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A three-dimensional field solutions are presented for Halbach cylinder magnet. Based on Ampere equivalent current methods, the permanent magnets are taken as distributing of current density. For getting the three-dimensional field solution of ideal polarized permanent magnets, the solution method entails the use of the vector potential and involves the closed-form integration of the free-space Green's function. The programmed field solutions are ideal for performing rapid parametric studies of the dipole Hal-b ach cylinder magnets made from rare earth materials. T he field solutions are verified by both an analytical two-dimensional algorithm and three-dimensional finite element software. A rapid method is presented for extensile analyzing and optimizing Halbach cylinder magnet.
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