Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam

doi:10.1088/1674-1056/19/12/124101

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 124101-124101.doi: 10.1088/1674-1056/19/12/124101

Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam

唐昌建¹, 王顺金¹, 李海容²

(1)School of Physics Science and Technology, Sichuan University, Chengdu 610064, China; (2)School of Physics Science and Technology, Sichuan University, Chengdu 610064, China;College of Science, University of Science and Technology Liaoning, Anshan 114051, China

收稿日期:2010-03-24 修回日期:2010-04-27 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 10775100 and 90503008), the Science Foundation of China Academy of Engineering Physics (Grant No. 10576019), and the Fund of Theoretical Nuclear Physics Center, National Laboratory of Heavy Ion Accelerator Facility of Lanzhou.

Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam

Li Hai-Rong(李海容)^a)b)^†, Tang Chang-Jian(唐昌建)^a), and Wang Shun-Jin(王顺金)^a)

^a School of Physics Science and Technology, Sichuan University, Chengdu 610064, China; ^b College of Science, University of Science and Technology Liaoning, Anshan 114051, China

Received:2010-03-24 Revised:2010-04-27 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 10775100 and 90503008), the Science Foundation of China Academy of Engineering Physics (Grant No. 10576019), and the Fund of Theoretical Nuclear Physics Center, National Laboratory of Heavy Ion Accelerator Facility of Lanzhou.

摘要/Abstract

摘要： This paper addresses the formulae and numerical issues related to the possibility that fast wave may be grown when a relativistic electron beam through an ion channel in a cylindrical metal waveguide. To derive the dispersion equations of the beam–wave interaction, it solves relativistic Lorentz equation and Maxwell's equations for appropriate boundary conditions. It has been found in this waveguide structure that the TM_0m modes are the rational operating modes of coupling between the electromagnetic modes and the betatron modes. The interaction of the dispersion curves of the electromagnetic TM_0m modes and the upper betatron modes is studied. The growth rates of the wave are obtained, and the effects of the beam radius, the beam energy, the plasma frequency, and the beam plasma frequency on the wave growth rate are numerically calculated and discussed.

Abstract: This paper addresses the formulae and numerical issues related to the possibility that fast wave may be grown when a relativistic electron beam through an ion channel in a cylindrical metal waveguide. To derive the dispersion equations of the beam–wave interaction, it solves relativistic Lorentz equation and Maxwell's equations for appropriate boundary conditions. It has been found in this waveguide structure that the TM_0m modes are the rational operating modes of coupling between the electromagnetic modes and the betatron modes. The interaction of the dispersion curves of the electromagnetic TM_0m modes and the upper betatron modes is studied. The growth rates of the wave are obtained, and the effects of the beam radius, the beam energy, the plasma frequency, and the beam plasma frequency on the wave growth rate are numerically calculated and discussed.

Key words: relativistic electron beam, plasma, ion channel, dispersion relations, wave growth rate

中图分类号: (Relativistic electron and positron beams)

41.75.Ht

52.40.Fd (Plasma interactions with antennas; plasma-filled waveguides)

李海容, 唐昌建, 王顺金. Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam[J]. 中国物理B, 2010, 19(12): 124101-124101.

Li Hai-Rong(李海容), Tang Chang-Jian(唐昌建), and Wang Shun-Jin(王顺金). Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam[J]. Chin. Phys. B, 2010, 19(12): 124101-124101.

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Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam

Wave growth rate in a cylindrical metal waveguide with ion-channel guiding of a relativistic electron beam

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