Transport equation techniques for the deposition of auroral electrons

摘要: Auroral electron scattering and energy loss are calculated by using for the first time a multiangle equation of transfer at all energies. The results compared with those obtained Fokker-Planck equation. Both equations have been solved in terms their eigensolutions. has also numerical integration. solutions agree well above 3 keV but deviate increasingly lower A comparison is made between present M. Walt 10 keV, giving good agreement. Energy deposition rates found to satisfactorily previously. accuracy integration tested comparing eigenvalue method direct method. Differences less than 5% were altitudes, energies, pitch angles. predicted backscatter near upper boundary sensitive condition there. Backscatter various conditions show both this effects propagation toward Solutions given eV 20 based on measured auroral spectrum. These similar Banks et al. (1974). differ below that energy, finding which consistent our comparisons