CALCULATION OF THE RETARDED ELECTRIC FIELD FOR AN ARBITRARY CHARGE AND CURRENT DISTRIBUTION.

Abstract

In the Lorentz gauge, the solutions to the scalar and vector potential equations (free space) are the retarded potentials, which are integrals of charge and current distributions over all space, subject to the retardation condition. It is shown that if the charge and current are 'turned on' in the finite past, integrals over a finite region result, in particular, over an expanding sphere of radius ct, centered at the field point. The limits of integration, which are time and space dependent, have been obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 08, 1969
Accession Number
AD0687398

Entities

People

  • R. J. Radin

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Electric Fields
  • Equations
  • Integrals
  • Mathematics
  • Retardation

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Space
  • Space - Hall-Effect Thruster