A numerical exploration of phase-retrieval error-metric surfaces

Alden S. Jurling; James R. Fienup

doi:10.1117/12.2056292

7 August 2014 A numerical exploration of phase-retrieval error-metric surfaces

Alden S. Jurling, James R. Fienup

Proceedings Volume 9148, Adaptive Optics Systems IV; 91486N (2014) https://doi.org/10.1117/12.2056292
Event: SPIE Astronomical Telescopes + Instrumentation, 2014, Montréal, Quebec, Canada

Abstract

The search spaces in nonlinear optimization phase retrieval problems are of high dimensionality, making them difficult to visualize. Using a simplified low-order model, we explore the shape of the phase retrieval error surfaces using two-dimensional (2D) slices to visualize the relationship between different aberrations. We show how different pairs of aberrations exhibit very different coupling with one another and different distributions and frequencies of local minima, and discuss how this relates to the phase retrieval capture-range problem.

Citation Download Citation

Alden S. Jurling and James R. Fienup "A numerical exploration of phase-retrieval error-metric surfaces", Proc. SPIE 9148, Adaptive Optics Systems IV, 91486N (7 August 2014); https://doi.org/10.1117/12.2056292

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