Transport Theory for Heavy Ion Beams Near a Target Surface.

Abstract

The method of Manning and Padgett (MP) for studying the transport of heavy ion beams in amorphous solids is modified to allow for inelastic (electronic) slowing of the ion beam as well as the losses from elastic scattering. The MP method consists of writing the distribution function that satisfies the Boltzmann transport equation in a form that reflects the physical processes that the beam ions undergo as they enter the target. In our version of this method, the beam distribution function consists of several terms with the following characteristics: n terms that represent beam ions that have undergone exactly zero, one, two, ..., n-1 elastic collisions, and a final term that represents beam ions that have undergone n or more elastic collisions. In the present work the formal solutions of the Boltzmann equation are given for these various terms. The explicit forms of the first two terms are presented and the results of sample calculations are reported. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 18, 1981
Accession Number
ADA096111

Entities

People

  • G. P. Mueller

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Classification
  • Delta Functions
  • Differential Equations
  • Distribution Functions
  • Elastic Scattering
  • Energy Transfer
  • Equations
  • Integral Equations
  • Method Of Characteristics
  • Military Research
  • Partial Differential Equations
  • Particles
  • Polynomials
  • Scattering
  • Step Functions
  • Transport Ships

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Pulsed Power and Plasma Physics.

Technology Areas

  • Microelectronics