Effects of dynamic diffraction in coherent X-ray radiation of relativistic electrons in a three-layer periodic structure
DOI:
https://doi.org/10.52575/2687-0959-2026-58-1-96-108Keywords:
Periodic Layered Structure, Dynamic Diffraction, Coherent X-ray RadiationAbstract
This work investigates the effects of dynamic diffraction in coherent X-ray radiation of relativistic electrons in a periodic layered medium with three distinct layers per period. Coherent X-ray radiation is considered as the sum of parametric X-ray radiation and diffracted transition radiation. Expressions are derived describing the spectral-angular and angular densities of parametric X-ray radiation and diffracted transition radiation in a three-layer structure. A distinct possibility of anomalous low photoabsorption in parametric X-ray radiation, analogous to the well-known Bormann effect in a single crystal, is demonstrated. The influence of the asymmetry of the electron field reflection relative to the target surface on the angular densities of the radiation is demonstrated.
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Kaplin V.V. et al. Observation of bright monochromatic x rays generated by relativistic electrons passing through a multilayer mirror. Applied Physics Letters. 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. B. 2013;309:70–75.
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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;68:036504.
Garibian GM. and Yang C. Quantum microscopic theory of radiation by a charged particle moving uniformly in a crystal. Soviet Physics, JETP. 1972;34:495.
Baryshevsky V.G., Feranchuk I.D. Transition radiation of γ-rays in a crystal. Soviet Physics, JETP. 1972;34:502.
Caticha A. Transition-diffracted radiation and the Cˇerenkov emission of X-rays. Physical Review A – APS Journals 1989;40:4322.
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. 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. 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 MV., Uglov SR., Vukolov AV. 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. Quantumrecoil 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 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.
Noskov AV., Blazhevich SV. Coherent X-ray radiation excited by a relativistic electron in a periodic layered medium. Journal of Instrumentation. 2024;19(7):P07007.
Noskov AV., Blazhevich SV. Effects of dynamic diffraction in coherent X-ray radiation from a beam of relativistic electrons in a periodic layered medium with three layers in a period. Physics Letters A. 2024;525:129835.
Noskov AV., Blazhevich SV., Chueva AI., Machukaev DD., Kipersha VK. 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. 2025;57(1):59–67 (In Russ.).
Noskov AV., Machukaev DD., Kipersha VK., Pugina PD., Pirmatova MD. The Influence of Electron Beam Divergence on the CXR in a Periodic LayeredMediumWith Three Layers Per Period. Applied Mathematics & Physics. 2025;57(4):279–289 (In Russ.).
Borrmann G. Uber Extinktionsdiagramme der Rontgenstrahlen von Quarz. Physikalische Zeitschrift. 1941;42:157.
Blazhevich S.V., Gorlov A.S., Noskov A.V., and Chuyeva A. I. Dynamic Scattering of X-Rays in a Periodic Layered Medium. Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques. 2024;18(6): 1662–1669.
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