Note
Thesis (M.S.)--Florida Atlantic University, 1973.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
1973
Description
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.
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.
Language
Type
Form
Extent
66 p.
Subject (Topical)
Identifier
13593
Additional Information
Thesis (M.S.)--Florida Atlantic University, 1973.
Charles E. Schmidt College of Science
FAU Electronic Theses and Dissertations Collection
Date Backup
1973
Date Text
1973
Date Issued (EDTF)
1973
Extension
FAU
FAU
admin_unit="FAU01", ingest_id="ing1508", creator="staff:fcllz", creation_date="2007-07-19 01:19:20", modified_by="staff:fcllz", modification_date="2011-01-06 13:08:58"
IID
FADT13593
Issuance
monographic
Organizations
Attributed name: Florida Atlantic University
Person Preferred Name
ELKMAN, WILLIAM ROBERT.
Graduate College
Physical Description
66 p.
application/pdf
Title Plain
MODE-MODE COUPLING IN AN ELECTRON BEAM PLASMA
Use and Reproduction
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Origin Information
1973
monographic
Boca Raton, Fla.
Florida Atlantic University
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
MODE-MODE COUPLING IN AN ELECTRON BEAM PLASMA
Other Title Info
MODE-MODE COUPLING IN AN ELECTRON BEAM PLASMA