Analytic formulation and quantitative solutions of the coupled ULF wave problem

Details Analytic formulation and quantitative solutions of the coupled ULF wave problem Analytic formulation and quantitative solutions of the coupled ULF wave problem

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jgr....93.8602z&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 93, Aug. 1, 1988, p. 8602-8612.

Computer Science

Numerical Analysis

92

Earth Magnetosphere, Extremely Low Radio Frequencies, Geomagnetism, Plasma Density, Resonance Lines, Resonant Frequencies, Landau Damping, Numerical Analysis, Perturbation Theory

Scientific paper

This paper examines the mode coupling between compressional Alfven wave mode and the shear Alfven wave mode in an inhomogeneous magnetized plasma. It is shown that, because of this wave mode coupling, MHD waves in an inhomogeneous magnetized plasma differ substantially from waves present in the homogeneous case, in which the compressional Alfven wave and the shear Alfven wave can exist independently, and any perturbation can be decomposed into these two wave modes. The problem is considered as an initial value problem; to treat the coupling, the analogy of Landau damping in a homogeneous plasma is used. The complex frequencies of the compressional wave are obtained by finding the singularities of the associated Green function. Using the numerical value of the complex frequency, the corresponding waveforms in the box are obtained. The calculations agree well with other simulation work and correspond to results obtained for the reflection of radio waves from the ionosphere and for plasma heating by absorption of radiation.

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