Branch-point-tolerant least-squares phase reconstructor

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

Volumn 16, Issue 7, 1999, Pages 1864-1872

  Arrasmith, William W ^a  

^a UNITED STATES NAVAL ACADEMY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001140285     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.001864     Document Type: Article

References (18)

1. G. Fornaro, G. Franceschetti, R. Lanari, and E. Sansosti, “Robust phase-unwrapping techniques: a comparison,” J. Opt. Soc. Am. A 13, 2355–2366 (1996).
2. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A 11, 107–117 (1994).
3. H. Takajo and T. Takahashi, “Least-squares phase estimation from the phase difference,” J. Opt. Soc. Am. A 5, 416–425 (1988).
4. R. H. Hudgin, “Wave-front reconstruction for compensated imaging,” J. Opt. Soc. Am. 67, 375–378 (1977).
5. D. L. Fried, “Least-squares fitting a wave-front distortion estimate to an array of phase-difference measurements,” J. Opt. Soc. Am. 67, 370–375 (1977).
6. B. R. Hunt, “Matrix formulation of the reconstruction of phase values from phase differences,” J. Opt. Soc. Am. 69, 393–399 (1979).
7. I. Freund, “Optical vortices in Gaussian random wave fields: statistical probability densities,” J. Opt. Soc. Am. A 11, 1644–1652 (1994).
8. D. L. Fried and J. L. Vaughn, “Branch cuts in the phase function,” Appl. Opt. 31, 2865–2882 (1992).
9. 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).
10. S. Lowenthal and H. Arsenault, “Image formation for coherent diffuse objects: statistical properties,” J. Opt. Soc. Am. 60, 1478–1483 (1970).
11. D. L. Fried, “Branch point problem in adaptive optics,” J. Opt. Soc. Am. A 13, 2759–2768 (1998).
12. W. W. Arrasmith, M. Roggemann, and B. Welsh, “Optimal wave-front reconstruction for a coherent diffracted field,” Appl. Opt. 37, 4457–4467 (1998).
13. R. A. Hutchin, “Sheared coherent interferometric photography: a technique for lensless imaging,” Proc. IEEE 2029, 161–168 (1993).
14. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Topics in Applied Physics, Vol. 9 of Laser Speckle and Related Phenomena (Springer-Verlag, New York, 1975).
15. J. W. Goodman, Statistical Optics (Wiley-Interscience, New York, 1985).
16. W. K. H. Panofsky and M. Phillips, Classical Electricity and Magnetism (Addison-Wesley, Reading, Mass., 1955), Eq. (11).
17. M. C. Roggemann, “Optical performance of fully and partially compensated adaptive optics systems using leastsquares and minimum variance phase reconstructors,” Computers Electr. Eng. 18, 451–466 (1992).
18. 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).