Rectangular patch resonator with laminated ground plane

In this paper, we analyze the effect of a laminated ground plane on the resonance frequency of rectangular patch resonators. We model each lamina of the ground plane as an anisotropic layer and use a transition matrix to relate the tangential field components in different laminae. An integral equation is formulated in the spectral domain, and Galerkin's method is applied to solve the integral equation for the resonance frequencies of the patch resonator. A perturbation approach is also derived for comparison. The effects of substrate dielectric are studied. The resonance frequency variation thus obtained will be useful in designing patch resonators attached to composite laminated surfaces.