Schwarz–Christoffel Transformation for Cladding Conducting Lines

We present an application of the conformal mapping methods to determine the magnetic field from the magnetic clad line. Making use of the Schwarz-Christoffel (S-C) transformation, we derive the expression for the magnetic field in such configuration, conveniently used to study the spatial feature of the magnetic field. The calculated results show that there is a threshold ratio for appearance of the plateau and the effect of the finite poles and structure parameters on the field distribution. Finally, an optimal geometry for the magnetic clad line is qualitatively concluded.