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MODE-MODE COUPLING IN AN ELECTRON BEAM PLASMA

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Date Issued:
1973
Summary:
A coherent nonlinear wave-wave coupling effect which is consistent with a more complete description of damping effects of a plane wave disturbance of a finite plasma initially spatially uniform and Maxwellian in velocity space is considered. A smeared out ion background is assumed and the coupling between the ions and electrons is neglected. A self consistent field and collective coordinate approach is used to obtain a dispersion relation for mode coupling in a plasma. The equations for the amplitudes and the frequencies are solved numerically both by direct time integration and by a perturbation method for two and three modes. The perturbation method solutions are obtained for the n mode equations. The perturbation equations for two modes are solved analytically. For the two mode case the resulting coupling shows that the energy oscillates between the modes and that the periodicity of the amplitudes and the frequencies is associated with the initial parameters. Energy feeding between the modes is also observed for three or more modes. However, phase mixing occurs for more than two modes.
Title: MODE-MODE COUPLING IN AN ELECTRON BEAM PLASMA.
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Name(s): ELKMAN, WILLIAM ROBERT.
Florida Atlantic University, Degree grantor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1973
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 66 p.
Language(s): English
Summary: A coherent nonlinear wave-wave coupling effect which is consistent with a more complete description of damping effects of a plane wave disturbance of a finite plasma initially spatially uniform and Maxwellian in velocity space is considered. A smeared out ion background is assumed and the coupling between the ions and electrons is neglected. A self consistent field and collective coordinate approach is used to obtain a dispersion relation for mode coupling in a plasma. The equations for the amplitudes and the frequencies are solved numerically both by direct time integration and by a perturbation method for two and three modes. The perturbation method solutions are obtained for the n mode equations. The perturbation equations for two modes are solved analytically. For the two mode case the resulting coupling shows that the energy oscillates between the modes and that the periodicity of the amplitudes and the frequencies is associated with the initial parameters. Energy feeding between the modes is also observed for three or more modes. However, phase mixing occurs for more than two modes.
Identifier: 13593 (digitool), FADT13593 (IID), fau:10434 (fedora)
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): Thesis (M.S.)--Florida Atlantic University, 1973.
Charles E. Schmidt College of Science
Subject(s): Coupled mode theory
Electron beams
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/13593
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.