vmaitComputational Mathematics and Information TechnologiesComputational Mathematics and Information Technologies2587-8999Донской государственный технический университет10.23947/2587-8999-2024-8-2-45-59vmait-158Research ArticleMathematical Modelling (Математическое моделирование)Моделирование капиллярного разряда в режиме повторения для коротких капиллярных систем при различных способах заполненияModelling of Capillary Discharge in Repetition Mode for Short Capillary Systems with Various Filling Methodshttps://orcid.org/0000-0001-7574-4061ГасиловВ. А.GasilovV. A.

Гасилов Владимир Анатольевич, главный научный сотрудник

125047, Москва, Миусская пл., 4

Vladimir A. Gasilov, Principal Researcher

4, Miusskaya sq., Moscow, 125047

vgasilov@keldysh.ruhttps://orcid.org/0000-0002-0142-6375СавенкоН. О.SavenkoN. O.

Савенко Никита Олегович, младший научный сотрудник

125047, Москва, Миусская пл., 4

Nikita O. Savenko, Junior Researcher

4, Miusskaya sq., Moscow, 125047

savenkonkt@gmail.comhttps://orcid.org/0000-0003-2125-3085ШароваЮ. С.SharovaYu. S.

Шарова Юлия Сергеевна, младший научный сотрудник

125047, Москва, Миусская пл., 4

Yulia S. Sharova, Junior Researcher

4, Miusskaya sq., Moscow, 125047

yulia-shar@mail.ruИнститут прикладной математики им. М.В. Келдыша Российской академии наукРоссияKeldysh Institute of Applied Mathematics of Russian Academy of SciencesRussian Federation202405072024824559Copyright © Гасилов В.А., Савенко Н.О., Шарова Ю.С., 20242024Гасилов В.А., Савенко Н.О., Шарова Ю.С.Gasilov V.A., Savenko N.O., Sharova Y.S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.cmit-journal.ru/jour/article/view/158

Введение. В настоящее время активно исследуются частотные режимы работы ускорителей электронов на основе капиллярных разрядов. Электроны в них ускоряются под действием лазерных импульсов фемтосекундного диапазона длительности, пропускаемых через плазму разряда.Материалы и методы. В работе рассматриваются результаты трехмерного магнитогидродинамического моделирования цикла капиллярного разряда, включающего стадии заполнения короткого капилляра рабочим газом (водород), формирование плазменного канала, восстановление рабочей среды перед началом следующего разряда. Расчеты выполнены в предположении о том, что система находится под внешним охлаждением, которое обеспечивает температурный баланс на промежуточных этапах рабочего цикла, а также при постоянных условиях подачи и откачки рабочего газа.Результаты исследования. Результаты вычислительных экспериментов показывают возможность генерации пучков релятивистских электронов с частотой повторения около одного килогерца.Обсуждение и заключение. Полученные результаты позволяют говорить о перспективности использования КЛПУ с малой длиной канала и высокой частотой повторения капиллярного разряда.

Introduction. Currently, frequency modes of operation of electron accelerators based on capillary discharges are actively investigated. Electrons in these systems are accelerated by femtosecond laser pulses passing through the discharge plasma.Materials and Methods. The paper presents results of three-dimensional magnetohydrodynamic modelling of the capillary discharge cycle, including stages of filling a short capillary with working gas (hydrogen), formation of the plasma channel, and restoration of the working medium before the start of the next discharge. Calculations were performed assuming the system is under external cooling, which maintains thermal balance at intermediate stages of the working cycle, and under constant conditions of gas supply and evacuation.Results. The computational experiments demonstrate the capability of generating beams of relativistic electrons with a repetition frequency of approximately one kilohertz.Discussion and Conclusions. The obtained results allow us to speak about the prospects of using LWFA with a short channel length and a high repetition rate of the capillary discharge.

математическое моделированиемагнитная гидродинамикакапиллярный разрядлазерное ускорение электроновmathematical modellingmagnetohydrodynamicscapillary dischargelaser acceleration of electronsРезультаты получены с использованием оборудования ЦКП ИПМ им. М.В. Келдыша РАН (http://ckp-kiam.ru). Авторы признательны кандидату физ.-мат. наук Г.А. Багдасарову за обсуждение результатов вычислительных экспериментов.The results were obtained using the equipment of the “Center for Collective Use” IAM RAS (ckp.kiam.ru). The authors are grateful to candidate of physical and mathematical sciences G.A. Bagdasarov for discussing the results of computational experiments.ReferencesTajima T., Dawson J.M. Laser Electron Accelerator. Phys. Rev. Lett. 1979;43:267. https://doi.org/10.1103/PhysRevLett.43.267Tajima T., Dawson J.M. Laser Electron Accelerator. Phys. Rev. Lett. 1979;43:267. https://doi.org/10.1103/PhysRevLett.43.267Molodozhentsev A., Korn G., Maier A., Pribyl L. 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The authors declare that there are no conflicts of interest present.