Cross-meridian refraction of ducted whistler-mode waves

Physics

Scientific paper

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Atmospheric Circulation, Atmospheric Physics, Ducted Flow, Earth Magnetosphere, Meridional Flow, Radio Wave Refraction, Whistlers, Longitude, Magnetic Fields, Magnetospheric Electron Density, Quadratures, Wave Propagation

Scientific paper

The propagation of a ducted whistler-mode wave is considered for the case in which the wave normal has an azimuthal component. The meridional gradient in electron density associated with the duct is taken to be sufficient to keep the meridional component of the wave normal close to the direction of the ambient magnetic field. Because of the strong anisotropy effects at whistler-mode frequencies, this may lead to a considerable difference, even in cross-meridian propagation, from the unducted case, where there is no such constraint. When there is axial symmetry, the deflection in longitude may be found by a series of elementary steps followed by quadrature, and results are presented for a dipole magnetic field and realistic plasmaspheric density models. For the case of an azimuthal density gradient, a first-order theory is given in which the variation in longitude is given by quadrature, and results are shown exhibiting the dependence on frequency and on the density model used. The case of a duct limited in longitude is also discussed. Here, the ray path oscillates in longitude, and a simple analysis enables the 'wavelength' and the relative amplitude of the oscillation to be estimated in terms of the density enhancement and the azimuthal width of the duct. Finally, in an Appendix, the effects of the oscillation in the meridional component of the wave normal, which are second-order, are analyzed.

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