S.N.R. analysis of super-resolving chromatic position difference techniques in astronomy

Physics – Optics

Scientific paper

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Angular Resolution, Astrometry, Binary Stars, Interferometry, Signal To Noise Ratios, Stellar Spectra, Asymptotic Methods, Factorials, Imaging Techniques

Scientific paper

Image statistics are used to determine the signal-to-noise ratio to be expected from astronomical super-resolution techniques relying on the detection of very small chromatic position differences. The analysis is based on clearly developed probability considerations and enables a simple relationship to be established between a given theoretical angular resolution and the required photon count (or apparent source magnitude for given observing conditions). Practical conclusions are drawn for the case of state-of-the-art 2D detectors used with these techniques, and show that submilliarcsecond resolution can be achieved with bright stars.

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