Abstract

Spectral-bandwidth constraints to ensure controlled amounts of redundancy are established for a class of two-dimensional partially redundant arrays (PRA’s). In the IR, where speckle statistics are poor, the telescope-atmosphere modulation transfer function is determined solely by the PRA geometry. Signal-to-noise-ratio estimates, an optimum aperture criterion, and a six-element PRA example are presented.

© 1981 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. T. Rhodes and J. W. Goodman, "Interferometric technique for recording and restoring images degraded by unknown aberrations," J. Opt. Soc. Am. 63, 647–657 (1973).
  2. F. Roddier, "Speckle interferometry through small multiple apertures: Michelson stellar interferometer and aperture synthesis in optics," Opt. Commun. 10, 103–105 (1974).
  3. T. M. Brown, "Reconstruction of turbulence—degraded images using nonredundant aperture arrays," J. Opt. Soc. Am. 68, 883–889 (1978).
  4. A. Labeyrie, "Attainment of diffraction limited resolution in large telescopes by Fourier analyzing speckle patterns in star images," Astron. Astrophys. 6, 85–87 (1970).
  5. D. Korff, "Analysis of a method for obtaining near-diffractionlimited information in the presence of atmospheric turbulence," J. Opt. Soc. Am. 63, 971–980 (1973).
  6. K. T. Knox, "Image retrieval from astronomical speckle patterns," J. Opt. Soc. Am. 66, 1236–1239 (1976).
  7. G. J. M. Aitken and D. L. Desaulniers, "Restoration of atmospherically degraded images using complex spectral ratios," Opt. Commun. 28, 26–29 (1979).
  8. F. Roddier, "Les effets de la turbulence atmospherique sur la formation des images visibles et infrarouges," J. Opt. (Paris) 10, 299–303 (1979).
  9. F. Sibille, A. Chelli, and P. Lena, "Infrared speckle interferometry," Astron. Astrophys. 79, 315–328 (1979).
  10. D. W. McCarthy, F. J. Lowe, and R. Howell, "Design and operation of an infrared spatial interferometer," Opt. Eng. 16, 569–574 (1977).
  11. M. J. E. Golay, "Point arrays having compact, nonredundant autocorrelations," J. Opt. Soc. Am. 61, 272–273 (1971).
  12. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 120.
  13. D. L. Fried, "Optical resolution through a randomly inhomogeneous medium for very long and very short exposures," J. Opt. Soc. Am. 56, 1372–1379 (1966).
  14. J. M. Robillot, "Effets atmospheriques et measures radio-interferometriques," J. Opt. (Paris) 10, 304–307 (1979).
  15. M. G. Miller, "Noise considerations in stellar speckle interferometry," J. Opt. Soc. Am. 67, 1176–1184 (1977).

1979

G. J. M. Aitken and D. L. Desaulniers, "Restoration of atmospherically degraded images using complex spectral ratios," Opt. Commun. 28, 26–29 (1979).

F. Roddier, "Les effets de la turbulence atmospherique sur la formation des images visibles et infrarouges," J. Opt. (Paris) 10, 299–303 (1979).

F. Sibille, A. Chelli, and P. Lena, "Infrared speckle interferometry," Astron. Astrophys. 79, 315–328 (1979).

J. M. Robillot, "Effets atmospheriques et measures radio-interferometriques," J. Opt. (Paris) 10, 304–307 (1979).

1978

1977

M. G. Miller, "Noise considerations in stellar speckle interferometry," J. Opt. Soc. Am. 67, 1176–1184 (1977).

D. W. McCarthy, F. J. Lowe, and R. Howell, "Design and operation of an infrared spatial interferometer," Opt. Eng. 16, 569–574 (1977).

1976

1974

F. Roddier, "Speckle interferometry through small multiple apertures: Michelson stellar interferometer and aperture synthesis in optics," Opt. Commun. 10, 103–105 (1974).

