Global Maxwell Tomography : inverse scattering via magnetic resonance and volume integral equations

Abstract

This thesis describes the development of Global Maxwell Tomography, a global inverse scattering algorithm. This algorithm is based on Volume Integral Equation formulations and operates on Magnetic Resonance data. The algorithm is framed as an optimization problem with box constraints, whereby guesses of material properties are successfully refined until convergence criteria have been met. The algorithm is assessed with a number of numerical examples, and future steps and improvements are proposed herein.