A three-dimensional field solution for radially polarized cylinders

Abstract
A three-dimensional field solution is presented for radially polarized permanent-magnet cylinders. The derived field formulae are evaluated in terms of finite sums of elementary functions. They are readily programmed and ideal for performing rapid parametric studies of the field distribution outside of cylinders made from rare earth materials such as NdFeB. The theory is demonstrated with some sample calculations that are verified by use of three-dimensional finite element analysis.

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