Transport theoretic solutions for auroral proton and H atom fluxes and related quantities

Physics

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Atom Concentration, Auroral Zones, Hydrogen Atoms, Proton Flux Density, Transport Theory, Approximation, Auroral Ionization, Boundary Value Problems, Elastic Scattering, Energy Dissipation, Forward Scattering, Inelastic Scattering, Ion Production Rates, Maxwell-Boltzmann Density Function, Scattering Cross Sections

Scientific paper

It is shown that linear transport theory may be used to solve for the auroral proton and H atom fluxes in plane-parallel geometry in the forward scattering and average discrete energy loss approximations. Inelastic scattering is taken into account in this approximation, but elastic scattering drops out and the solutions are approximations to the fluxes in the downward hemisphere. Using the multiple scattering method, the particle fluxes are obtained as finite sums of analytic functions of altitude, energy, and pitch angle. Closed form expressions are also found for the hemispherically averaged fluxes and for the energy deposition and ionization rates. The notion of pseudo-particles is discussed and used in approximating the sums that occur in the above formulas. Results are given for incident isotropic-Maxwellian proton fluxes.

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