1973

1971

1970

A. Labeyrie, "Attainment of diffraction limited resolution in large telescopes by Fourier analyzing speckle patterns in star images," Astron. Astrophys. 6, 85–87 (1970).

1966

Aitken, G. J. M.

G. J. M. Aitken and D. L. Desaulniers, "Restoration of atmospherically degraded images using complex spectral ratios," Opt. Commun. 28, 26–29 (1979).

Brown, T. M.

Chelli, A.

F. Sibille, A. Chelli, and P. Lena, "Infrared speckle interferometry," Astron. Astrophys. 79, 315–328 (1979).

Desaulniers, D. L.

G. J. M. Aitken and D. L. Desaulniers, "Restoration of atmospherically degraded images using complex spectral ratios," Opt. Commun. 28, 26–29 (1979).

Fried, D. L.

Golay, M. J. E.

Goodman, J. W.

Howell, R.

D. W. McCarthy, F. J. Lowe, and R. Howell, "Design and operation of an infrared spatial interferometer," Opt. Eng. 16, 569–574 (1977).

Knox, K. T.

Korff, D.

Labeyrie, A.

A. Labeyrie, "Attainment of diffraction limited resolution in large telescopes by Fourier analyzing speckle patterns in star images," Astron. Astrophys. 6, 85–87 (1970).

Lena, P.

F. Sibille, A. Chelli, and P. Lena, "Infrared speckle interferometry," Astron. Astrophys. 79, 315–328 (1979).

Lowe, F. J.

D. W. McCarthy, F. J. Lowe, and R. Howell, "Design and operation of an infrared spatial interferometer," Opt. Eng. 16, 569–574 (1977).

McCarthy, D. W.

D. W. McCarthy, F. J. Lowe, and R. Howell, "Design and operation of an infrared spatial interferometer," Opt. Eng. 16, 569–574 (1977).

Miller, M. G.

Rhodes, W. T.

Robillot, J. M.

J. M. Robillot, "Effets atmospheriques et measures radio-interferometriques," J. Opt. (Paris) 10, 304–307 (1979).

Roddier, F.

F. Roddier, "Les effets de la turbulence atmospherique sur la formation des images visibles et infrarouges," J. Opt. (Paris) 10, 299–303 (1979).

F. Roddier, "Speckle interferometry through small multiple apertures: Michelson stellar interferometer and aperture synthesis in optics," Opt. Commun. 10, 103–105 (1974).

Sibille, F.

F. Sibille, A. Chelli, and P. Lena, "Infrared speckle interferometry," Astron. Astrophys. 79, 315–328 (1979).

Astron. Astrophys.

A. Labeyrie, "Attainment of diffraction limited resolution in large telescopes by Fourier analyzing speckle patterns in star images," Astron. Astrophys. 6, 85–87 (1970).

F. Sibille, A. Chelli, and P. Lena, "Infrared speckle interferometry," Astron. Astrophys. 79, 315–328 (1979).

J. Opt. Paris

F. Roddier, "Les effets de la turbulence atmospherique sur la formation des images visibles et infrarouges," J. Opt. (Paris) 10, 299–303 (1979).

J. M. Robillot, "Effets atmospheriques et measures radio-interferometriques," J. Opt. (Paris) 10, 304–307 (1979).

J. Opt. Soc. Am.

Opt. Commun.

F. Roddier, "Speckle interferometry through small multiple apertures: Michelson stellar interferometer and aperture synthesis in optics," Opt. Commun. 10, 103–105 (1974).

G. J. M. Aitken and D. L. Desaulniers, "Restoration of atmospherically degraded images using complex spectral ratios," Opt. Commun. 28, 26–29 (1979).

Opt. Eng.

D. W. McCarthy, F. J. Lowe, and R. Howell, "Design and operation of an infrared spatial interferometer," Opt. Eng. 16, 569–574 (1977).

Other

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), p. 120.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.