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Abstract
Interaction of oscillations is studied for a family of cylindrical slotted resonators whose cross section is formed by two rectangular domains. The electromagnetic field distributions are calculated by reducing the initial boundary value problem for the Helmholtz equation to the Fredholm integral equation of the first kind with a logarithmic singularity and then to infinite systems with respect to the unknown Fourier coefficients of the solution. The dispersion equation involving the infinite determinant is evaluated explicitly using perturbations and the small-parameter method. Under certain conditions the field distributions become unstable with respect to parameters of the structure (geometric, permittivity, etc.) and the intertype interaction of oscillations takes place. It is shown that such an unstable behavior occurs when a geometric parameter is varied in the vicinity of the so-called degeneration points. The information of such points may serve as data for the object retrieval and diagnostic purposes in microwave imaging.