NON-DESTRUCTIVE CONTROL OF DIELECTRICS: MATHEMATICAL MODELS BASED ON ANALYTICAL REGULARIZATION

Several theoretical aspects of utilization of open waveguide resonators (OWR) in circular waveguides for the non-destructive control of dielectric parameters of various media (dielectrics, magnetic, chiral materials etc) that are widely used in practice ^1,2, are discussed in the paper. The parameter control by means of OWR relies on the solution of relevant boundary value and eigen boundary value problems for corresponding OWR and on definition of functional relation between electromagnetic characteristics (Q-factor, resonant frequency, amplitudes of scattered field) and parameters of the material under investigation (permittivity and permeability, chirality factor).