Theoretical Study of Neutron Reflection from Thin Films and Layered Nanostructures Containing Highly Absorbing Gadolinium and Boron Isotopes

Yu. A. Salamatov; Саламатов Ю. А.; E. A. Kravtsov; Кравцов Е. А.

doi:10.31857/S1028096023080125

Theoretical Study of Neutron Reflection from Thin Films and Layered Nanostructures Containing Highly Absorbing Gadolinium and Boron Isotopes

Authors: Salamatov Y.A.¹, Kravtsov E.A.¹
Affiliations:
1. M.N. Mikheev Institute of Metal Physics of Ural Branch RAS
Issue: No 8 (2023)
Pages: 32-39
Section: Articles
URL: https://rjmseer.com/1028-0960/article/view/664519
DOI: https://doi.org/10.31857/S1028096023080125
EDN: https://elibrary.ru/OELHUM
ID: 664519

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Abstract

The application of the method of phase-amplitude functions to the calculation of neutron propagation processes in layered media containing highly absorbing elements is described. This method allows us to simultaneously calculate the reflection, transmission and absorption coefficients of neutrons. It requires less computing resources than the other algorithms. A generalization of the method to matrix equations used in polarized neutron reflectometry is also presented. Examples of calculations of various characteristics of neutron propagation for layered resonator-type systems with a potential well are given.

Keywords

neutron reflectometry, neutron absorption, neutron scattering length density, resonant interaction, neutron detectors, phase problem, planar nanostructures, superlattice, interaction potential, nonlinear differential equation, Runge–Kutta method, Levenberg–Marquardt algorithm, polarized neutron reflectometry, nonlinear matrix equation.

About the authors

Yu. A. Salamatov

M.N. Mikheev Institute of Metal Physics of Ural Branch RAS

Author for correspondence.
Email: salamatov@imp.uran.ru
Russia, 620137, Ekaterinburg

E. A. Kravtsov

M.N. Mikheev Institute of Metal Physics of Ural Branch RAS

Author for correspondence.
Email: kravtsov@imp.uran.ru
Russia, 620137, Ekaterinburg

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