Subspace-Based Optimization Method for Reconstruction of 2-D Complex Anisotropic Dielectric Objects

Abstract

This paper presents an approach for reconstructing complex anisotropic dielectric objects. There are four main contributions of this work. First, the current work extends the subspace-based optimization method for the reconstruction of complex anisotropic scatterers, which was proposed originally for the reconstruction of isotropic scatterers. Second, our implementation shows that although the problem of reconstructing the complex anisotropic scatterers is more complicated than the isotropic scatterer reconstruction, the subspace-based optimization can be extended to this problem without increasing the computational complexity of the solution. Third, this work provides some representative numerical examples for the problem of reconstruction of complex anisotropic scatterers. Fourth, this work presents an important insight into the nature of currents induced on the scatterers and their effect on the reconstruction problem.