The problem of determining heterogeneity parameters of compound bodies located in free space by measuring a scalar field

Background. Rapid development of electronic equipment caused an interest in diffraction problems for bodies located in free space. It is necessary to develop methods to reconstruct inhomogeneity parameters of bodies to be applied in such devices. The aim of this study is to develop an algorithm for solving the inverse problem of inhomogeneity reconstruction. Materials and methods. The problem is reduced to a volume singular integral equation. The algorithm, developed by the author, consists of two steps. On the first step, we use the data of field measurements to calculate the field inside a body. The next step is the inhomogeneity reconstruction which employs the calculated field. Results. Ther article describes the obtained numerical results of solving the inverse problem with measurement errors introduced. The study is focused on the dependence of the solution on the location of the source and observation points. Conclusions. The work presents the inverse problem solution. The method proves to be stable with respect to measurement errors. Repeating the measurements allows one to exclude wrong results. The range of wave frequencies that provide efficient solving of the problem is determined.