The singularity and eigenmode expansion methods with application to equivalent circuits and related topics
Abstract
Singularity expansion methods (SEM) and eigenmode expansion methods (EEM) are new techniques for solving transient electromagnetic coupling problems. This paper presents the basic concepts of SEM and EEM, and gives attention to obtaining SEM parameters (e.g., natural frequencies, natural modes, and coupling coefficients) from the frequencydomain integral formulation, the timedomain integral equation formulation, and measured data. The application of these techniques to the design of singleport equivalent circuits for antennas and scatterers is illustrated by the example of a thin linear dipole antenna with centered gap. Simple analytical formulas were obtained for the shortcircuit current and the drivingpoint admittance.
 Publication:

Acoustic, Electromagnetic and Elastic Wave Scattering  Focus on the TMatrix Approach
 Pub Date:
 1980
 Bibcode:
 1980aeew.proc..431B
 Keywords:

 Eigenvalues;
 Electromagnetic Interactions;
 Electromagnetic Pulses;
 Electromagnetic Scattering;
 Equivalent Circuits;
 Singularity (Mathematics);
 Boundary Value Problems;
 Coupling Coefficients;
 Dipole Antennas;
 Electric Current;
 Electrical Impedance;
 Electromagnetic Coupling;
 Integral Equations;
 Propagation Modes;
 Resonant Frequencies;
 Short Circuits;
 Electronics and Electrical Engineering