Analytic approach to auroral electron transport and energy degradation

Physics

Scientific paper

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Auroral Absorption, Electron Energy, Electron Scattering, Energy Dissipation, Transport Properties, Angular Distribution, Approximation, Distribution Functions, Electron Distribution

Scientific paper

The interaction of a beam of auroral electrons with the atmosphere is described by the linear transport equation, including discrete energy loss, multiple scattering, and secondary electrons. A solution to the transport equation provides the electron intensity as a function of altitude, pitch angle with respect to the geomagnetic field, and energy. A multistream (discrete ordinate) approximation to the transport equation is developed and used to obtain an analytic solution. The theory provides a framework in which angular distributions can be easily calculated and interpreted; a detailed study of the angular distributions of the 'nonabsorbed' electrons reveals a systematic variation with incident angle and energy, and with penetration depth.

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