Physics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phdt.........3r&link_type=abstract
Ph.D. Thesis Utah State Univ., Logan.
Physics
Earth Magnetosphere, Magnetohydrodynamic Waves, Tethered Satellites, Whistlers, Asymptotic Methods, Far Fields, Fourier Transformation, Ion Cyclotron Radiation, Wave Equations
Scientific paper
Because Alfven waves play an important role in natural space phenomena, there has developed in recent years an interest in exciting these low frequency waves in situ in the magnetosphere. Previous investigators have treated the excitation of Alfven waves from a magnetohydrodynamic viewpoint which reduces the problem to solving a one-dimensional wave equation. This approach is applicable only for very low frequencies. Two questions that previous research has left unanswered are at what point the magnetohydrodynamic theory breaks down and how the amplitude of the waves changes as the frequency is increased above the magnetohydrodynamic threshold. Answers are sought to these questions by solving the nonhomogenous wave equation in a cold uniform plasma-nonhomogenous in the sense that a known current source is included in the formulation. The method of solution employs a phase integral method to solve the inverse-Fourier transform of the wave equation which leads to a solution asymptotically valid in the far field of the source.
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