Maximum-magnitude estimation of the object's power spectrum in stellar speckle interferometry

Physics – Optics

Scientific paper

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Interferometry, Power Spectra, Speckle Patterns, Stellar Magnitude, Binary Stars, Fourier Transformation, Maxima, Optical Transfer Function

Scientific paper

The maximum Fourier magnitude taken over a set of speckle images is proposed as a replacement for the standard power-spectrum average. This new statistic estimates the diffraction-limited object-times-telescope magnitude values in a statistically unbiased and sufficient fashion and has a variance that decreases with sample size faster than the average magnitude's variance. Simultaneous imaging of a nearby point source is unnecessary with this technique, and any object that lies within a single isoplanatic patch of the atmosphere can be estimated. Magnitude-estimation results of the double star Capella are shown to corroborate these claims.

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