The Magnetic Field Problem And the Analytical Continuation of the Magnetic Field for Two-Dimensional, Homogeneously And Inhomogeneously Magnetized Bodies

A method is presented for the calculation of the magnetic field strength inside as well as outside a homogeneously or inhomogeneously magnetized two-dimensional body. Employing Strahov´s solution for the field problem of a homogeneously magnetized body, a complete solution can be found for the external field of the body only. The calculation scheme developed here agrees with the relations given for this problem by Kolbenheyer and Tolcsvay, but it is more readily applicable to the solution of the inverse problem where the magnetization shall be calculated from the measured magnetic field. On the basis of the proposed calculation method a technique is described for the analytical continuation of the outer magnetic field into the inner region of a two-dimensional magnetized body. Several examples illustrate the application of the presented methods.