Transport Techniques for Describing the Elastic Scattering of Energetic Electrons.

Abstract

An equation of transfer for elastic scattering, and the corresponding Fokker-Planck equation are solved for strongly forward-peaked scattering. The cross sections employed are appropriate to kilovolt electrons scattering off light nuclei. Results are shown for which the backscattered flux calculated with the transfer equation is sensitive to the cross section at large angles, indicating that single large-angle scattering can be important even though the cross section for it many contribute but a small fraction of the total cross section. Solutions of the Fokker-Planck equation agree well with those of the counterpart integral equation, provided sufficient scatters are present to make multiple small angle scattering dominant. For thin systems, the Fokker-Planck results for backscatter fall below the integral-equation results. The integral equation of transfer has been solved both numerically and in terms of its eigenfunctions and eigenvalues. Solutions by the two distinct methods agree to at least three significant places, thereby establishing the accuracy of the applied numerical techniques.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1975
Accession Number
ADA018365

Entities

People

  • D. J. Strickland
  • I. B. Bernstein

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Backscattering
  • Eigenvalues
  • Eigenvectors
  • Elastic Scattering
  • Electrons
  • Equations
  • Fokker Planck Equations
  • Integral Equations
  • Integrals
  • Nuclear Scattering
  • Scattering

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Solar Physics

Technology Areas

  • Microelectronics