Electromagnetic field scattering in a heterogeneous Earth: A solution to the forward problem

Based on the integral approach, a solution to Maxwell's equations has been developed for a three-dimensional medium in the form of the convergent Neumann's series function. The electric conductivity u and the permittivity E: of the medium were assumed to be complex-valued functions and to allow frequency dispersion. The medium is stimulated by an extrinsic current of an arbitrary configuration. The question of the rate of convergence of the constructed Neumann's series is studied. A constructive estimate has been obtained for the error of the numerical solution.