Discontinuous Galerkin Gauss-Newton Inversion for electromagnetic imaging

Abstract

Algorithms for solving time-harmonic electromagnetic inverse scattering problems can benefit from improved forward solver capabilities such as high-order discretizations of electromagnetic fields and constitutive parameters. The Discontinuous Galerkin Method (DGM) offers such high-order capabilities for simultaneously simulating both electric and magnetic fields from locally varying complex permittivity and permeability. In this work a Gauss-Newton Inversion (GNI) algorithm that adopts DGM as the forward solver is developed for 2D transverse magnetic inverse scattering problems.