Congruent reduction and mode conversion in 4-dimensional plasmas

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Standard eikonal theory reduces, to N=1, the order of the system of equations underlying wave propagation in inhomogeneous plasmas. The condition for this remarkable reducibility is that only one eigenvalue of the unreduced NxN dispersion matrix D(k,x) vanishes at a time. If, however, two or more eigenvalues of D become simultaneously small, the geometric optics reduction scheme becomes singular. These regions are associated with linear mode conversion, and are described by higher order systems. A new reduction scheme based on congruent transformations of D is developed, and it is shown that, in ''degenerate'' plasma regions, a partial reduction of order ... continued below

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Pages: 7

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Friedland, L. & Kaufman, A.N. April 1, 1987.

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Description

Standard eikonal theory reduces, to N=1, the order of the system of equations underlying wave propagation in inhomogeneous plasmas. The condition for this remarkable reducibility is that only one eigenvalue of the unreduced NxN dispersion matrix D(k,x) vanishes at a time. If, however, two or more eigenvalues of D become simultaneously small, the geometric optics reduction scheme becomes singular. These regions are associated with linear mode conversion, and are described by higher order systems. A new reduction scheme based on congruent transformations of D is developed, and it is shown that, in ''degenerate'' plasma regions, a partial reduction of order is possible. The method comprises a constructive step-by-step procedure, which, in the most frequent (doubly) degenerate case, yields a second order system, describing the pairwise mode conversion problems, the solution of which in general geometry has been found recently.

Physical Description

Pages: 7

Notes

NTIS, PC A02/MF A01; 1.

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  • 7. topical conference on applications of radio-frequency power to plasmas, Kissimmee, FL, USA, 4 May 1987

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  • Other: DE87010263
  • Report No.: LBL-23299
  • Report No.: CONF-870570-10
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 6345100
  • Archival Resource Key: ark:/67531/metadc1210666

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • April 1, 1987

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

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  • Oct. 30, 2018, 1:50 p.m.

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Friedland, L. & Kaufman, A.N. Congruent reduction and mode conversion in 4-dimensional plasmas, article, April 1, 1987; California. (digital.library.unt.edu/ark:/67531/metadc1210666/: accessed November 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.