Abstract

A scintillation resistant sensor that allows retrieval of an input optical wave phase using a multi-aperture phase reconstruction (MAPR) technique is introduced and analyzed. The MAPR sensor is based on a low-resolution lenslet array in the classical Shack–Hartmann arrangement and two high-resolution photo-arrays for simultaneous measurements of pupil- and focal-plane intensity distributions, which are used for retrieval of the wavefront phase in a two stage process: (a) phase reconstruction inside the sensor pupil subregions corresponding to lenslet subapertures and (b) recovery of subaperture averaged phase components (piston phases). Numerical simulations demonstrate the efficiency of the MAPR technique in conditions of strong intensity scintillations and the presence of wavefront branch points.

© 2012 Optical Society of America

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  1. V. U. Zavorotnyi, “Strong fluctuations of the wave intensity behind a randomly inhomogeneous layer,” Radiophys. Quantum Electron. 22, 352–354 (1979).
    [CrossRef]
  2. M. C. Rytov, Yu A. Kravtsov, and V. I. Tatarskii, eds., Principles of Statistical Radiophysics 4, Wave Propagation Through Random Media (Springer-Verlag, 1989).
  3. L. C. Andrews, R. L. Phillips, C. Y. Hopen, and M. A. Al-Habash, “Theory of optical scintillation,” J. Opt. Soc. Am. A 16, 1417–1429 (1999).
    [CrossRef]
  4. J. W. Hardy, Adaptive Optics for Astronomical Telescopes(Oxford University, 1998).
  5. J. D. Barchers, D. L. Fried, and D. J. Link, “Evaluation of the performance of Hartmann sensors in strong scintillation,” Appl. Opt. 41, 1012–1021 (2002).
    [CrossRef]
  6. F. Roddier, “Curvature sensing and compensation: a new concept in adaptive optics,” Appl. Opt. 27, 1223–1225 (1988).
    [CrossRef]
  7. G. Rousset, “Wave-front sensors,” in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge University, 1999), pp. 91–130.
  8. J. W. Hardy, J. E. Lefebvre, and C. L. Koliopoulos, “Real-time atmospheric compensation,” J. Opt. Soc. Am. 67, 360–369 (1977).
    [CrossRef]
  9. D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
    [CrossRef]
  10. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).
  11. R. A. Gonsalves, “Phase retrieval from modulus data,” J. Opt. Soc. Am. 66, 961–964 (1976).
    [CrossRef]
  12. V. Y. Ivanov, V. P. Sivokon, and M. A. Vorontsov, “Phase retrieval from a set of intensity measurements: theory and experiment,” J. Opt. Soc. Am. 9, 1515–1524 (1992).
    [CrossRef]
  13. R. G. Paxman and J. R. Fienup, “Optical misalignment sensing and image reconstruction using phase diversity,” J. Opt. Soc. Am. A 5, 914–923 (1988).
    [CrossRef]
  14. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982).
    [CrossRef]
  15. J. R. Fienup and C. C. Wackerman, “Phase-retrieval stagnation problems and solutions,” J. Opt. Soc. Am. A 3, 1897–1907 (1986).
    [CrossRef]
  16. D. L. Fried, “Branch point problem in adaptive optics,” J. Opt. Soc. Am. A 15, 2759–2768 (1998).
    [CrossRef]
  17. D. L. Fried and J. L. Vaughn, “Branch cuts in the phase function,” Appl. Opt. 31, 2865–2882 (1992).
    [CrossRef]
  18. M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel-gradient-descent technique for high-resolution wave-front phase-distortion correction,” J. Opt. Soc. Am. A 15, 2745–2758 (1998).
    [CrossRef]
  19. J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
    [CrossRef]
  20. M. C. Roggemann and B. Welsh, Imaging Through Turbulence (CRC, 1996).
  21. D. L. Fried, “Anisoplanatism in adaptive optics,” J. Opt. Soc. Am. 72, 52–61 (1982).
    [CrossRef]
  22. E. W. Justh, M. A. Vorontsov, G. W. Carhart, L. A. Beresnev, and P. S. Krishnaprasad, “Adaptive optics with advanced phase-contrast techniques. II. high-resolution wave-front control,” J. Opt. Soc. Am. A 18, 1300–1311 (2001).
    [CrossRef]

2002 (1)

2001 (1)

1999 (1)

1998 (2)

1994 (1)

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

1992 (2)

V. Y. Ivanov, V. P. Sivokon, and M. A. Vorontsov, “Phase retrieval from a set of intensity measurements: theory and experiment,” J. Opt. Soc. Am. 9, 1515–1524 (1992).
[CrossRef]

D. L. Fried and J. L. Vaughn, “Branch cuts in the phase function,” Appl. Opt. 31, 2865–2882 (1992).
[CrossRef]

1988 (2)

1986 (1)

1982 (2)

1979 (1)

V. U. Zavorotnyi, “Strong fluctuations of the wave intensity behind a randomly inhomogeneous layer,” Radiophys. Quantum Electron. 22, 352–354 (1979).
[CrossRef]

1977 (1)

1976 (2)

R. A. Gonsalves, “Phase retrieval from modulus data,” J. Opt. Soc. Am. 66, 961–964 (1976).
[CrossRef]

J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
[CrossRef]

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Al-Habash, M. A.

