Part I: A New Theory for Modeling Conductor-Backed Planar Slot Antenna Elements, in the Presence of a General Non-Planar Surrounding

We have developed a new analytical technique to model conductor-backed slot antenna elements in the presence of a general non-planar surrounding. The basic approach provides a new analytical framework to rigorously combine independent modeling of a central planar element and a non-planar surrounding. This would lead to an efficient modeling and design of “locally planar” structures. The theory is based on a complex spectral-plane analysis, which incorporates general scattering from its surrounding through a contour-deformation and harmonic decomposition analysis. The accuracy and versatility of the new method is demonstrated by applying it to selected source and scattering structures. The results are validated by comparing with independent data.