Resonance in two coupled circular microstrip disk resonators

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Abstract
A rigorous formulation to the problem of two coupled circular microstrip disk resonators is presented. Using the vector Hankel Transform, the problem is formulated in terms of a set of vector integral equations. The resonance in the two coupled resonators is then analyzed using two approaches: Galerkin’s method and a perturbative approach. It is shown that the structure can support four different resonant modes: even symmetric, even antisymmetric, odd symmetric, and odd antisymmetric. Using the vector Hankel transform and Galerkin’s method, it is also shown that the perturbation formula can be derived as a special case of the rigorous equations when the dielectric substrate is thin compared to the radius of the smaller disk. Numerical results are presented for several cases.

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