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Wave Particle Interactions in Electrostatic Waves in an Inhomogeneous Medium

Wave Particle Interactions in Electrostatic Waves in an Inhomogeneous Medium
Wave Particle Interactions in Electrostatic Waves in an Inhomogeneous Medium
The system studied is that of a narrow-band electrostatic wave packet in a collision-free plasma. Inhomogeneous effects are represented by a wave-number, which varies linearly with distance. The system is excited by a weak resonant beam, and, to first order in a smallness parameter associated with the weakness of the beam, the resonant-particle distribution function and charge densities are calculated. It is found that second-order resonant particles become stably trapped in the wave, and, after a few trapping periods, make a dominant contribution to the resonant particle charge density. The growth rate due to the resonant beam was found to increase linearly with trapping time, and typically a pulse which traps particles for n trapping periods exhibits a growth rate ˜ n times the linear Landau value. Furthermore, a reactive component of charge density was found that was able to cause a steady change in wave frequency and wave-number. These features of large growth rates and changing frequency should appear in parallel problems involving other wave types. An obvious application is that of VLF emissions in the whistler mode.
Nunn, D
5115be8c-b699-427b-b7df-8795398381e5
Nunn, D
5115be8c-b699-427b-b7df-8795398381e5

Nunn, D (1970) Wave Particle Interactions in Electrostatic Waves in an Inhomogeneous Medium.

Record type: Conference or Workshop Item (Other)

Abstract

The system studied is that of a narrow-band electrostatic wave packet in a collision-free plasma. Inhomogeneous effects are represented by a wave-number, which varies linearly with distance. The system is excited by a weak resonant beam, and, to first order in a smallness parameter associated with the weakness of the beam, the resonant-particle distribution function and charge densities are calculated. It is found that second-order resonant particles become stably trapped in the wave, and, after a few trapping periods, make a dominant contribution to the resonant particle charge density. The growth rate due to the resonant beam was found to increase linearly with trapping time, and typically a pulse which traps particles for n trapping periods exhibits a growth rate ˜ n times the linear Landau value. Furthermore, a reactive component of charge density was found that was able to cause a steady change in wave frequency and wave-number. These features of large growth rates and changing frequency should appear in parallel problems involving other wave types. An obvious application is that of VLF emissions in the whistler mode.

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More information

Published date: 1970
Additional Information: A version of this paper was subsequently published as Nunn, D. (1971). Wave-particle interactions in electrostatic waves in an inhomogeneous medium. Journal of Plasma Physics, 6(2), 291-307. doi:10.1017/S0022377800006061
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 251611
URI: http://eprints.soton.ac.uk/id/eprint/251611
PURE UUID: 289b41ff-3233-4bf5-be32-d09c6a2abe62

Catalogue record

Date deposited: 05 Nov 1999
Last modified: 19 Oct 2022 17:01

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Contributors

Author: D Nunn

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