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Numerical study of electrostatic electron cyclotron harmonic waves due to Maxwellian ring velocity distributions

Earth, Planets and Space volume 59, pages 1205–1210 (2007)Cite this article

Abstract

Excitation of electrostatic electron cyclotron harmonic (ECH) waves is studied by performing linear dispersion analysis and particle-in-cell computer simulation. The ECH wave emissions can be excited by a positive slope in a velocity distribution function perpendicular to the ambient magnetic field, such as that due to a loss cone or ring velocity distribution. However, there exists no analytic expression for integration of Maxwellian ring velocity distribution functions. Here we present a method to solve the linear dispersion relations of Maxwellian ring velocity distribution functions with numerical integration. The obtained dispersion relations are confirmed by particle-in-cell simulation.

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  1. Solar-Terrestrial Environment Laboratory, Nagoya University, Nagoya, Aichi, 464-8601, Japan

    Takayuki Umeda

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  1. Takayuki Umeda
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Correspondence to Takayuki Umeda.

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Umeda, T. Numerical study of electrostatic electron cyclotron harmonic waves due to Maxwellian ring velocity distributions. Earth Planet Sp 59, 1205–1210 (2007). https://doi.org/10.1186/BF03352068

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