State-Space Solution of Transient Electromagnetic Problems.

Abstract

The transient excitation of a cavity through an aperture is used to illustrate the state-space solution of transient electromagnetic problems. Depending on whether the E- or the H-formulation is used, the effect of the aperture can be accounted for by a magnetic current in invoking the induction theorem or by an electric current in invoking the equivalence theorem. The governing second-order differential equation is converted into a set of first-order state equations by defining three new state variables in addition to an appropriate vector potential. These state equations are soved by the method of moments. Two cases are considered: parallel polarization and perpendicular polarization. Some significant singularities for the parallel-polarization case are found and the electric intensities as functions of time at two locations in the cavity are computed for a step excitation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1977
Accession Number
ADA037087

Entities

People

  • David K. Cheng

Organizations

  • Syracuse University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Computers
  • Differential Equations
  • Electric Current
  • Electric Fields
  • Equations
  • Equations Of State
  • Frequency
  • Intensity
  • Method Of Moments
  • Military Research
  • Plane Waves
  • Resonant Frequency
  • Students
  • Triangles
  • United States
  • Universities
  • Waves

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space