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We briefly outline the use of spheroidal functions in extrapolation of the external field of magnetic sources. The extrapolation is carried out by means of spatial harmonic analysis, in which the expansion functions are the spheroidal harmonics. An efficient method for computing external spheroidal harmonic functions of magnetostatic problems has been developed. The method can be utilized to the spatial harmonic characterization of magnetic sources in the prolate and oblate spheroidal coordinates. The new approach minimizes numerical imprecision in a wide range of parameters by using the Wronski determinant as a recurrence basis.
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Alexander V. Kildishev (2004) studied this question.
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