Transport Techniques for Describing Scattering and Energy Deposition of Energetic Auroral Electrons.

Abstract

Auroral electron scattering and energy loss are calculated using for the first time a multi-angle equation of transfer at all energies. The results are compared with those obtained using a Fokker-Planck equation. Both equations have been solved in terms of their eigensolutions. The equation of transfer has also been solved by numerical integration. Fokker-Planck solutions agree well with equation-of-transfer solutions above 3 keV but deviate increasingly at lower energies. A comparison is made between the present Fokker-Planck results and those of M. Walt at 10 keV, giving good agreement. Energy deposition rates are also found to agree satisfactorily with those obtained previously. The accuracy of integration of the transfer equation is tested by comparing results obtained by the eigenvalue method and the direct integration method. Differences of less than 5% were found at all altitudes, energies and pitch angles. The predicted backscatter near the upper energy boundary' is sensitive to the boundary condition there. Backscatter results for various boundary conditions in energy show both this and the effects of the propagation of the boundary condition toward lower energies. Solutions to the equation of transfer are presented over the energy range from 10 ev to 40 keV and demonstrate the rapid rise in the flux below 100 ev, which is known to occur because of secondary electron production.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA016584

Entities

People

  • D. J. Strickland
  • D. L. Book
  • J. A. Fedder
  • T. P. Coffey

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Backscattering
  • Boundaries
  • Eigenvalues
  • Electron Scattering
  • Electrons
  • Equations
  • Fokker Planck Equations
  • Numerical Integration
  • Scattering

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Solar Physics

Technology Areas

  • Microelectronics