Andrews, L. C.

Arnold, R.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Barchers, J. D.

Barrett, T.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Beresnev, L. A.

Carhart, G. W.

Cuellar, L.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Feit, M. D.

J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
[CrossRef]

Fienup, J. R.

Fleck, J. A.

J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
[CrossRef]

Fried, D. L.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Gonsalves, R. A.

Hardy, J. W.

Hopen, C. Y.

Ivanov, V. Y.

V. Y. Ivanov, V. P. Sivokon, and M. A. Vorontsov, “Phase retrieval from a set of intensity measurements: theory and experiment,” J. Opt. Soc. Am. 9, 1515–1524 (1992).
[CrossRef]

Johnson, P.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Justh, E. W.

Koliopoulos, C. L.

Kravtsov, Yu A.

M. C. Rytov, Yu A. Kravtsov, and V. I. Tatarskii, eds., Principles of Statistical Radiophysics 4, Wave Propagation Through Random Media (Springer-Verlag, 1989).

Krishnaprasad, P. S.

Lefebvre, J. E.

Lefebvre, M.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Link, D. J.

Morris, J. R.

J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
[CrossRef]

Paxman, R. G.

Phillips, R. L.

Rego, A.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Roddier, F.

Roggemann, M. C.

M. C. Roggemann and B. Welsh, Imaging Through Turbulence (CRC, 1996).

Rousset, G.

G. Rousset, “Wave-front sensors,” in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge University, 1999), pp. 91–130.

Rytov, M. C.

M. C. Rytov, Yu A. Kravtsov, and V. I. Tatarskii, eds., Principles of Statistical Radiophysics 4, Wave Propagation Through Random Media (Springer-Verlag, 1989).

Sandler, D. G.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Sivokon, V. P.

M. A. Vorontsov and V. P. Sivokon, “Stochastic parallel-gradient-descent technique for high-resolution wave-front phase-distortion correction,” J. Opt. Soc. Am. A 15, 2745–2758 (1998).
[CrossRef]

V. Y. Ivanov, V. P. Sivokon, and M. A. Vorontsov, “Phase retrieval from a set of intensity measurements: theory and experiment,” J. Opt. Soc. Am. 9, 1515–1524 (1992).
[CrossRef]

Smith, G.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Spivey, B.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Tatarskii, V. I.

M. C. Rytov, Yu A. Kravtsov, and V. I. Tatarskii, eds., Principles of Statistical Radiophysics 4, Wave Propagation Through Random Media (Springer-Verlag, 1989).

Taylor, G.

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

Vaughn, J. L.

Vorontsov, M. A.

Wackerman, C. C.

Welsh, B.

M. C. Roggemann and B. Welsh, Imaging Through Turbulence (CRC, 1996).

Zavorotnyi, V. U.

V. U. Zavorotnyi, “Strong fluctuations of the wave intensity behind a randomly inhomogeneous layer,” Radiophys. Quantum Electron. 22, 352–354 (1979).
[CrossRef]

Appl. Opt. (4)

Appl. Phys. (1)

J. A. Fleck, J. R. Morris, and M. D. Feit, “Time-dependent propagation of high energy laser beams through the atmosphere,” Appl. Phys. 10, 129–160 (1976).
[CrossRef]

J. Opt. Soc. Am. (5)

D. G. Sandler, L. Cuellar, M. Lefebvre, T. Barrett, R. Arnold, P. Johnson, A. Rego, G. Smith, G. Taylor, and B. Spivey, “Shearing interferometry for laser-guide-star atmospheric correction at large D/r0,” J. Opt. Soc. Am. 11, 858–873 (1994).
[CrossRef]

R. A. Gonsalves, “Phase retrieval from modulus data,” J. Opt. Soc. Am. 66, 961–964 (1976).
[CrossRef]

J. W. Hardy, J. E. Lefebvre, and C. L. Koliopoulos, “Real-time atmospheric compensation,” J. Opt. Soc. Am. 67, 360–369 (1977).
[CrossRef]

D. L. Fried, “Anisoplanatism in adaptive optics,” J. Opt. Soc. Am. 72, 52–61 (1982).
[CrossRef]

V. Y. Ivanov, V. P. Sivokon, and M. A. Vorontsov, “Phase retrieval from a set of intensity measurements: theory and experiment,” J. Opt. Soc. Am. 9, 1515–1524 (1992).
[CrossRef]

J. Opt. Soc. Am. A (6)

Optik (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik 35, 237–246 (1972).

Radiophys. Quantum Electron. (1)

V. U. Zavorotnyi, “Strong fluctuations of the wave intensity behind a randomly inhomogeneous layer,” Radiophys. Quantum Electron. 22, 352–354 (1979).
[CrossRef]

Other (4)

M. C. Rytov, Yu A. Kravtsov, and V. I. Tatarskii, eds., Principles of Statistical Radiophysics 4, Wave Propagation Through Random Media (Springer-Verlag, 1989).

J. W. Hardy, Adaptive Optics for Astronomical Telescopes(Oxford University, 1998).

G. Rousset, “Wave-front sensors,” in Adaptive Optics in Astronomy, F. Roddier, ed. (Cambridge University, 1999), pp. 91–130.

M. C. Roggemann and B. Welsh, Imaging Through Turbulence (CRC, 1996).

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