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Title: A study on the steady-state solutions of a relativistic Bursian diode in the presence of a transverse magnetic field

Abstract

A comprehensive study on the steady states of a planar vacuum diode driven by a cold relativistic electron beam in the presence of an external transverse magnetic field is presented. The regimes, where no electrons are turned around by the external magnetic field and where they are reflected back to the emitter by the magnetic field, are both considered in a generalized way. The problem is solved by two methods: with the Euler and the Lagrange formulation. Taking non-relativistic limit, the solutions are compared with the similar ones which were obtained for the Bursian diode with a non-relativistic electron beam in previous work [Pramanik et al., Phys. Plasmas 22, 112108 (2015)]. It is shown that, at a moderate value of the relativistic factor of the injected beam, the region of the ambiguous solutions located to the right of the SCL bifurcation point (space charge limit) in the non-relativistic regime disappears. In addition, the dependencies of the characteristic bifurcation points and the transmitted current on the Larmor frequency as well as on the relativistic factor are explored.

Authors:
;  [1]; ;  [2]
  1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064 (India)
  2. Ioffe Institute, St. Petersburg 194021 (Russian Federation)
Publication Date:
OSTI Identifier:
22599905
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; 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; ELECTRON BEAMS; ELECTRONS; MAGNETIC FIELDS; RELATIVISTIC RANGE; SOLUTIONS; SPACE CHARGE; STEADY-STATE CONDITIONS

Citation Formats

Pramanik, Sourav, Chakrabarti, Nikhil, Kuznetsov, V. I., and Bakaleinikov, L. A. A study on the steady-state solutions of a relativistic Bursian diode in the presence of a transverse magnetic field. United States: N. p., 2016. Web. doi:10.1063/1.4960679.
Pramanik, Sourav, Chakrabarti, Nikhil, Kuznetsov, V. I., & Bakaleinikov, L. A. A study on the steady-state solutions of a relativistic Bursian diode in the presence of a transverse magnetic field. United States. doi:10.1063/1.4960679.
Pramanik, Sourav, Chakrabarti, Nikhil, Kuznetsov, V. I., and Bakaleinikov, L. A. Mon . "A study on the steady-state solutions of a relativistic Bursian diode in the presence of a transverse magnetic field". United States. doi:10.1063/1.4960679.
@article{osti_22599905,
title = {A study on the steady-state solutions of a relativistic Bursian diode in the presence of a transverse magnetic field},
author = {Pramanik, Sourav and Chakrabarti, Nikhil and Kuznetsov, V. I. and Bakaleinikov, L. A.},
abstractNote = {A comprehensive study on the steady states of a planar vacuum diode driven by a cold relativistic electron beam in the presence of an external transverse magnetic field is presented. The regimes, where no electrons are turned around by the external magnetic field and where they are reflected back to the emitter by the magnetic field, are both considered in a generalized way. The problem is solved by two methods: with the Euler and the Lagrange formulation. Taking non-relativistic limit, the solutions are compared with the similar ones which were obtained for the Bursian diode with a non-relativistic electron beam in previous work [Pramanik et al., Phys. Plasmas 22, 112108 (2015)]. It is shown that, at a moderate value of the relativistic factor of the injected beam, the region of the ambiguous solutions located to the right of the SCL bifurcation point (space charge limit) in the non-relativistic regime disappears. In addition, the dependencies of the characteristic bifurcation points and the transmitted current on the Larmor frequency as well as on the relativistic factor are explored.},
doi = {10.1063/1.4960679},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}