{"title":"Acceleration of Electrons in a Combined Magnetic Trap in the Synchronous Mode","authors":"V. P. Milant’ev, V. V. Andreev, V. A. Turikov","doi":"10.1134/S1063780X23600822","DOIUrl":null,"url":null,"abstract":"<p>Electron capture into the mode of synchronous gyromagnetic autoresonance in a combined mirror-type magnetic trap with a high-frequency field in a cylindrical resonator is studied. The averaged equations of motion of electrons in such a trap are obtained taking into account the terms of the first order of smallness in the high-frequency field amplitude. An equation for the resonant phase, which has the form of an equation for a nonlinear oscillator with a constant force, is derived to change the magnetic field with time according to a linear law in a weakly relativistic approximation. Based on the analysis of its solutions, a general criterion for the electron capture into the gyromagnetic autoresonance mode is obtained. Using the Bogolyubov method, the change in the energy of particles is studied, taking into account the time dependence of the parameters of the combined trap. It is shown that during autoresonance, the change in the electron energy with time occurs synchronously with the change in the magnetic field.</p>","PeriodicalId":735,"journal":{"name":"Plasma Physics Reports","volume":"49 8","pages":"967 - 974"},"PeriodicalIF":0.9000,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Plasma Physics Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063780X23600822","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
Abstract
Electron capture into the mode of synchronous gyromagnetic autoresonance in a combined mirror-type magnetic trap with a high-frequency field in a cylindrical resonator is studied. The averaged equations of motion of electrons in such a trap are obtained taking into account the terms of the first order of smallness in the high-frequency field amplitude. An equation for the resonant phase, which has the form of an equation for a nonlinear oscillator with a constant force, is derived to change the magnetic field with time according to a linear law in a weakly relativistic approximation. Based on the analysis of its solutions, a general criterion for the electron capture into the gyromagnetic autoresonance mode is obtained. Using the Bogolyubov method, the change in the energy of particles is studied, taking into account the time dependence of the parameters of the combined trap. It is shown that during autoresonance, the change in the electron energy with time occurs synchronously with the change in the magnetic field.
期刊介绍：
Plasma Physics Reports is a peer reviewed journal devoted to plasma physics. The journal covers the following topics: high-temperature plasma physics related to the problem of controlled nuclear fusion based on magnetic and inertial confinement; physics of cosmic plasma, including magnetosphere plasma, sun and stellar plasma, etc.; gas discharge plasma and plasma generated by laser and particle beams. The journal also publishes papers on such related topics as plasma electronics, generation of radiation in plasma, and plasma diagnostics. As well as other original communications, the journal publishes topical reviews and conference proceedings.
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