Integrating the dyadic Green's function near sources
Abstract
Formulas are derived which allow the dyadic Green's function to be integrated for wellbehaved currents in the source region. The result is that the electric field due to a current distribution local to an observer can be expressed as a function of the current and its spatial derivatives at the point of observation plus a nonsingular integral over a surface containing the local currents. Although a spherical principal volume is used to derive the theory, the field due to this principal volume is exactly canceled by other terms. The exact form for pulse currents is derived. The theory is extended to nonpulse currents in an appendix.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 June 1990
 DOI:
 10.1109/8.55590
 Bibcode:
 1990ITAP...38..919N
 Keywords:

 Current Density;
 Dyadics;
 Green'S Functions;
 Delta Function;
 Dirac Equation;
 Physics (General)