Author Type

Graduate Student

Date of Award

1973

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

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.

Extent

66 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1973.|Charles E. Schmidt College of Science|FAU Electronic Theses and Dissertations Collection|Thesis (M.S.)--Florida Atlantic University, 1973.

Identifier

FADT13593

Format

pdf

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