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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 68, Iss. 7 — Jul. 1, 1978
  • pp: 883–889

Reconstruction of turbulence-degraded images using nonredundant aperture arrays

Timothy M. Brown  »View Author Affiliations

JOSA, Vol. 68, Issue 7, pp. 883-889 (1978)

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A technique is described which allows the removal of seeing distortions from a single frame of speckle-type imagery, provided that this frame is obtained using an aperture consisting of a nonredundant array of subapertures, each smaller than the seeing correlation length. Although performed a posteriori, the method is related to those already proposed for use with active optical systems. Computer simulations are decribed which verify the basic features of this technique. The simulations indicate that reconstructed images of diffraction-limited quality should be obtainable for starlike objects as dim as eighth magnitude. For more extended objects, the limiting magnitude depends somewhat on the object structure. The technique described is immediately applicable to any large telescope, and because the processing is done after the fact, a frame containing many isoplanatic patches may be processed piecewise, allowing the reconstruction of large areas.

© 1978 Optical Society of America

Timothy M. Brown, "Reconstruction of turbulence-degraded images using nonredundant aperture arrays," J. Opt. Soc. Am. 68, 883-889 (1978)

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  1. R. A. Muller and A. Buffington, "Real-time correction of atmospherically degraded images through sharpening," J. Opt. Soc. Am. 64, 1200–1210 (1974); also A. Buffington, F. S. Crawford, R. A. Muller, and C. D. Orth, "First observatory results with an image-sharpening telescope," J. Opt. Soc. Am. 67, 304 (1977).
  2. F. J. Dyson, "Photon noise and atmospheric noise in active optical systems," J. Opt. Soc. Am. 65, 551–558 (1975).
  3. S. L. McCall, T. R. Brown, and A. Passner, "Improved Optical Stellar Images Using a Real-Time Phase-Correction System: Initial Results," Astrophys. J. 211, 463–468 (1977).
  4. K. T. Knox and B. J. Thompson, "Recovery of Images from Atmospherically Degraded Short-Exposure Photographs," Astrophys. J. Lett. 193, L45–L48 (1974).
  5. R. V. Stachnik, P. Nisenson, D. C. Ehn, R. H. Hudgin, and V. E. Schirf, "Speckle Image Reconstruction of Solar Features," Nature 266, 149–151 (1977).
  6. 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).
  7. F. D. Russell and J. W. Goodman, "Nonredundant arrays and postdetection processing for aberration compensation in incoherent imaging," J. Opt. Soc. Am. 61, 182–191 (1971).
  8. J. P. Hamaker, J. D. O'Sullivan, and J. E. Noordam, "Image sharpness, Fourier optics, and redundant-spacing interferometry," J. Opt. Soc. Am. 67, 1122 (1977).
  9. T. M. Brown, "Performance of image-plane sharpness criteria in image reconstruction," J. Opt. Soc. Am. 68, 890–892 (1978) (following paper).
  10. W. K. Klemperer, "Non-Redundant Phased-Array Radar," IEEE Conference Publication No. 105, RADAR, Present and `Future, London; October 23–25, 1973, pp. 74–80.
  11. J.-P. Chevillard, P. Connes, M. Cuisenier, J. Friteau, and C. Marlot, "Near infrared astronomical light collector," Appl. Opt. 16, 1817–1833 (1977); also, R. J. Weyman and N. P. Carlton, "The Multi-Mirror Telescope Project," Sky and Telescope 44, 159–163 (1972).

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