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Title: Non-neutral plasma diode in the presence of a transverse magnetic field

Abstract

An analytical study of the plasma states in non-neutral plasma diodes in the presence of an external transverse magnetic field is presented for an arbitrary neutralization parameter γ. Considerations are restricted to the regime where no electrons are turned around by the magnetic field. The emitter electric field strength E{sub 0} is used as a characteristic function to investigate the existence of solutions depending on the diode length, the applied voltage, the neutralization parameter, and the magnetic field strength. The potential distribution has a wave form for small magnitudes of the external magnetic field, as well as for the case when magnetic field is absent. A new family of solutions appears along with the Bursian ones. On the other hand, as the Larmor radius becomes comparable with the beam Debye length, oscillations in the potential disappear, and only the Bursian branches remain. Unlike the vacuum diode, there are steady state solutions for the negative values of the emitter field strength. As the neutralization parameter (γ) increases, the emitter field strength relating to the SCL (space charge limit) bifurcation point diminishes, and at γ > 1, the value of the emitter's electric field strength at the space charge limit (E{sub 0,SCL}) turns outmore » to be negative.« less

Authors:
;  [1]; ;  [2]
  1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064 (India)
  2. Ioffe Institute, St. Petersburg (Russian Federation)
Publication Date:
OSTI Identifier:
22598977
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BIFURCATION; COMPARATIVE EVALUATIONS; DEBYE LENGTH; ELECTRIC FIELDS; ELECTRIC POTENTIAL; ELECTRONS; LARMOR RADIUS; MAGNETIC FIELDS; PLASMA; SPACE CHARGE; STEADY-STATE CONDITIONS; THERMIONIC DIODES; WAVE FORMS

Citation Formats

Pramanik, Sourav, Chakrabarti, Nikhil, Kuznetsov, V. I., and Gerasimenko, A. B. Non-neutral plasma diode in the presence of a transverse magnetic field. United States: N. p., 2016. Web. doi:10.1063/1.4953904.
Pramanik, Sourav, Chakrabarti, Nikhil, Kuznetsov, V. I., & Gerasimenko, A. B. Non-neutral plasma diode in the presence of a transverse magnetic field. United States. doi:10.1063/1.4953904.
Pramanik, Sourav, Chakrabarti, Nikhil, Kuznetsov, V. I., and Gerasimenko, A. B. Wed . "Non-neutral plasma diode in the presence of a transverse magnetic field". United States. doi:10.1063/1.4953904.
@article{osti_22598977,
title = {Non-neutral plasma diode in the presence of a transverse magnetic field},
author = {Pramanik, Sourav and Chakrabarti, Nikhil and Kuznetsov, V. I. and Gerasimenko, A. B.},
abstractNote = {An analytical study of the plasma states in non-neutral plasma diodes in the presence of an external transverse magnetic field is presented for an arbitrary neutralization parameter γ. Considerations are restricted to the regime where no electrons are turned around by the magnetic field. The emitter electric field strength E{sub 0} is used as a characteristic function to investigate the existence of solutions depending on the diode length, the applied voltage, the neutralization parameter, and the magnetic field strength. The potential distribution has a wave form for small magnitudes of the external magnetic field, as well as for the case when magnetic field is absent. A new family of solutions appears along with the Bursian ones. On the other hand, as the Larmor radius becomes comparable with the beam Debye length, oscillations in the potential disappear, and only the Bursian branches remain. Unlike the vacuum diode, there are steady state solutions for the negative values of the emitter field strength. As the neutralization parameter (γ) increases, the emitter field strength relating to the SCL (space charge limit) bifurcation point diminishes, and at γ > 1, the value of the emitter's electric field strength at the space charge limit (E{sub 0,SCL}) turns out to be negative.},
doi = {10.1063/1.4953904},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 2016},
month = {Wed Jun 15 00:00:00 EDT 2016}
}