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

Jonathan D. Freeman; Julian C. Christou; Donald W. McCarthy Jr.; Michael L. Cobb

doi:10.1117/12.942077

29 January 1988 A Comparison Of Phase Retrieval Algorithms Applied To Infrared Astronomical Speckle Data

Jonathan D. Freeman, Julian C. Christou, Donald W. McCarthy Jr., Michael L. Cobb

Proceedings Volume 0828, Digital Image Recovery and Synthesis; (1988) https://doi.org/10.1117/12.942077
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

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.

Citation Download Citation

Jonathan D. Freeman, Julian C. Christou, Donald W. McCarthy Jr., and Michael L. Cobb "A Comparison Of Phase Retrieval Algorithms Applied To Infrared Astronomical Speckle Data", Proc. SPIE 0828, Digital Image Recovery and Synthesis, (29 January 1988); https://doi.org/10.1117/12.942077

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