Phase retrieval with transverse translation diversity: a nonlinear optimization approach | Zendy

Manuel GuizarSicairos | Zendy; James R. Fienup | Zendy

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Phase retrieval with transverse translation diversity: a nonlinear optimization approach

Author(s) -

Manuel GuizarSicairos,

James R. Fienup

Publication year - 2008

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.16.007264

Subject(s) - phase retrieval , optics , metric (unit) , translation (biology) , nonlinear system , computer science , transverse plane , algorithm , object (grammar) , noise (video) , nonlinear programming , physics , optimization problem , artificial intelligence , fourier transform , image (mathematics) , biochemistry , operations management , chemistry , structural engineering , quantum mechanics , messenger rna , engineering , economics , gene

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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