Comparison between the Landau and cyclotron resonances in the electron beam-plasma interactions

Shuichi Matsukiyo, Tohru Hada, Mitsuhiro Nambu, Jun Ichi Sakai

Research output: Contribution to journalArticle

Abstract

It is well-known that a cool field-aligned electron beam streaming in a plasma can destabilize electrostatic waves, in the frequency ranges of 0 < ω < min(Ωe, ωp) and max(Ωe, ωp) < ω < ωuh, where ωp, Ωe, and ωuh are the plasma, the electron cyclotron, and the upper-hybrid frequencies, respectively. Although both the Landau and cyclotron resonances lead to the generation of the waves, not much attention has been paid to the wave generation via the cyclotron resonance. In this paper we compare the two types of interactions for both non-relativistic and relativistic electron beams by considering a simple plasma model which consists of main and beam electrons and background ions. The plasma is charge neutral and current carrying. The linear theory based on this model predicts that, when the electron beams are non-relativistic, the waves are generated predominantly via the Landau interaction for a wide range of plasma parameters, except for a limited parameter regime with cool main electrons, Ωep > 1, and at oblique propagation angles. On the other hand, when the beam electrons have relativisitic drift momentum, the cyclotron interaction becomes more important than the Landau interaction.

Original languageEnglish
Pages (from-to)1049-1054
Number of pages6
Journaljournal of the physical society of japan
Volume68
Issue number3
DOIs
Publication statusPublished - Jan 1 1999

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plasma interactions
cyclotron resonance
electron beams
electrostatic waves
cyclotrons
frequency ranges
interactions
momentum
propagation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Comparison between the Landau and cyclotron resonances in the electron beam-plasma interactions. / Matsukiyo, Shuichi; Hada, Tohru; Nambu, Mitsuhiro; Sakai, Jun Ichi.

In: journal of the physical society of japan, Vol. 68, No. 3, 01.01.1999, p. 1049-1054.

Research output: Contribution to journalArticle

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AB - It is well-known that a cool field-aligned electron beam streaming in a plasma can destabilize electrostatic waves, in the frequency ranges of 0 < ω < min(Ωe, ωp) and max(Ωe, ωp) < ω < ωuh, where ωp, Ωe, and ωuh are the plasma, the electron cyclotron, and the upper-hybrid frequencies, respectively. Although both the Landau and cyclotron resonances lead to the generation of the waves, not much attention has been paid to the wave generation via the cyclotron resonance. In this paper we compare the two types of interactions for both non-relativistic and relativistic electron beams by considering a simple plasma model which consists of main and beam electrons and background ions. The plasma is charge neutral and current carrying. The linear theory based on this model predicts that, when the electron beams are non-relativistic, the waves are generated predominantly via the Landau interaction for a wide range of plasma parameters, except for a limited parameter regime with cool main electrons, Ωe/ωp > 1, and at oblique propagation angles. On the other hand, when the beam electrons have relativisitic drift momentum, the cyclotron interaction becomes more important than the Landau interaction.

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