Bayesian Analysis of Stellar Optical Interferometer Data

Astronomy and Astrophysics – Astronomy

Scientific paper

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Interferometry, Astrometric And Interferometric Instruments, Inference Methods

Scientific paper

I describe a work in progress that uses Bayes' theorem, model selection, and marginalization in the analysis of photon count data frames from a stellar optical interferometer (the Navy Prototype Optical Interferometer). These data frames in general have between 1-6 stellar fringes (baselines) present. I show how Bayes factors provide a direct way of determining the number of fringes that are present in each data frame. I describe briefly the traditional Fourier-based technique for computing optical interferometry data products. A Bayesian approach, in addition to providing model selection directly from the data frames, also provides a way of combining the computed data products from each data frame in a manner that intrinsically handles the varying SNRs between the data frames. I use simulated data to show comparisons between my Bayesian approach and the traditional Fourier-based technique for the analysis of such data.

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