Numerical computations in electromagnetics: A direct problem in magnetic recording and an inverse problem in medical imaging

The thesis will discuss two problems from the world of electromagnetics. The first problem is a direct problem with applications in magnetic recording. It focuses on a computation of magnetic field in an infinite cavity. The basic solution method is a Fourier approach. Numerical analysis of the method involves the study of an infinite matrix and issues surrounding the truncation of the matrix. The second problem is an inverse problem in electromagnetics. The inverse method computes the position and orientation of a dipole current source in a conducting medium using boundary measurements of the electromagnetic fields. The method is an asymptotic approach based on a low frequency assumption. The inverse method has applications in medical imaging.