Phase retrieval from single biomolecule diffraction pattern

Details Phase retrieval from single biomolecule diffraction pattern Phase retrieval from single biomolecule diffraction pattern

2011-01-07

arxiv.org/abs/1101.1442v5

Physics

Data Analysis, Statistics and Probability

13 pages, 13 figures, submitted for a journal

Scientific paper

In this paper, we propose the SPR (sparse phase retrieval) method, which is a new phase retrieval method for coherent x-ray diffraction imaging (CXDI). Conventional phase retrieval methods effectively solve the problem for high signal-to-noise ratio measurements, but would not be sufficient for single biomolecular imaging which is expected to be realized with femto-second x-ray free electron laser pulses. The SPR method is based on the Bayesian statistics. It does not need to set the object boundary constraint that is required by the commonly used hybrid input-output (HIO) method, instead a prior distribution is defined with an exponential distribution and used for the estimation. Simulation results demonstrate that the proposed method reconstructs the electron density under a noisy condition even some central pixels are masked.

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