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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. 18, Iss. 3 — Mar. 1, 2001
  • pp: 614–621

Spectrally resolved Michelson interferometry. II. Noise analysis

Philippe Berio, D. Mourard, M. Pierron, and A. Chelli  »View Author Affiliations


JOSA A, Vol. 18, Issue 3, pp. 614-621 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000614


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Abstract

We study the theoretical noise limitations of a spectrally resolved Michelson interferometer operating in a multispeckle and photon-counting mode. We derive an expression of the signal-to-noise ratio of the fringe modulation in the (cross-) spectral density of short exposures, which allows us to give the signal-to-noise ratio of the various visibility estimators defined in our previous paper [J. Opt. Soc. Am. A 16, 872 (1999)]. These estimators and the corresponding signal-to-noise-ratio expressions are used in the data processing software of the GI2T interferometer in order to estimate the visibility and the accuracy of the measurements.

© 2001 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(030.6610) Coherence and statistical optics : Stellar speckle interferometry

History
Original Manuscript: January 4, 2000
Revised Manuscript: July 12, 2000
Manuscript Accepted: July 12, 2000
Published: March 1, 2001

Citation
Philippe Berio, D. Mourard, M. Pierron, and A. Chelli, "Spectrally resolved Michelson interferometry. II. Noise analysis," J. Opt. Soc. Am. A 18, 614-621 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-3-614


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References

  1. P. Berio, D. Mourard, D. Bonneau, O. Chesneau, P. Stee, N. Thureau, F. Vakili, J. Borgnino, “Spectrally resolved Michelson interferometry. I. Exact formalism in the multispeckle mode,” J. Opt. Soc. Am. A 16, 872–881 (1999). [CrossRef]
  2. J. W. Goodman, Statistical Optics (Wiley, New York, 1985), Chap. 9.
  3. J. C. Dainty, A. H. Greenaway, “Estimation of spatial power spectra in speckle interferometry,” J. Opt. Soc. Am. 69, 786–790 (1979). [CrossRef]
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  7. D. Mourard, N. Thureau, P. Antonelli, P. Berio, J. C. Blanc, A. Blazit, J. L. Boit, D. Bonneau, O. Chesneau, J. M. Clausse, J. M. Corneloup, R. Dalla, M. Dugue, A. Glentzlin, L. Hill, A. Labeyrie, J. Le Merrer, S. Menardi, G. Merlin, G. Moreaux, R. Petrov, S. Rebattu, K. Rousselet-Perraut, Ph. Stee, I. Tallon-Bosc, J. Trastour, F. Vakili, C. Verinaud, C. Voet, G. Vaultier, “The GI2T/REGAIN interferometer,” in Astronomical Interferometry, R. D. Reasenberg, ed., Proc. SPIE3350, 517–525 (1998). [CrossRef]
  8. S. Ragland, D. Bonneau, D. Mourard, P. Berio, “Interferometric investigations of highly evolved stars,” in Interferometry in Optical Astronomy, P. J. Léna, A. Quirrenbach, eds., Proc. SPIE4006, 523–530 (2000). [CrossRef]
  9. P. Berio, Ph. Stee, D. Mourard, D. Bonneau, O. Chesneau, N. Thureau, D. Le Mignant, R. Hirata, “Interferometic insight into γ Cassiopeiae long-term variability,” Astron. Astrophys. 345, 203–210 (1999).
  10. F. Vakili, D. Mourard, Ph. Stee, D. Bonneau, P. Berio, O. Chesneau, N. Thureau, F. Morand, “Evidence of one-armed oscillations in the equatorial disk of ζ Tau from GI2T spectrally resolved interferometry,” Astron. Astrophys. 335, 261–265 (1998).
  11. F. Vakili, D. Mourard, D. Bonneau, F. Morand, Ph. Stee, “Subtle structures in the wind of P Cygni,” Astron. Astrophys. 323, 183–188 (1997).
  12. F. Roddier, P. Léna, “Long-baseline Michelson interferometry with large ground-based telescopes operating at optical wavelengths,” J. Opt. (Paris) 15, 171–182 (1984). [CrossRef]
  13. A. Papoulis, Probability Random Variables and Stochastic Processes (McGraw-Hill, New York, 1965).

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