The two-sweep method for heterogeneous body's permittivity determination in a waveguide

Background. The determination of characteristics of a material sample placed in a waveguide by measuring the electromagnetic field is an actual problem in radio electronics. The objective of the work is to study a mathematical model of electromagnetic waves scattering on volumetric heterogeneous bodies in a rectangular waveguide. Materials and methods. The direct problem of electromagnetic waves on a heterogeneous body placed in a waveguide is considered. This problem is reduced to solving the integro-differential equation. To solve the resulting equation, the projection method of Galerkin is used. The inverse problem of permittivity determination of a heterogeneous body in a waveguide is formulated. The inverse problem is reduced to solving an integral equation of the first kind and recalculating the function of permittivity through the polarization current. Results. The two-sweep method for heterogeneous body's permittivity determination in a waveguide is constructed. Numerical results of the solution of the inverse problem of the diffraction recovery of body's permittivity in a rectangular waveguide are obtained. Conclusions. The results can be applied in practice, for example, in studying of various nanocomposite materials and complex nanostructures by the nondestructive method of testing.