Bispectral analysis at low light levels and astronomical speckle masking

Physics – Optics

Scientific paper

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Astronomical Photometry, Fourier Transformation, Speckle Patterns, Spectrum Analysis, Atmospheric Turbulence, Interferometry, Photons, Power Spectra, Signal To Noise Ratios, Turbulence Effects

Scientific paper

The bispectrum is the Fourier transform of the triple correlation, sometimes also referred to as the triple-product integral. The influence of photon noise on the bispectrum of an image-intensity distribution is discussed. As an example, the astronomical speckle-masking method is considered. Speckle masking is a method to overcome image degradation that is due to the turbulent atmosphere. It is shown theoretically that bispectral analysis in speckle masking should yield true, diffraction-limited images in all those cases in which the speckle-interferometry process has been successful in reconstructing the object autocorrelation.

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