Analysis and synthesis of an impedanceloaded 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 wellknown 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 polezero configuration on the structure.
 Publication:

Final Report Air Force Weapons Lab
 Pub Date:
 November 1976
 Bibcode:
 1976afwl.reptT....B
 Keywords:

 Loads (Forces);
 Loop Antennas;
 Radiation Effects;
 Electromagnetic Pulses;
 Mathematical Models;
 Near Fields;
 Time Constant;
 Transfer Functions;
 Communications and Radar