The singular and bounded parts of dyadic Green's function in a rectangular waveguide

A systematic derivation of singular and bounded parts of the electric and magnetic dyadic Green's functions of electric and magnetic current inside a rectangular waveguide using Poisson's summation formula is given in this paper. The rectangular waveguide of dimensions (a, b) is assumed to be oriented such that the “a” dimension is in the x-direction, and “b” dimension in the y-direction. Integrals of singular parts of these functions over rectangles arbitrarily oriented in the waveguide, useful in the computation of electric and magnetic fields in the source region of uniform distribution of electric and magnetic currents are also presented. Numerical results verifying the correctness and accuracy of these expressions are presented.