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Prolate harmonics and axisymmetric conductor systems

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3 Author(s)
McCauley, C.J. ; Dept. of Math. & Phys., Manchester Polytech., UK ; Saunders, R. ; Zisserman, A.

A new method is described for calculating magnetostatic field variables of axisymmetric conductor systems, by expanding them as a series of prolate spheroidal harmonics. The authors include, as a special case, the standard spherical harmonic method of M.W. Garrett (1951, 1961). The comparative advantages and disadvantages of the prolate harmonic method and the spherical harmonic method are examined. A simple measure of convergence is derived for the prolate spheroidal harmonic method and confirmed for a conductor of rectangular cross section. The limitations of the prolate harmonic method are discussed

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Magnetics, IEEE Transactions on  (Volume:24 ,  Issue: 1 )