Open AccessA non-iterative reconstruction method for direct and unambiguous coherent diffractive imaging
Author(s) -
Sergey Podorov,
Konstantin Mikhailovitch Pavlov,
David M. Paganin
Publication year - 2007
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.009954
Subject(s) - optics , coherent diffraction imaging , diffraction , ptychography , fourier transform , iterative reconstruction , sample (material) , scalar (mathematics) , phase retrieval , inverse problem , iterative method , algorithm , physics , stability (learning theory) , holography , fourier optics , fresnel diffraction , computer science , mathematics , computer vision , mathematical analysis , geometry , quantum mechanics , machine learning , thermodynamics
We develop a deterministic algorithm for coherent diffractive imaging (CDI) that employs a modified Fourier transform of a Fraunhofer diffraction pattern to quantitatively reconstruct the complex scalar wavefield at the exit surface of a sample of interest. The sample is placed in a uniformly-illuminated rectangular hole with dimensions at least two times larger than the sample. For this particular scenario, and in the far-field diffraction case, our non-iterative reconstruction algorithm is rapid, exact and gives a unique analytical solution to the inverse problem. The efficacy and stability of the algorithm, which may achieve resolutions in the nanoscale range, is demonstrated using simulated X-ray data.