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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 10 — May. 12, 2008
  • pp: 7264–7278

Phase retrieval with transverse translation diversity: a nonlinear optimization approach

Manuel Guizar-Sicairos and James R. Fienup  »View Author Affiliations

Optics Express, Vol. 16, Issue 10, pp. 7264-7278 (2008)

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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.

© 2008 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(110.7440) Imaging systems : X-ray imaging
(340.7480) X-ray optics : X-rays, soft x-rays, extreme ultraviolet (EUV)
(110.3200) Imaging systems : Inverse scattering

ToC Category:
Image Processing

Original Manuscript: March 27, 2008
Manuscript Accepted: April 24, 2008
Published: May 5, 2008

Virtual Issues
Vol. 3, Iss. 6 Virtual Journal for Biomedical Optics

Manuel Guizar-Sicairos and James R. Fienup, "Phase retrieval with transverse translation diversity: a nonlinear optimization approach," Opt. Express 16, 7264-7278 (2008)

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  39. Image modified from an original courtesy of Universidad Autónoma de Nuevo León, Mexico.

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