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Open Access

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

Earth, Planets and Space200759:BF03352068

https://doi.org/10.1186/BF03352068

Received: 3 August 2007

Accepted: 2 October 2007

Published: 30 November 2007

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.

Key words

Electron cyclotron waveslinear dispersion analysisnumerical simulation