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
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)