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

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