Linear Methods In Phase Retrieval

Brent Ellerbroek; Diane Morrison

doi:10.1117/12.933916

1 August 1983 Linear Methods In Phase Retrieval

Brent Ellerbroek, Diane Morrison

Proceedings Volume 0351, Wavefront Sensing; (1983) https://doi.org/10.1117/12.933916
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

Abstract

On-orbit wavefront sensing and active alignment control are essential features of many spaceborne optical systems currently being developed. Phase retrieval is an especially appropriate wavefront sensing technique for this application, because it directly monitors system image quality and eliminates or reduces the need for auxiliary wavefront sensors. Although the general phase retrieval problem is highly complex and requires sophisticated nonlinear estimation techniques, properly selected linear methods provide satisfactory and efficient solutions to a number of important special cases. This paper discusses the performance of several such linear phase retrieval algorithms. One method yields noise-optimal estimates of small wavefront errors, while a second approach can be used with arbitrarily large errors but is much more sensitive to noise. These two phase retrieval algorithms are actually special cases of a general linear algorithm that can be tuned as a function of wavefront error characteristics, measurement noise statistics, and focal plane detector geometry.

Citation Download Citation

Brent Ellerbroek and Diane Morrison "Linear Methods In Phase Retrieval", Proc. SPIE 0351, Wavefront Sensing, (1 August 1983); https://doi.org/10.1117/12.933916

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