Title
Boolean approximation of a phase-coded aperture diffraction pattern system for X-ray crystallography
Abstract
The phase retrieval problem involves recovering the phase of a signal from the amplitude of its Fourier transform. Recently, a phase recovery approach for a coded aperture-based acquisition system was proposed. The modulation is realized before the signal being diffracted, such that the underlying signal is recovered from coded diffraction patterns. Moreover, the modulation effect before diffraction can be obtained by using a phase coded aperture located after the sample under study. However, the practical implementation of a phase coded aperture in an X-ray application is not feasible, since it results in a matrix with complex entries and it requires changing the phase of the diffracted beams. Hence, this paper describes a coded X-ray diffraction pattern system based on block-unblock (Boolean) coded apertures that, unlike the phase coded apertures are easily implementable. The proposed system approximates the phase coded aperture by a block-unblock coded aperture by using the detour-phase method. This work used the SAXS/WAXS X-ray crystallography software to simulate the diffraction patterns of a real crystal structure called Rhombic Dodecahedron. Several simulations were realized to obtain the performance of some Boolean approximations in recovering the phase using the simulated diffraction pattern images. The quality of the reconstructions attain up to 22dB in terms of the Peak-Signal-to-Noise-Ratio.
Year
DOI
Venue
2017
10.1109/CAMSAP.2017.8313144
2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
Keywords
Field
DocType
modulation effect,X-ray application,diffracted beams,coded X-ray diffraction pattern system,detour-phase method,Boolean approximation,simulated diffraction pattern images,Peak-Signal-to-Noise-Ratio,phase retrieval problem,phase recovery approach,coded aperture-based acquisition system,coded diffraction patterns,phase-coded aperture diffraction pattern system,Fourier transform,block-unblock coded apertures,SAXS-WAXS X-ray crystallography software,real crystal structure,rhombic dodecahedron
Aperture,Phase retrieval,Coded aperture,Optics,Fourier transform,Modulation,Diffraction,Detector,Rhombic dodecahedron,Physics
Conference
ISBN
Citations 
PageRank 
978-1-5386-1252-1
0
0.34
References 
Authors
3
3
Name
Order
Citations
PageRank
Samuel Pinilla135.55
Tatiana Gelvez202.03
Henry Arguello39030.83