Microwave Tomography Method for Solving the Inverse Problem on Cylindrical Bodies

The principal aim of this study is to find a solution to the inverse problem of diffraction on cylindrical bodies located in free space. This problem can be applied in the diagnosis of breast cancer.. It is proposed to reduce the initial boundary value problem for the Helmholtz equation to an integral equation. This equation will be solved numerically. A two-step algorithm is used to solve the inverse problem. Graphic images are presented to illustrate the permittivity inside a body for the initial problem and for reconstructed values. A numerical method for finding the wave function is proposed and implemented, which makes it possible to identify the structure of an object without damaging or destroying it.