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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 1 — Jan. 1, 2009
  • pp: A58–A62

Closure phase and lucky imaging

William T. Rhodes  »View Author Affiliations

Applied Optics, Vol. 48, Issue 1, pp. A58-A62 (2009)

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Since its introduction by Jennison in 1958, the closure-phase method for removing the effects of electrical path-length errors in radio astronomy and of atmospheric turbulence in optical astronomy has been based on the non-redundant-spacing triple interferometer. It is shown that through application of lucky imaging concepts it is possible to relax this condition, making closure-phase methods possible with redundantly spaced interferometer configurations and thereby widening their range of application. In particular, a quadruple-interferometer can, under lucky imaging conditions, be treated as though it were a triple interferometer. The slit-annulus aperture is investigated as a special case.

© 2008 Optical Society of America

OCIS Codes
(110.0115) Imaging systems : Imaging through turbulent media
(100.3175) Image processing : Interferometric imaging

Original Manuscript: June 9, 2008
Revised Manuscript: October 4, 2008
Manuscript Accepted: October 16, 2008
Published: November 7, 2008

William T. Rhodes, "Closure phase and lucky imaging," Appl. Opt. 48, A58-A62 (2009)

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  1. R. C. Jennison, “A phase sensitive interferometer technique for the measurement of the Fourier transforms of spatial brightness distributions of small angular extent,” Mon. Not. R. Astron. Soc. 118, 276-284 (1958).
  2. T. J. Cornwell, “The applications of closure phase to astronomical imaging,” Science 245, 263-269 (1989). [CrossRef] [PubMed]
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  9. See, e.g., W. T. Rhodes, “Image formation and the retransformation of coherence functions,” in The Art and Science of Holography: A Tribute to Emmett Leith and Yuri Denisyuk (SPIE Press, 2004), Chap. 7.
  10. C. A. Haniff and D. F. Buscher, “Diffraction-limited imaging with partially redundant masks. I. Infrared imaging of bright objects,” J. Opt. Soc. Am. A 9, 203-218 (1992). [CrossRef]
  11. J. E. Ward, W. T. Rhodes, and J. T. Sheridan, “Lucky imaging and aperture synthesis with low-redundancy apertures,” Appl. Opt. 48, (this issue). [PubMed]
  12. P. Tuthill, J. Lloyd, M. I. F. Martinache, J. Monnier, H. Woodruff, T. ten Brummelaar, N. Turner, and C. Townes, “Sparse-aperture adaptive optics,” Proc. SPIE 6272, 62723A(2006). [CrossRef]
  13. Labeyrie, S. G. Lipson, and P. Nisenson, An Introduction to Optical Stellar Interferometry, (Cambridge U. Press, 2006), Sect. 6.4.2.
  14. R. B. Holmes, S. Ma, A. Bhowmik, and C. Greninger, “Analysis and simulation of a synthetic-aperture technique for imaging through a turbulent medium,” J. Opt. Soc. Am. A 13, 351-364 (1996). [CrossRef]

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