A computer program for the 2-D magnetostatic problem based on integral equations for the field of the conductors and boundary elements

This paper reports on the iterative design of the 2-dimensional cross section of a beam transport magnet having infinitely permeable iron boundaries which requires a fast means of computing the field of the conductors. Solutions in the form of series expansions are used for rectangular iron boundaries, and programs based on the method of images are used to simulate circular iron boundaries. A single procedure or program for dealing with an arbitrary iron boundary would be useful. The present program has been tested with rectangular and circular iron boundaries and provision has been made for the use of other curves. It uses complex contour integral equations for the field of the constant-current density conductors and complex line integrals for the field of the piecewise-linear boundary elements