Recovering the permittivity of an inhomogeneous dielectric body in a semi-infinite rectangular waveguide

Abstract

Background. The purpose of this work is to restore the permittivity of an inhomogeneous dielectric body located in a semi-infinite rectangular waveguide. The proposed method can be effectively applied to solving a number of problems in applied electrodynamics, such as flaw detection and determination of the metamaterials’ permittivity. Material and methods: To solve the studying problem, we used the method of volumetric singular integral equations. Results: A numerical method for reconstructing the dielectric constant of an inhomogeneous dielectric body located in a semi-infinite rectangular waveguide has been developed and substantiated. Numerical results are presented.. Conclusions: The proposed method can be effectively used for the design of nanocomposites and nanostructures, as well as for their study by the method of nondestructive testing.

Keywords

• boundary value problem
• inverse diffraction problem
• integro-differential equation
• green's tensor