Parker, J. V. and Nickel, J. C. and Gould, R. W. (1964) Resonance oscillations in a hot nonuniform plasma. Physics of Fluids, 7 (9). pp. 1489-1500. ISSN 0031-9171. doi:10.1063/1.1711404. https://resolver.caltech.edu/CaltechAUTHORS:PARpof64
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Abstract
A quantitative theory of resonance oscillations, such as observed by Dattner and others, is given. The first two moments of the collisionless Boltzmann equation assuming a scalar pressure are used in conjunction with a physically reasonable radial electron density profile to describe the oscillations of a hot nonuniform plasma cylinder. These equations coupled with Maxwell's equations assuming a scalar potential are solved numerically to yield the frequency spectrum of the plasma wave resonances. It is found that the frequency spectrum depends on the parameter r/w2/<λd^2> where rw is the radius of the plasma column and <λd^2> is the mean square Debye length of the electron plasma. New experimental observations of dipole and quadrupole spectra for two plasma columns of differing radii are reported and the results of these observations are in good agreement with the theory. The physical mechanism of the resonances is described.
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| Additional Information: | © 1964 American Institute of Physics. Received 20 April 1964. The authors wish to express their sincere appreciation to the Office of Naval Research for the support of this investigation and to the National Science Foundation for the fellowship held by Mr. Parker during this period. | |||||||||
| Group: | Electron Tube and Microwave Laboratory | |||||||||
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| Issue or Number: | 9 | |||||||||
| DOI: | 10.1063/1.1711404 | |||||||||
| Record Number: | CaltechAUTHORS:PARpof64 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:PARpof64 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 9954 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 28 Mar 2008 | |||||||||
| Last Modified: | 19 May 2023 17:49 |
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