Method for Reconstruction the Parameters of Body Inhomogeneities from the Results of Electromagnetic Field Measurements

The aim of the work is to develop methods for non-invasive determination of dielectric parameters of inhomogeneities inside the body. This problem arises in acoustics, electrodynamics, flaw detection, and also in medicine. The process of electromagnetic wave scattering inside a body is described by a system of Maxwell’s equations. This system reduces to a volume singular integral equation. A two-step method is presented which allows to determine inhomogeneities inside the body with high accuracy. Results. This problem is solved numerically. The size of the matrix obtained in the calculation is about 15 000 elements. Graphical illustrations of restoration of dielectric parameters of inhomogeneities inside the body are presented. A physical experiment has been carried out to demonstrate the change in the field when inhomogeneities are set into the medium. A software package for determining the parameters of inhomogeneities inside the body has been proposed and realized.