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A Study of Nonlinear Phenomena in the Propagation of Electromagnetic Waves in a Weakly Ionized Gas


Chan, Tsiu Chiu (1966) A Study of Nonlinear Phenomena in the Propagation of Electromagnetic Waves in a Weakly Ionized Gas. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/E932-CW77.


This thesis is a study of nonlinear phenomena in the propagation of electromagnetic waves in a weakly ionized gas externally biased with a magnetostatic field. The present study is restricted to the nonlinear phenomena rising from the interaction of electromagnetic waves in the ionized gas. The important effects of nonlinearity are wave-form distortion leads to cross modulation of one wave by a second amplitude-modulated wave.

The nonlinear effects are assumed to be small so that a perturbation method can be used. Boltzmann’s kinetic equation with an appropriate expression for the collision term is solved by expanding the electron distribution function into spherical harmonics in velocity space. In turn, the electron convection current density and the conductivity tensors of the nonlinear ionized gas are found from the distribution function. Finally, the expression for the current density and Maxwell’s equations are employed to investigate the effects of nonlinearity on the propagation of electromagnetic waves in the ionized gas, and also on the reflection of waves from an ionized gas of semi-infinite extent.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Electrical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Papas, Charles Herach
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 October 1965
Funding AgencyGrant Number
Tektronix, Inc.UNSPECIFIED
Consolidated Electrodynamic CorporationUNSPECIFIED
International Business Machines CorporationUNSPECIFIED
Record Number:CaltechTHESIS:09102015-131924711
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9144
Deposited On:10 Sep 2015 23:14
Last Modified:27 Feb 2024 21:47

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