Theoretical Three-Axes Model of Dynamical Scattering and Formation of Noncrystalline Objects’ Image

Sheludchenko, B. V.; Molodkin, V. B.; Lizunova, S. V.; Olikhovskyi, S. J.; Kyslovskyi, Ye. M.; Gaevskyi, O. Yu.; Lizunov, V. V.; Nizkova, A.I.; Vladimirova, T. P.; Molodkin, V. V.; Fuzyk, K. V.; Goshkoderya, A. V.; Bilotska, A. O.; Velikhovskyi, G. O.; Muzychenko, A. A.; Lekhnyak, R. V.

doi:10.15407/mfint.36.04.0559

Cited by 5 publications

(5 citation statements)

References 8 publications

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“…All further calculations are made using the model, suggested in [15][16][17]. The model allows taking into account the effects of dynamical scattering in both the monochromator and the analyzer, as well as in the non-crystalline object.…”

Section: The Influence Of Object's Inhomogeneity and Instrumental Facmentioning

confidence: 99%

Solving of Direct and Inverse Scattering Problems for Heterogeneous Non-Crystalline Objects in Analyzer-Based Imaging

Velikhovskyi¹,

Molodkin²,

Lizunov³

et al. 2019

Metallofiz. Noveishie Tekhnol.

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This article introduces a theoretical model for analyzer-based imaging of non-crystalline objects that takes into account the impact of microscopic and macroscopic heterogeneities within the object as well as the instrumental factors. The model includes particular phase variational features required for solving the inverse scattering problem. It provides the possibility to reconstruct the shape of the object from a set of intensity profiles.

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Section: The Influence Of Object's Inhomogeneity and Instrumental Facmentioning

confidence: 99%

Solving of Direct and Inverse Scattering Problems for Heterogeneous Non-Crystalline Objects in Analyzer-Based Imaging

Velikhovskyi¹,

Molodkin²,

Lizunov³

et al. 2019

Metallofiz. Noveishie Tekhnol.

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“…The solution of Eqs. (–) is similar to that described in . Generalizing equation for multilayer case boundary conditions for any subsequent surface with a suitable replacement of indexes can be written:

K_{i}^{2} - K_{normali + 1}^{2} = V_{normali + 1} - {normalV}_{normali}

K_{i + 1 | |} = K_{normali thickmathspacethickmathspace| thickmathspacethickmathspace|}

K_{normali + 1 ⊥} = K_{normali ⊥} + Δ K_{normali + 1}

K_{normali + 1} = K_{i} + K_{0} δ_{normali + 1} e_{normali + 1}

{boldnormalK}_{i + 1}^{2} = K_{i}^{2} + K_{0}^{2} δ_{normali + 1}^{2} + 2 K_{0} δ_{normali + 1} K_{i}

…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The solution of Eqs. (4-6) is similar to that described in [14]. Generalizing equation for multilayer case boundary conditions for any subsequent surface with a suitable replacement of indexes can be written:…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…After interaction with the substance, scanning beam will deviate from the original direction with small deflection angles (about tenths arcsec). This allows one to use the ‘column partitioning’ (similarly to ): the object may be divided to set of columns parallel to the incident beam. Within each of them, the surfaces between different layers are approximately replaced with flat ones, which are inclined at an arbitrary angle, Fig .…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The quantum‐mechanical theoretical model describing both the refraction process and the phase shift of refracted rays on the way through the non‐crystalline monolayer object with arbitrary shape, in which above mentioned shortcomings have been corrected, has been developed by authors in . It should be noted, that the proposed approach, which includes successive taking into account multiple scattering effects has been implemented successfully in author's works for determination of characteristics of nanoscale structure imperfections for crystal nano‐industry product .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum‐mechanical model for phase‐contrast imaging of non‐crystalline objects

Molodkin

Velikhovskii

Lizunova

et al. 2016

Materialwissenschaft Werkst

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The quantum-mechanical theoretical model for the quantitative description of phase contrast images from non-crystalline objects with arbitrary shapes has been developed. It takes into account multiple scattering effects both in the object (particularly, refraction and phase change) and in the crystals of monochromator and analyzer. Presence of homogeneously and inhomogeneously distributed microdefects and macrodeformations in monochromator-and analyzer-crystals, which influence significantly on the scattering pattern, has been taken into account.

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