The Influence of Asymmetric Diffraction on the Spectral-Angular Density of the CRI of a Relativistic Electron in a Three-Layer Structure

Authors

DOI:

https://doi.org/10.52575/2687-0959-2025-57-1-59-67

Keywords:

Periodic Layered Structure, Dynamic Diffraction, Coherent X-ray Radiation, Asymmetric Diffraction

Abstract

The work is devoted to the study of the possibility of manifestation of the effect of asymmetric diffraction in coherent X-ray radiation of relativistic electrons in a periodic layered medium with three layers in the period. Coherent X-ray radiation is considered as the sum of parametric X-ray radiation and diffracted transition radiation. Expressions describing the spectral-angular densities of coherent X-ray radiation are obtained and studied.

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Author Biographies

Anton V. Noskov, Moscow Technical University of Communications and Informatics

Doctor of Physical and Mathematical Sciences, Head of the Department of Physics, Moscow Technical University of Communications and Informatics,
Moscow, Russia
E-mail: a.v.noskov@mtuci.ru
ORCID: 0000-0003-0964-3072

Sergey V. Blazhevich, Belgorod National Research University

Doctor of Physical and Mathematical Sciences, Professor of the Department of Theoretical and Experimental Physics, Belgorod National Research University,
Belgorod, Russia
ORCID: 0000-0002-7499-842X

Anastasia I. Chueva, Belgorod National Research University

Graduate Student of the Department of Theoretical and Experimental Physics, Belgorod National Research University,
Belgorod, Russia
ORCID: 0000-0002-5945-18729

Deni D. Machukaev, Belgorod State Shukhov’s Technological University

Graduate Student of the Department of Theoretical and Applied Chemistry, Belgorod State Shukhov’s Technological University,
Belgorod, Russia
ORCID: 0009-0008-8766-5748

Vladislav K. Kipersha, Belgorod State Shukhov’s Technological University

Graduate Student of the Department of Theoretical and Applied Chemistry, Belgorod State Shukhov’s Technological University,
Belgorod, Russia
ORCID: 0009-0004-6058-7904

References

Список литературы

Nasonov N.N., Kaplin V.V., Uglov S.R., Piestrup M.A. and Gary C.K. X rays from relativistic electrons in a multilayer structure. Physical Review E. 2023;68(3):036504.

Garibian G.M. and Yang C. Quantum microscopic theory of radiation by a charged particle moving uniformly in a crystal. Soviet Journal of Experimental and Theoretical Physics. 1972;34:495.

Baryshevsky V.G., Feranchuk I.D. Transition radiation of y-rays in a crystal. Soviet Journal of Experimental and Theoretical Physics. 1972;34:502.

Caticha A. Transition-diffracted radiation and the Cerenkov emission of x-rays. Physical Review A. 1989; 40(8):4322.

Nasonov N.N. Influence of the density effect upon the parametric x-rays of high energy particles. Physics Letters A. 1998;246:148.

Kaplin V.V. et al. Observation of bright monochromatic x rays generated by relativistic electrons passing through a multilayer mirror Applied Physics Letters. 76. 2000;24:3647-3649.

Blazhevich S.V., Kolosova I.V. and Noskov A.V. Coherent x-ray radiation generated by a relativistic electron in an artificial periodic structure. Journal of Experimental and Theoretical Physics. 2012;114:547-554.

Blazhevich S.V., Noskov A.V. Dynamic theory of coherent X-radiation of relativistic electron within a periodic layered medium in Bragg scattering geometry. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 2013;309:70-75.

Potylitsyn A. Electromagnetic Radiation of Electrons in Periodic Structures. Springer. 2011.216 p.

Uglov S.R., Kaplin V.V., Kubankin A.S. et.al. Cr/Sc multilayer radiator for parametric EUV radiation in “water-window” spectral range. Journal of Physics: Conference Series. 2016;732(1):012017.

Shevelev M.V., Uglov S.R., Vukolov A.V. Spectrum of coherent VUV radiation generated by 5.7 MeV electrons in a multilayer X-ray mirror. Journal of Instrumentation. 2024;19(4):C04049.

Huang S., Duan R., Pramanik N., Herrin J.S., Boothroyd C., Liu Z. & Wong L.J. Quantum recoil in free-electron interactions with atomic lattices. Nature Photonics. 2023;17(3):224-230.

Huang S., Duan R., Pramanik N., Boothroyd C., Liu Z., Wong L.J. Enhanced Versatility of Table-Top X-Rays from Van der Waals Structures. Advanced Science. 2022;9(16):2105401.

Shi X., Kurman Y., Shentcis M., Wong L.J., Javier Garcia de Abajo F. and Kaminer I. Free-electron interactions with van der Waals heterostructures: a source of focused X-ray radiation. Light: Science & Applications. 2023;12(1):148.

Blazhevich S.V., Noskov A.V. Coherent X-ray Radiation Generated by a Relativistic Electron Beam in a Periodic Layered Medium in the Bragg Scattering Geometry. Journal of Experimental and Theoretical Physics. 2017;125(2):223–234.

