The solution of a vector 3D inverse diffraction ploblem on a 3D heterogeneous body by a two-sweep method

Background. The purpose of this work is justification and implementation of the two-step approach for solving vector 3D inverse problem of diffraction by a heterogeneous solid with a piecewise smooth permittivity.
Materials and methods. The original boundary value problem for Maxwell's equations is reduced to a system of integro-differential equations; the system is studied using potential theory and Fourier transform.
Results. The integral formulation of the vector inverse problem of diffraction is given; uniqueness of a solution to the integro-differential equation of the first type is established in special function spaces; non-iterative approach for solving the inverse problem is implemented; several techniques for solutions' refinement are also implemented.
Conclusions. The two-sweep method is an efficient technique for solving vector 3D problems of near-field tomography.