Mutual admittance between slots in cylinders of arbitrary shape

A numerical formulation involving the Fourier transform and the combined-field integral equation is presented to calculate the mutual admittance between axial slots or circumferential slots in arbitrarily shaped cylinders. Two cases are considered: coupling between two circumferential slots and coupling between two axial slots. The slots are assumed to be waveguide-fed apertures excited with the TE₁₀ waveguide mode, with no higher-order modes included in the model. The combined field-integral equation (CFIE) formulation was used in conjunction with the magnetic field integral equation (MFIE) to solve the resulting two-dimensional integral equation. Formulations for the axial slot case are discussed. Results concerning the discretization and truncation of the spectrum, as well as the accuracy of the procedure, are presented for both axial and circumferential cases. The accuracy of the procedure is demonstrated by comparison with eigenfunction data for circular cylinders