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Phys Rev Lett. 2004 Dec 3;93(23):233902. Epub 2004 Dec 1.

Retrieval of a complex-valued object from its diffraction pattern.

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


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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