ABSTRACT
Resonance near-field microwave sounding is an actively developing field of research whose main task is to diagnose various human tissue pathologies in medicine. Microwave sounding is associated with the visualisation of inhomogeneous dielectric media based on tissue scanning data in the microwave range. With the help of microwave sounding, it is possible to determine dielectric permittivity and conductivity of tissues of various physical nature. These electrodynamic characteristics depend on the physical properties of the medium, its structural and physicochemical composition, and can be used for diagnostic purposes in medicine. In theoretical studies, an algorithm for solving two-dimensional inverse problems on the change in the dielectric constant of inhomogeneities in biological media is proposed on the basis of scanning data of the diffraction field in the near zone of inhomogeneities. The algorithm is based on the integral representation of the diffraction field by means of “equivalent sources” and Lavrentiev’s regularisation method.
