Rays and foci in a magneto-ionic medium with linearly varying magnetic field

Physics

Scientific paper

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Geomagnetism, Magnetoionics, Magnetospheric Instability, Plasma Waves, Whistlers, Lines Of Force, Magnetic Field Configurations

Scientific paper

An analytical study is carried out of rays from a source in a magneto-ionic medium in which the magnetic field is linear in the position coordinates. A general solution is given, and special cases, including that in which the magnetic field vector is confined to a plane, are examined. In the latter case, the specific sub-case of null current density, in which the field lines are rectangular hyperbolas, has been the subject of detailed numerical calculations. It is shown that focusing of rays can occur, though perhaps less readily than in the case of parabolic field lines considered by previous workers. The parameterization is related quantitatively to the terrestrial magnetic field.

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