Band structure of the growth rate of the two-stream instability of an electron beam propagating in a bounded plasma

Kaganovich, I. D.; Sydorenko, D.

doi:10.1063/1.4967858

Title: Band structure of the growth rate of the two-stream instability of an electron beam propagating in a bounded plasma

Journal Article · Fri Nov 18 00:00:00 EST 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4967858· OSTI ID:1338610

Kaganovich, I. D. ^[1]; Sydorenko, D. ^[2]

Princeton Univ., NJ (United States). Princeton Plasma Physics Lab.
Univ. of Alberta, Edmonton, AB (Canada)

Our paper presents a study of the two-stream instability of an electron beam propagating in a finite-size plasma placed between two electrodes. It is shown that the growth rate in such a system is much smaller than that of an infinite plasma or a finite size plasma with periodic boundary conditions. Even if the width of the plasma matches the resonance condition for a standing wave, a spatially growing wave is excited instead with the growth rate small compared to that of the standing wave in a periodic system. Furthermore, the approximate expression for this growth rate is γ≈(1/13)ω_pe(n_b/n_p)(Lω_pe/v_b)ln(Lω_pe/v_b)[1-0.18 cos (Lω_pe/v_b+π/2)], where ωpe is the electron plasma frequency, n_b and n_p are the beam and the plasma densities, respectively, v_b is the beam velocity, and L is the plasma width. The frequency, wave number, and the spatial and temporal growth rates, as functions of the plasma size, exhibit band structure. Finally, the amplitude of saturation of the instability depends on the system length, not on the beam current. For short systems, the amplitude may exceed values predicted for infinite plasmas by more than an order of magnitude.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1338610

Alternate ID(s):: OSTI ID: 1332763

Journal Information:: Physics of Plasmas, Vol. 23, Issue 11; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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References (13)

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Cited By (4)

Photoemission driven electron two-stream instability (ETSI) and evolution of plasma sheath Changmai, Suniti; Bora, Madhurjya P. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5081928	journal	April 2019
Test cases for grid-based direct kinetic modeling of plasma flows Hara, Kentaro; Hanquist, Kyle Plasma Sources Science and Technology, Vol. 27, Issue 6 https://doi.org/10.1088/1361-6595/aac6b9	journal	June 2018
Improved understanding of the hot cathode current modes and mode transitions Campanell, M. D.; Umansky, M. V. Plasma Sources Science and Technology, Vol. 26, Issue 12 https://doi.org/10.1088/1361-6595/aa97a9	journal	November 2017
Effect of collisions on the two-stream instability in a finite length plasma Sydorenko, D.; Kaganovich, I. D.; Ventzek, P. L. G. Physics of Plasmas, Vol. 23, Issue 12 https://doi.org/10.1063/1.4972543	journal	December 2016

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