Analytical Model of Formation of the Phase-Contrast Images for Inhomogeneous Noncrystalline Objects with Arbitrary Shape

S. V. Lizunova$^{1}$, B. V. Sheludchenko$^{1}$, V. B. Molodkin$^{1}$, M. H. Tolmachov$^{1}$, G. Е. Ice$^{2}$, R. I. Barabash$^{2}$, V. Yu. Storizhko$^{3}$, V. V. Lizunov$^{1}$, K. V. Fuzik$^{1}$, G. O. Velikhovskii$^{1}$, V. V. Molodkin$^{1}$, S. V. Dmitriev$^{1}$, L. M. Skapa$^{1}$

$^{1}$G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03680 Kyiv-142, Ukraine
$^{2}$Oak Ridge National Laboratory, Oak Ridge, 37831-6118 Tennessee, USA
$^{3}$Institute of Applied Physics, NAS of Ukraine, 58 Petropavlivska Str., 40000 Sumy, Ukraine

Received: 29.12.2016. Download: PDF

In this paper, the generalized theoretical model of phase-contrast formation by triple-axis method is developed for inhomogeneous noncrystalline objects with arbitrary shape. This model takes into account self-consistently and analytically the effects of total X-ray multiple scattering on both the periodical or constant (uniform at the average) components of objects’ susceptibility and, for the first time, on the fluctuation ones. The complete multiplicity of scattering is taken into account for both the monochromator and analyser single-crystals and the object under investigation. As shown, the use of both the developed model and the phase-variational principles of formation and interpretation of the phase-contrast images established on basis of it allows to describe analytically the experimentally observed increasing of sensitivity and to provide with the possibility of a solution in principle for the inverse problem and the problem of non-destructive multiparametric diagnostics.

Key words: phase-contrast images, analyser-based imaging, inhomogeneous noncrystalline objects, refraction, dynamical theory.

URL: http://mfint.imp.kiev.ua/en/abstract/v39/i02/0143.html

DOI: https://doi.org/10.15407/mfint.39.02.0143

PACS: 07.85.Jy, 07.85.Qe, 61.05.cc, 87.57.cj, 87.59.-e

Citation: S. V. Lizunova, B. V. Sheludchenko, V. B. Molodkin, M. H. Tolmachov, G. Е. Ice, R. I. Barabash, V. Yu. Storizhko, V. V. Lizunov, K. V. Fuzik, G. O. Velikhovskii, V. V. Molodkin, S. V. Dmitriev, and L. M. Skapa, Analytical Model of Formation of the Phase-Contrast Images for Inhomogeneous Noncrystalline Objects with Arbitrary Shape, Metallofiz. Noveishie Tekhnol., 39, No. 2: 143—162 (2017) (in Russian)


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