The Calculation of Late-Time Surface Burst EMP (Electromagnetic Pulse) Fields Using a Time-Independent Numerical Method.

Abstract

A numerical solution was developed to find the quasi-static EMP fields resulting from a surface nuclear burst. By ignoring the time derivatives in Maxwell's equations and expanding the electrostatic potential in Legendre polynomials, a set of differential equations was obtained that was dependent on r only (r = radius from burst). By employing finite difference, a tri-diagonal matrix equation was obtained that was on-linear in the electric field. This equation was solved using an iterative scheme. Analytic curve fits based on Monte Carlo data were used to determine the air ionization rate and Compton current. This permitted the angular variation of these sources to be included in the calculations. In addition, the electron air chemistry parameters were allowed to vary with the local electric field and water vapor content of the air. This was accomplished by the use of previously developed equations for these terms. Field calculations were made and compared to previous analytic results. The differences were found to be as great as 50 percent for peak field values. A limited parametric study was performed to consider the effects of varying the time, the yield, and the water vapor content. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA127303

Entities

People

  • James R. Downey

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computers
  • Differential Equations
  • Electric Fields
  • Electron Mobility
  • Electrons
  • Equations
  • Gamma Rays
  • Geometry
  • Mobility
  • Numerical Analysis
  • Self Assembly
  • Surface Burst
  • Time Dependence
  • United States
  • Water Vapor

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Solar Physics

Technology Areas

  • Microelectronics