Retrieval of a Complex-Valued Object from its Diffraction Pattern

W. McBride, N. L. O'Leary, and L. J. Allen
Phys. Rev. Lett. 93, 233902 – Published 1 December 2004

Abstract

It is commonly understood that the retrieval of a complex-valued object from its diffraction pattern using a support constraint is a difficult problem, the more so if the support is symmetric. In this Letter we show that, for just such a symmetric support, use of an iterative algorithm in which the basic iteration is specified by a difference map converges routinely. All that is required is sufficient oversampling in the diffraction pattern coupled with judicious choices of the parameters defining the difference map.

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  • Received 3 September 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.233902

©2004 American Physical Society

Authors & Affiliations

W. McBride, N. L. O'Leary, and L. J. Allen

  • School of Physics, University of Melbourne, Victoria 3010, Australia

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Issue

Vol. 93, Iss. 23 — 3 December 2004

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