Vandenplas, P. E. and Gould, R. W. (1964) Equations of a hot inhomogeneous plasma model - I: Resonance frequencies of a cylindrical plasma column. Journal of Nuclear Energy C, 6 (5). pp. 449-458. ISSN 0368-3281. doi:10.1088/0368-3281/6/5/301. https://resolver.caltech.edu/CaltechAUTHORS:20120920-133224408
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Abstract
A system of eight equations with eight unknowns, describing a coherent model of a hot and non-homogeneous cylindrical plasma is established. The model is characterized by a nonconstant electronic equilibrium density, the density gradient being balanced by an electrostatic field. The system of equations reduces to a system of six first-order ordinary linear differential equations with variable coefficients. The tensorial generalization of the initial system is derived. The resonance frequencies of a cylindrical plasma column corresponding to the proposed model is investigated. These frequencies are determined by the method of the scattering cross section of the column relative to a plane homogeneous electromagnetic wave with electric field strength perpendicular to the cylinder axis.
Item Type: | Article | ||||||
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Additional Information: | © 1964 Pergamon Press Ltd. Received 28 October 1963. One of us (P. V.) thanks Professor M. S. Plesset of the California Institute of Technology for the hospitality granted in his service during the academic year 1959-1960 when he had a Research Fellowship from the lnstitut Interuniversitaires des Sciences Nucleaires of Belgium. The California Institute of Technology enabled him to stay an extra three months in Pasadena by granting him funds of the U.S. Army Signal Research and Development Laboratory. | ||||||
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Issue or Number: | 5 | ||||||
Classification Code: | PACS: 52.35.Hr; 52.65.-y | ||||||
DOI: | 10.1088/0368-3281/6/5/301 | ||||||
Record Number: | CaltechAUTHORS:20120920-133224408 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120920-133224408 | ||||||
Official Citation: | Equations of a hot inhomogeneous plasma model - I: Resonance frequencies of a cylindrical plasma column P E Vandenplas and R W Gould 1964 J. Nucl. Energy, Part C Plasma Phys. 6 449 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 34271 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | INVALID USER | ||||||
Deposited On: | 20 Sep 2012 21:18 | ||||||
Last Modified: | 19 May 2023 17:50 |
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