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Parametric Excitation of Whistler Waves by Circularly Polarized Electromagnetic Pumps in a Nonuniform Magnetoplasma: Modeling and Analysis

  • S. P. Kuo
  • Robert J. Barker

Abstract

Possible generation of whistler waves by Tromsø HF heater in an overdense plasma having a density profile increasing linearly with altitude is investigated. Two coupled mode equations are derived and combined, after Laplace-transformed in time, into an equation in the form of the Schrödinger equation. Thus, the threshold field and growth rate of the instability can be determined by the eigenvalues of the eigenvalue equation defined by the Bohr-Sommerfeld quantization condition. It is shown that the HF heater wave of both R-H and L-H polarizations can parametrically decay into whistler wave and a Langmuir sideband. The Langmuir sideband is an anti-Stokes (i.e., frequency upshifted) line in the case of the R-H (o-mode) pump, while it is a Stokes (i.e., frequency downshifted) line when an L-H (x-mode) pump is employed. Since whistler waves have a broad range of frequency, the simultaneously excited Langmuir waves can have a much broader frequency bandwidth than those excited by the parametric decay instability and can be either frequency-upshifted or downshifted.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • S. P. Kuo
    • 1
  • Robert J. Barker
    • 2
  1. 1.Weber Research InstitutePolytechnic UniversityFarmingdaleUSA
  2. 2.Air Force Office of Scientific ResearchBolling Air Force BaseUSA

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