Scattering of electromagnetic waves on a system of coupling high-Q dielectric resonators

I investigate an eigenoscillation problem of a coupling dielectric resonator (DR) system, which arrangement in a regular line. Eigenfunction orthogonality conditions is given. Solution of the scattering problem by N DR was by eigenoscillations superposition. Obtained results are used to investigate scattering parameters of the cylindrical form DR configurations placed side-by-side, and two-layer spherical resonators in a rectangular waveguide.