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

Journal Article · Wed Jun 15 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4953904· OSTI ID:22598977

Pramanik, Sourav; Chakrabarti, Nikhil ^[1]; Kuznetsov, V. I.; Gerasimenko, A. B. ^[2]

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1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700 064 (India)
2. Ioffe Institute, St. Petersburg (Russian Federation)

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.

• OSTI ID: 22598977
• Journal Information: Physics of Plasmas, Vol. 23, Issue 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

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