A numerical electromagnetic linear dispersion relation for Maxwellian ring-beam velocity distributions

Journal Article · Sun Jul 15 00:00:00 EDT 2012 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4736848· OSTI ID:22072526

Umeda, Takayuki; Miyoshi, Yoshizumi ^[1]; Matsukiyo, Shuichi ^[2]; Amano, Takanobu ^[1]

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1. Solar-Terrestrial Environment Laboratory, Nagoya University, Nagoya, Aichi 464-8601 (Japan)
2. Earth System Science and Technology, Kyushu University, Kasuga, Fukuoka 816-8580 (Japan)

A positive slope in a velocity distribution function perpendicular to the ambient magnetic field, such as due to a loss cone or ring velocity distribution, can become a free energy source for the excitation of various plasma waves. Since there exists no analytic expression for integrals of Maxwellian ring velocity distribution functions, their linear properties have previously been studied using several approximations or modeled distributions. In this paper, a numerical method for analyzing the linear dispersion relation for Maxwellian ring-beam velocity distributions is developed. The obtained linear properties are confirmed by direct comparison with full particle simulation results.

• OSTI ID: 22072526
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 19; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BEAMS
COMPUTERIZED SIMULATION
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
EXCITATION
FREE ENERGY
INTEGRALS
LOSS CONE
MAGNETIC FIELDS
PARTICLES
PLASMA WAVES
VELOCITY