Different representations of dyadic Green's functions for a rectangular cavity
Abstract
A detailed derivation is presented of several alternative representations of the dyadic Green's functions of both the vector potential type and electric type, for a rectangular cavity. Differentiation of discontinuous series expressions for evaluating the fields in a source region can be obviated through the use of the electric type function. Eigenfunction expansions of the dyadic Green's functions are worked out for a rectangular cavity, with three different but equivalent representations worked out for the electric type function. A triple sum form for the functions, already available for cylindrical and spherical cavities, can be reduced to a double sum in the case of cylindrical cavities.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 September 1976
 DOI:
 10.1109/TMTT.1976.1128914
 Bibcode:
 1976ITMTT..24..597T
 Keywords:

 Cavity Resonators;
 Dyadics;
 Green'S Functions;
 Rectangular Waveguides;
 Electromagnetic Fields;
 Microwave Circuits;
 Potential Theory;
 Waveguides;
 Electronics and Electrical Engineering