Blazhevich S.V., Drygina Yu.A., Shevchuk O.Yu., Noskov A.V. Coherent X-Ray Radiation Generated Near the Axis of the Beam of Relativistic Electrons in an Artificial Periodic Structure. Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques. 2020;14(3):586-595.

Носков А.В., Бондаренко В.А., Блажевич С.В., Юрьева А.А., Федосеев А.Э. О влиянии многократного рассеяния на переходное излучение в монокристалле. Прикладная математика & Физика. 2023;55(2):183–192.

Носков А.В., Киперша В.К., Блажевич С.В., Плесканев А.А., Ильинский Р.Ю., Волошкина Е.В. Спектрально-угловые плотности переходного излучения и дифрагированного переходного излучения релятивистских электронов в периодической слоистой среде. Прикладная математика & Физика. 2024;56(1):66–74.

References

Nasonov NN, Kaplin VV, Uglov SR, Piestrup MA and Gary CK. X rays from relativistic electrons in a multilayer structure. Physical Review E. 2023;68(3):036504.

Garibian GM and Yang C. Quantum microscopic theory of radiation by a charged particle moving uniformly in a crystal. Soviet Journal of Experimental and Theoretical Physics. 1972;34:495.

Baryshevsky VG, Feranchuk ID. Transition radiation of y-rays in a crystal. Soviet Journal of Experimental and Theoretical Physics. 1972;34:502.

Caticha A. Transition-diffracted radiation and the Cerenkov emission of x-rays. Physical Review A. 1989; 40(8):4322.

Nasonov NN. Influence of the density effect upon the parametric x-rays of high energy particles. Physics Letters A. 1998;246:148.

Kaplin VV. et al. Observation of bright monochromatic x rays generated by relativistic electrons passing through a multilayer mirror Applied Physics Letters. 76. 2000;24:3647-3649.

Blazhevich SV, Kolosova IV and Noskov AV. Coherent x-ray radiation generated by a relativistic electron in an artificial periodic structure. Journal of Experimental and Theoretical Physics. 2012;114:547-554.

Blazhevich SV, Noskov AV. Dynamic theory of coherent X-radiation of relativistic electron within a periodic layered medium in Bragg scattering geometry. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 2013;309:70-75.

Potylitsyn A. Electromagnetic Radiation of Electrons in Periodic Structures. Springer. 2011.216 p.

Uglov SR, Kaplin VV, Kubankin AS. et.al. Cr/Sc multilayer radiator for parametric EUV radiation in “water-window” spectral range. Journal of Physics: Conference Series. 2016;732(1):012017.

Shevelev M.V., Uglov S.R., Vukolov A.V. Spectrum of coherent VUV radiation generated by 5.7 MeV electrons in a multilayer X-ray mirror. Journal of Instrumentation. 2024;19(4):C04049.

Huang S, Duan R, Pramanik N, Herrin JS, Boothroyd C., Liu Z. & Wong L.J. Quantum recoil in free-electron interactions with atomic lattices. Nature Photonics. 2023;17(3):224-230.

Huang S, Duan R, Pramanik N, Boothroyd C, Liu Z, Wong LJ. Enhanced Versatility of Table-Top X-Rays from Van der Waals Structures. Advanced Science. 2022;9(16):2105401.

Shi X, Kurman Y, Shentcis M, Wong LJ., Javier Garcia de Abajo F. and Kaminer I. Free-electron interactions with van der Waals heterostructures: a source of focused X-ray radiation. Light: Science & Applications. 2023;12(1):148.

Blazhevich SV, Noskov AV. Coherent X-ray Radiation Generated by a Relativistic Electron Beam in a Periodic Layered Medium in the Bragg Scattering Geometry. Journal of Experimental and Theoretical Physics. 2017;125(2):223–234.

Blazhevich SV, Drygina YuA, Shevchuk OYu, Noskov AV. Coherent X-Ray Radiation Generated Near the Axis of the Beam of Relativistic Electrons in an Artificial Periodic Structure. Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques. 2020;14(3):586-595.

Noskov AV., Bondarenko VA., Blazhevich SV., Yuryeva AA., Fedoseev AE. On the influence of multiple scattering on transition radiation in a single crystal. Applied Mathematics & Physics. 2023;55(2):183–192.

Noskov AV., Kipersha VK., Blazhevich SV., Pleskanev AA., Ilyinsky RYu., Voloshkina EV. Spectral-angular densities of transition radiation and diffracted transition radiation of relativistic electrons in a periodic layered medium. Applied Mathematics & Physics. 2024;56(1):66-74.


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Published

2025-03-30

How to Cite

Noskov, A. V., Blazhevich, S. V., Chueva, A. I., Machukaev, D. D., & Kipersha, V. K. (2025). The Influence of Asymmetric Diffraction on the Spectral-Angular Density of the CRI of a Relativistic Electron in a Three-Layer Structure. Applied Mathematics & Physics, 57(1), 59-67. https://doi.org/10.52575/2687-0959-2025-57-1-59-67

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Section

Physics. Mathematical modeling