{"title":"非均匀电子束中轴对称三分量-古尔德模式的旋转不稳定性","authors":"N. A. Marusov","doi":"10.1134/S1063780X24602311","DOIUrl":null,"url":null,"abstract":"<p>Instability of axisymmetric electrostatic oscillations in an inhomogeneous beam of electrons confined by an axial magnetic field is studied within the framework of an ideal hydrodynamic model. The equation of perturbation of the beam electrostatic potential is derived in the linear approximation. It is demonstrated that the effects of differential beam rotation in self inhomogeneous electric field destabilize the Trivelpiece–Gould modes. The spatial structure of the unstable eigenmodes is calculated analytically and numerically for model profiles of the beam density, and their spectrum is analyzed.</p>","PeriodicalId":735,"journal":{"name":"Plasma Physics Reports","volume":"51 3","pages":"289 - 298"},"PeriodicalIF":1.1000,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rotational Instability of the Axisymmetric Trivelpiece–Gould Modes in the Inhomogeneous Electron Beam\",\"authors\":\"N. A. Marusov\",\"doi\":\"10.1134/S1063780X24602311\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Instability of axisymmetric electrostatic oscillations in an inhomogeneous beam of electrons confined by an axial magnetic field is studied within the framework of an ideal hydrodynamic model. The equation of perturbation of the beam electrostatic potential is derived in the linear approximation. It is demonstrated that the effects of differential beam rotation in self inhomogeneous electric field destabilize the Trivelpiece–Gould modes. The spatial structure of the unstable eigenmodes is calculated analytically and numerically for model profiles of the beam density, and their spectrum is analyzed.</p>\",\"PeriodicalId\":735,\"journal\":{\"name\":\"Plasma Physics Reports\",\"volume\":\"51 3\",\"pages\":\"289 - 298\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2025-07-16\",\"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/S1063780X24602311\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Plasma Physics Reports","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063780X24602311","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}
Rotational Instability of the Axisymmetric Trivelpiece–Gould Modes in the Inhomogeneous Electron Beam
Instability of axisymmetric electrostatic oscillations in an inhomogeneous beam of electrons confined by an axial magnetic field is studied within the framework of an ideal hydrodynamic model. The equation of perturbation of the beam electrostatic potential is derived in the linear approximation. It is demonstrated that the effects of differential beam rotation in self inhomogeneous electric field destabilize the Trivelpiece–Gould modes. The spatial structure of the unstable eigenmodes is calculated analytically and numerically for model profiles of the beam density, and their spectrum is analyzed.
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.