Authors: Heinz W. Engl and Andreas Neubauer
Abstract: The problem we consider can be thought of as a nondestructive-testing problem of the following type: a large block of material with known magnetic permeability contains a collection of comparably small enclosures of cylindrical shape with known magnetic permeability. A stationary magnetic field is generated by use of a permanent magnet located outside the large block of material. The magnetic field is scattered by the enclosures. The aim is to determine the locations and precise shapes of the enclosures (using the knowledge that they are cylinders) from measurements of the scattered field.