Dyadic Green's Function of Perfect Electromagnetic Conductor Rectangular Waveguides and Cavities

In this article, we present the dyadic Green's functions (DGFs) for electric dipole excitation of perfect electromagnetic conductor (PEMC) rectangular waveguides and cavities. To derive the DGFs of a PEMC rectangular waveguide, we define two sets of orthogonal vector wave functions, that satisfy the boundary conditions at the waveguide walls. The theory of finding the DGF of this waveguide is based on the Ohm-Rayleigh method and orthogonal properties of the rectangular vector wave functions. By having the DGFs of this waveguide, one can derive the DGFs of a PEMC rectangular cavity using the scattering superposition (SSP) principle. The derived electric DGF of this waveguide is used to obtain the electric field propagated inside the waveguide due to an arbitrary current distribution. The distribution of the electric field inside the PEC, PMC, and PEMC waveguides will be obtained and compared with each other.