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Phase retrieval with transverse translation diversity: a nonlinear optimization approach

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Guizar-Sicairos, Manuel, Fienup, James R.·2008·Optics Express

Abstract

We develop and test a nonlinear optimization algorithm for solving the problem of phase retrieval with transverse translation diversity, where the diverse far-field intensity measurements are taken after translating the object relative to a known illumination pattern. Analytical expressions for the gradient of a squared-error metric with respect to the object, illumination and translations allow joint optimization of the object and system parameters. This approach achieves superior reconstructions, with respect to a previously reported technique [H. M. L. Faulkner and J. M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004)], when the system parameters are inaccurately known or in the presence of noise. Applicability of this method for samples that are smaller than the illumination pattern is explored.

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Metadata

Authors
Guizar-Sicairos, M., & Fienup, J. R.
Venue
Optics Express
Published
2008-05-05
Volume
16
Issue
10
Pages
7264
ISSN
1094-4087 (ISSN-L)
OpenAlex
W2143847003
Cited by
525
References
0
FWCI
14.82
Type
journal article
Language
en
Open access
gold

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CoChat. (2026). Citation check: Phase retrieval with transverse translation diversity: a nonlinear optimization approach. https://app.cochat.ai/papers/10.1364/oe.16.007264
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Guizar-Sicairos, M., & Fienup, J. R. (2008). Phase retrieval with transverse translation diversity: a nonlinear optimization approach. Optics Express. https://doi.org/10.1364/oe.16.007264

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