vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2025-61-4-330-342vestifm-866Research ArticleФИЗИКАPHYSICSПараметрическое рентгеновское излучение в симметричной геометрии БрэггаParametric X-ray radiation in symmetric Bragg geometryАнищенкоС. В.AnishchenkoS. V.

Анищенко Сергей Владимирович – кандидат физико-математических наук, старший научный сотрудник лаборатории физики высоких плотностей энергии

ул. Бобруйская, 11, 220030, Минск 

Sergei V. Anishchenko – Ph. D. (Physics and Mathematics), Senior Researcher, High energy density physics laboratory

11, Bobruiskaya Str., 220030, Minsk 

sanishchenko@mail.ruИнститут ядерных проблем Белорусского государственного университетаInstitute for Nuclear Problems of Belarusian State University202506012026614330342Copyright © Анищенко С.В., 20262026Анищенко С.В.Anishchenko S.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/866

Проведен детальный анализ теоретических моделей, используемых для интерпретации экспериментов по генерации параметрического рентгеновского излучения (ПРИ) релятивистскими заряженными частицами в симметричной геометрии Брэгга. Продемонстрировано, что динамическая теория ПРИ находится в хорошем согласии с экспериментальными результатами, полученными в области энергий электронов 900 МэВ на синхротроне «Сириус». Важнейшим преимуществом динамической теории ПРИ перед кинематической оказалось правильное описание первичной экстинкции и интерференции между двумя типами волн (быстрой и медленной), генерируемых в процессе параметрического рентгеновского излучения в кристалле. В ультрарелятивистской области энергий получено аналитическое выражение для полного числа квантов, испускаемых электроном в телесный угол, где интенсивность ПРИ оказывается максимальной.

A detailed analysis of theoretical models used to interpret experiments with parametric X-ray radiation (PXR) emitted by relativistic charged particles in symmetric Bragg geometry is carried out. It is shown that the dynamical theory of PXR is in good agreement with the experimental results obtained at the Sirius synchrotron for 900 MeV electrons. The most important advantage of the PXR dynamical theory over the kinematical one is the correct description of the primary extinction and interference between two types of waves (fast and slow), generated within parametric X-ray radiation in a crystal. At ultrarelativistic energies, an analytical expression is obtained for the total number of quanta emitted by an electron into the solid angle where PXR intensity has a maximum.

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The authors declare that there are no conflicts of interest present.