Spherical Mode Expansions for Flange-mounted Waveguide Apertures

Spherical transmission lines provide the rigorous network representation of radiation problems. In this work, the generalized network formulation is applied to the problem of radiation from arrays of flange-mounted rectangular and elliptical waveguides covered with a spherically stratified dielectric layer. It is shown that, by expressing the field in the half-space in terms of spherical waves, the physically matched solutions provide, in some cases, advantages for numerical computations and for network representations.