ambiguity of the image reconstruction problem," Opt. Commun. 30, 304-308 (1979).
15. H. B. Deighton, M. S. Scivier, and M. A. Fiddy, "Solution of the two-dimensional phase-retrieval problem," Opt. Lett. 10, 250-251 (1985).
16. R. G. Lane, W. R. Fright, and R. H. T. Bates, "Direct phase retrieval," IEEE Trans. Acoust. Speech Signal Process. ASSP-35, 520-525 (1987).
17. D. Israelevitz and J. S. Lim, "A new direct algorithm for image reconstruction from Fourier transform magnitude," IEEE Trans. Acoust. Speech Signal Process. ASSP-35, 511-519 (1987).
18. J. R. Fienup, "Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint," J. Opt. Soc. Am. A 4, 118-123 (1987).
19. R. G. Lane and R. H. T. Bates, "Automatic multidimensional deconvolution," J. Opt. Soc. Am. A 4, 180-188 (1987).
20. J. R. Fienup and C. C. Wackerman, "Phase-retrieval stagnation problems and solutions," J. Opt. Soc. Am. A 3, 1897-1907 (1986).
21. C. C. Wackerman and A. E. Yagle, "Use of Fourier domain real-plane zeros to overcome a phase retrieval stagnation," J. Opt. Soc. Am. A 8, 1898-1904 (1991).
22. C. C. Wackerman and A. E. Yagle, "Phase retrieval and estimation with use of real-plane zeros," J. Opt. Soc. Am. 11, 2016-2026 (1994).
23. P. J. Bones, C. R. Parker, B. L. Satherley, and R. W. Watson, "Deconvolution and phase retrieval with use of zero sheets," J. Opt. Soc. Am. A 12, 1842-1857 (1995).
24. T. J. Schulz, "Multiframe blind deconvolution of astronomical images," J. Opt. Soc. Am. 10, 1064-1073 (1993).
25. R. H. T. Bates, B. K. Quek, and C. R. Parker, "Some implications of zero sheets for blind deconvolution and phase retrieval," J. Opt. Soc. Am. A 7, 468-479 (1990).
26. P. Chen, M. A. Fiddy, A. H. Greenaway, and Y. Wang, "Zero estimation for blind deconvolution from noisy sampled data," in Digital Image Recovery and Synthesis II, P. S. Idell, ed., Proc. SPIE 2029, 14-22 (1993).
27. D. C. Ghiglia, L. A. Romero, and G. A. Mastin, "Systematic approach to two-dimensional blind deconvolution by zero-sheet separation," J. Opt. Soc. Am. A 10, 1024-1036 (1993).
28. B. R. Hunt, T. L. Overman, and P. Gough, "Image reconstruction from pairs of Fourier transform magnitude," Opt. Lett. 23, 1123-1125 (1998).
29. B. Ya Zeldovich, Principles of Phase Conjugation (Springer-Verlag, New York, 1985), Chap. 3.
30. M. S. Scivier and M. A. Fiddy, "Phase ambiguities and the zeros of multidimensional band-limited functions," J. Opt. Soc. Am. A 2, 693-697 (1985).
31. E. P. Wallner, "Optimal wave-front correction using slope measurements," J. Opt. Soc. Am. 73, 1771-1776 (1983).
32. J. D. Downie and J. W. Goodman, "Optimal wave-front correction with segmented mirrors," Appl. Opt. 28, 5326-5332 (1989).
33. R. G. Paxman, T. J. Schulz, and J. R. Fienup, "Joint estimation of object and aberrations by using phase diversity," J. Opt. Soc. Am. A 9, 1072-1085 (1992).
34. R. Holmes, K. Hughes, P. Fairchild, B. Spivey, and A. Smith, "Description and simulation of an active imaging technique utilizing two speckle fields: iterative reconstructors," J. Opt. Soc. Am. A 19, 458-471 (2002).
35. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plan pictures," Optik 35, 237-246 (1972).
36. V. S. R. Gudimetla and J. F. Holmes, "Probability density function of the intensity for a laser-generated speckle field after propagation through the turbulent atmosphere," J. Opt. Soc. Am. 72, 1213-1218 (1982), and references therein.
37. M. H. Lee, J. F. Holmes, and J. R. Kerr, "Statistics of speckle propagation through the turbulent atmosphere," J. Opt. Soc. Am. 66, 1164-1172 (1976).
38. G. Parry, "Speckle patterns in partially coherent light," in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1975), Eq. 3.19.
39. P. S. Idell and A. Webster, "Resolution limits for coherent optical imaging: signal-to-noise analysis in the spatial frequency domain," J. Opt. Soc. Am. A 9, 43-56 (1992).
40. R. B. Holmes, B. Spivey, and A. Smith, "Recovery of images from two-color, pupil-plane speckle data using object-plane root-matching and pupil-plane error minimiziation," in Digital Image Reconstruction and Synthesis IV, P. S. Idell and T. J. Schulz, eds., Proc. SPIE 3815, 70-89 (1999).