Off-axial field mapping with boundary compensation (matching) in axisymmetric problems

The present paper discusses the method of field mapping inside a selected enclosed area lying some way off axis, in axisymmetric problems. The region of interest is matched at the boundary by a second (similar) region, which encloses the remaining features of the problem not contained in the first region. Field mapping (or other mathematical procedures) are carried out alternately and sequentially in the two fields using a digital computer, as previously described for rzproblems on the axis, or for 2d problems (xy). The method may find useful application in electrical engineering (e.g. stress in insulators, van de Graaff generators, high voltage transformers, circular accelerators etc.) as well as other physical areas. An example of an electrical problem is outlined. It is hoped that the technique might continue to be usefully developed, tested and refined.