Timedomain techniques in the singularity expansion method
Abstract
It is proposed to use timedomain singularity expansion method (SEM) to determine the poles and natural modes of a structure. The method is based on the timedomain scattering equation but does not involve calculation of the time response. The timedomain numerical equations form a matrix difference equation with real matrix coefficients. The homogeneous solution of the difference equation is a series of exponentials characteristic of the SEM representation. Both the timedomain SEM matrix form of solution and an equivalent eigenvalue form of solution are examined. Transmission line and wire scatterer problems are presented to illustrate the method.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 May 1981
 DOI:
 10.1109/TAP.1981.1142615
 Bibcode:
 1981ITAP...29..534C
 Keywords:

 Electromagnetic Scattering;
 Resonant Frequencies;
 Series Expansion;
 Singularity (Mathematics);
 Time Response;
 Transmission Lines;
 Complex Variables;
 Difference Equations;
 Eigenvalues;
 Electric Wire;
 Integral Equations;
 Electronics and Electrical Engineering