R. Saunders et al., THE CALCULATION OF MAGNETOSTATIC FIELDS FROM AXISYMMETRICAL CONDUCTORS, Journal of physics. D, Applied physics, 29(3), 1996, pp. 533-539
We describe a method for calculating the magnetostatic fields of an ir
on free system of axisymmetric conductors. It is based on a series exp
ansion that has an extensive and useful convergence region. The method
is compared to the standard zonal harmonic method of Garrett. The con
vergence regions and the rates of convergence of the two methods are c
ompared. For conductors of rectangular cross section, an algorithm is
described in detail that calculates the conductors' magnetic fields. T
he implementation of the algorithm is computationally efficient using
recurrence relations throughout and involves no numerical integration.