Optimum weighting function in bispectral analysis in speckle interferometry - Binary star parity detection

Astronomy and Astrophysics – Astronomy

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Binary Stars, Speckle Interferometry, Spectrum Analysis, Weighting Functions, Atmospheric Turbulence, Image Processing, Seeing (Astronomy), Signal To Noise Ratios

Scientific paper

In order to describe the atmospheric turbulence which limits the resolution of long-exposure images obtained using ground-based large telescopes, a simplified model of a speckle pattern, reducing the complexity of calculating field-correlations of very high order, is presented. Focal plane correlations are used instead of correlations in the spatial frequency domain. General tripple correlations for a point source and for a binary are calculated and it is shown that they are not a strong function of the binary separation. For binary separations close to the diffraction limit of the telescope, the genuine triple correlation technique ensures a better SNR than the near-axis Knox-Thompson technique. The simplifications allow a complete analysis of the noise properties at all levels of light.

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