A Comparison Of Phase Retrieval Algorithms Applied To Infrared Astronomical Speckle Data

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Abstract
We have implemented four phase retrieval techniques for one-dimensional infrared specklegrams: bispectrum analysis, Knox-Thompson, phase-gradient, and simple-shift-and-add. Special emphasis has been placed on the problems of phase retrieval using these algorithms. We have developed a detailed statistical analysis for each technique and have computed error bars for the retrieved object phases. The performance of these four techniques has been compared using simulated point source and extended object data both observed under different signal-to-noise conditions. We make recomendations as to which method produces the best precision in the final result with respect to computation time and ease of implementation. Since each algorithm, especially the bispectrum, becomes more formidable when applied to two-dimensional data this study is both timely and useful.

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