Conversion Of Ordinary And Extraordinary Waves To Upper Hbrid Electrostatic Waves In Inhomogeneous Plasmas

Physics

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2471 Plasma Waves And Instabilities

Scientific paper

It is well known that inhomogeneity becomes important in wave coupling and mode conversion. There have been a few previous studies that ordinary(O) and extraordinary(X) electromagnetic(EM) waves are coupled to upper hybrid(UH) electrostatic(ES) waves in inhomogeneous plasmas. In this paper, we both numerically and analytically examine this issue in a three-dimensional multi-fluid model. First, we derive a set of coupled linear wave equations when a one-dimensional inhomogeneous density profile is assumed in a cold and collisionless plasma. The density gradient is assumed perpendicular to the magnetic field. When we consider the propagation of O and X waves in a magnetized plasma, we analytically show that both O and X modes are coupled and damped to the upper hybrid waves. These EM modes are found to have the logarithmic singular behavior at the upper hybrid resonance(UHR). Second, we numerically test the same case in a 3-D multi-fluid model. An impulsive input is assumed to excite the O and X waves in the inhomogeneous box model. In order to solve an initial-valued problem, the finite difference method is used in both time and space. The wave spectra of each electric and magnetic field are presented and compared with the analytical result. Our results suggest that the EM wave energy of both O and X modes is irreversibly converted into the upper hybrid ES energy wherever the resonant condition is satisfied. We discuss how the mode conversion appears in both electric and magnetic fields by analyzing time histories of each component. We also compare our results with the possibility of excitation and heating of the UH waves from the O and X waves in the UHR region of the ionosphere.

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