The maser synchrotron instability in an inhomogeneous medium Application to the generation of the auroral kilometric radiation

Physics

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Auroras, Kilometric Waves, Magnetohydrodynamic Stability, Masers, Planetary Radiation, Space Plasmas, Synchrotron Radiation, Bandwidth, Distribution Functions, Plasma Waves, Power Gain, Wave Equations, Wentzel-Kramer-Brillouin Method

Scientific paper

A method for describing the X-mode wave generation in an inhomogeneous medium, close to a cut-off, is proposed. The necessity of including the effect of inhomogeneity, along the geomagnetic field lines, on the generation of the auroral kilometric radiation (AKR) by maser synchrotron instability, is illustrated. An energy balance equation which allows the evaluation of the net gain of X-mode waves is derived. For various model distribution functions, the emission of a given frequency is observed on a hollow cone, the semi-apical angle of which is determined by the ratio between the wave frequency and the plasma frequency, while its angular width is determined by the shape of the distribution function. It is shown that in the presence of low-frequency fluctuations, the source region is nonstationary. The maximum amplitude which can be reached by the AKR, by balancing trapping and inhomogeneity force, is evaluated.

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