Analysis of coupled cavity-backed resonators and the design of more effective resonant antennas

The spectral characteristics of a system incorporating two spherical thin shells with circular apertures are rigorously investigated. The strong coupling between two single cavity backed resonators is realized by “face to face” position of apertures. Excitation of coupled resonators is due to the point source (monopole) located along the axis of symmetry. Both the unloaded and loaded Q-factors are calculated. After a mathematically correct formulation of the problem and utilization of the Method of Analytical Regularization, the problem is reduced to the numerical analysis of a well-conditioned infinite system of linear algebraic equations of the second kind. This provides the convergence of solution of the truncated system to the exact solution and guarantees any pre-specified accuracy of computations at any frequency including the resonance frequencies.