Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging

Details Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging

2011-02-18

arxiv.org/abs/1102.3838v2

Optics Express Vol.19, Iss.20, pp.19330-19339 (2011)

Physics

Optics

13 pages, 7 figures

Scientific paper

10.1364/OE.19.019330

Coherent diffraction imaging (CDI) for visualizing objects at atomic resolution has been realized as a promising tool for imaging single molecules. Drawbacks of CDI are associated with the difficulty of the numerical phase retrieval from experimental diffraction patterns; a fact which stimulated search for better numerical methods and alternative experimental techniques. Common phase retrieval methods are based on iterative procedures which propagate the complex-valued wave between object and detector plane. Constraints in both, the object and the detector plane are applied. While the constraint in the detector plane employed in most phase retrieval methods requires the amplitude of the complex wave to be equal to the squared root of the measured intensity, we propose a novel Fourier-domain constraint, based on an analogy to holography. Our method allows achieving a low-resolution reconstruction already in the first step followed by a high-resolution reconstruction after further steps. In comparison to conventional schemes this Fourier-domain constraint results in a fast and reliable convergence of the iterative reconstruction process.

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