APPROXIMATE SERIES SOLUTIONS OF THE THREE-SPECIES ATMOSPHERIC DEIONIZATION DIFFERENTIAL EQUATIONS

Abstract

In the course of investigating the effects of a nuclear explosion on electromagnetic wave propagation, it is often convenient to consider the ionized constituents of the atmosphere to be represented by a single species of positive ions, a single negative ion species, and electrons. The number densities of these charged particles at a specific time after detonation are then obtained from the solution of a system of three differential equations which describe the time rate of change of each particle density. An exact analytic solution has not been found for these equations, and hence either approximate analytic forms or numerical integration methods are employed. The latter offers high accuracy but is often too time-consuming for general application. In this report a new set of approximate analytic solutions are derived which provide accuracies approaching that of numerical integration for many cases, but which retain the advantage of rapid computation.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0613199

Entities

People

  • R. L. Bogusch

Organizations

  • General Electric

Tags

Communities of Interest

  • Counter WMD
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Altitude
  • Computer Programs
  • Computers
  • Deionization
  • Differential Equations
  • Electromagnetic Wave Propagation
  • Electron Density
  • Electrons
  • Equations
  • Gamma Rays
  • Ion Density
  • Ionization
  • Numerical Integration
  • Steady State
  • Time Intervals
  • Wave Propagation

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.

Technology Areas

  • Microelectronics