Analysis and Synthesis of an Impedance-Loaded Loop Antenna Using the Singularity Expansion Method

Abstract

The purpose of the work is to show how the singularity expansion method (SEM) may be used to significantly simplify the calculation and synthesis of the response of a transmitting loop antenna excited by an electromagnetic pulse. Paralleling the well-known description of lumped circuits in terms of their poles and zeros, a compact representation of the loop antenna in terms of its poles and zeros is derived. The resulting time domain description of the loop response is simply a sum of terms involving the residues, the excitation, and the exponentially damped sinusoids whose complex frequencies are the frequencies at which radiation from a scatterer or antenna can take place without an applied excitation. One objective of this research is to investigate the possible use of the singularity expansion method to synthesize radiated time domain waveforms by uniformly loading a loop antenna. In particular, one wishes to choose the loading so as to realize some desired pole-zero configuration on the structure.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA033089

Entities

People

  • Ronald F. Blackburn

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Complex Variables
  • Control Systems
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetic Pulses
  • Equations
  • Far Field
  • Frequency
  • Frequency Domain
  • Generators
  • Impedance
  • Integral Equations
  • Loop Antennas
  • Magnetic Fields
  • Resonant Frequency
  • Time Domain
  • Transfer Functions

Fields of Study

  • Engineering

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering