Resonance and radiation of the elliptic disk microstrip structure, part I: Formulation

The analysis of resonance, input impedance, and radiation of the elliptic disk microstrip structure is rigorously formulated, using the scalar and vector Mathieu transforms. With the help of these transforms, the resonance frequencies of the structure can be derived exactly using Galerkin's method and approximately using a perturbational approach. Expressions for the input impedance and the radiation pattern are also obtained.