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

Abstract

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.

13 pages, 7 figures

References in corpus (2)

• X-ray image reconstruction from a diffraction pattern alone
• Ultrafast, ultrabright, X-ray holography using a uniformly-redundant array

Cited by in corpus (6)

• Iterative phase retrieval in coherent diffractive imaging: practical issues
• When holography meets coherent diffraction imaging
• Undersampled Phase Retrieval with Outliers
• Proximity Operators for Phase Retrieval
• Coherent microscopy at resolution beyond diffraction limit using post-experimental data extrapolation
• Phase retrieval methods applied to coherent imaging