Physics – Optics
Scientific paper
Sep 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988josaa...5.1477n&link_type=abstract
Optical Society of America, Journal, A: Optics and Image Science (ISSN 0740-3232), vol. 5, Sept. 1988, p. 1477-1491.
Physics
Optics
22
Signal To Noise Ratios, Speckle Interferometry, Spectrum Analysis, Heuristic Methods, Luminous Intensity, Modulation Transfer Function, Monte Carlo Method, Screen Effect
Scientific paper
Monte Carlo simulations of an atmospheric phase screen, based on a Kolmogorov spectrum of phase fluctuations, were performed. Speckle patterns produced from the phase screens were used to derive statistical properties of power spectra and bispectra of speckle interferograms. The bispectral modulation transfer function and its signal-to-noise ratio at high light levels are presented. The results confirm the validity of a heuristic treatment based on an interferometric picture of speckle pattern formation in deriving the attenuation factor and the signal-to-noise ratio of the bispectral modulation tranfer function in the mid-spatial-frequency range. The derived modulation tranfer function is also interpreted in terms of the signal-to-noise ratio at low light levels. A general expression of the signal-to-noise ratio of the bispectrum is derived as a function of the transfer functions of the telescope, the number of speckles, and the mean photon counts in the mid-spatial-frequency range.
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