Feautrier solution of the electron transport equation

Physics

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Elastic Scattering, Electron Transfer, Ionospheric Electron Density, Photoelectrons, Transfer Functions, Transport Properties, Approximation, Electron Scattering, Mathematical Models

Scientific paper

An efficient, accurate, and stable solution to the electron transport problem is presented. The two-stream approximation is discussed in detail, but the solution is developed for the general multistream case. Applied to the photoelectron problem, it is shown that accurate escape fluxes are obtained using only 10 altitudes distributed over the region 100 - 1000 km. The local equilibrium, two-stream, and multistream solutions to the photoelectron problem are compared. In addition, a recursion relation for the moments of the elastic angular scattering phase function is presented.

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