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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

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)

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  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]
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  6. R. Petrov, F. Roddier, C. Aime, “Signal to noise ratio in differential speckle interferometry,” J. Opt. Soc. Am. A 3, 634–644 (1986). [CrossRef]
  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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