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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 5, Iss. 6 — Jun. 1, 1988
  • pp: 914–923

Optical misalignment sensing and image reconstruction using phase diversity

R. G. Paxman and J. R. Fienup  »View Author Affiliations


JOSA A, Vol. 5, Issue 6, pp. 914-923 (1988)
http://dx.doi.org/10.1364/JOSAA.5.000914


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Abstract

A segmented-aperture telescope such as the Multiple-Mirror Telescope will suffer from phase errors unless the segments are aligned to within a small fraction of a wavelength. Such a coherent alignment of the segments is difficult to achieve in real time. An alternative is to record the images degraded by phase errors and to restore them after detection by using phase-retrieval techniques. In this paper we describe the use of Gonsalves’s phase-diversity method (which was previously used to combat atmospheric turbulence) to correct imagery blurred by a misaligned segmented-aperture telescope. Two images are recorded simultaneously: the usual degraded image in the focal plane and a second degraded image in an out-of-focus plane. An iterative gradient-search algorithm finds the phase error of the telescope that is consistent with both degraded images. We refer to this technique as the method of multiple-plane measurements with iterative reconstruction. The final image is obtained by a Wiener–Helstrom filtering of the degraded image using the retrieved phase errors. The results of reconstruction experiments performed with simulated data including the effects of noise are shown for the case of random piston phase errors on each of six segments.

© 1988 Optical Society of America

History
Original Manuscript: October 30, 1987
Manuscript Accepted: January 11, 1988
Published: June 1, 1988

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-5-6-914


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References

  1. E. K. Hege, J. M. Beckers, P. A. Strittmatter, D. W. McCarthy, “Multiple Mirror Telescope as a phased array telescope,” Appl. Opt. 24, 2565–2576 (1985). [CrossRef] [PubMed]
  2. T. S. Mast, J. E. Nelson, “Status report on the W. M. Keck Observatory and Ten Meter Telescope,” in Advanced Technology Optical Telescopes III, L. D. Barr, ed., Proc. Soc. Photo-Opt. Instrum. Eng.628, 204–206 (1986). [CrossRef]
  3. D. Enard, “The ESO Very Large Telescope project: present status,” in Advanced Technology Optical Telescopes III, L. D. Barr, ed., Proc. Soc. Photo-Opt. Instrum. Eng.628, 221–226 (1986). [CrossRef]
  4. K. L. Shu, S. Eisenberg, “Planning the National New Technology Telescope (NNTT): I. Optical designs,” in Advanced Technology Optical Telescopes III, L. D. Barr, ed., Proc. Soc. Photo-Opt. Instrum. Eng.628, 66–79 (1986). [CrossRef]
  5. R. R. Butts, S. J. Cusumano, J. S. Fender, C. R. DeHainaut, “Phasing concept for an array of mutually coherent laser transmitters,” Opt. Eng. 26, 553–558 (1987). [CrossRef]
  6. J. C. Wyant, “Use of an ac heterodyne lateral shear interferometer with real-time wavefront correction systems,” Appl. Opt. 14, 2622–2626 (1975). [CrossRef] [PubMed]
  7. R. A. Gonsalves, R. Childlaw, “Wavefront sensing by phase retrieval,” in Applications of Digital Image Processing III, A. G. Tescher, ed., Proc. Soc. Photo-Opt. Instrum. Eng.207, 32–39 (1979). [CrossRef]
  8. R. A. Gonsalves, “Phase retrieval and diversity in adaptive optics,” Opt. Eng. 21, 829–832 (1982). [CrossRef]
  9. D. G. Luenberger, Linear and Nonlinear Programming (Addison-Wesley, Reading, Mass., 1984).
  10. C. W. Helstrom, “Image restoration by the method of least squares,” J. Opt. Soc. Am. 57, 297–303 (1967). [CrossRef]
  11. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, 1968).

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