Abstract
A coherent and systematic multipole formulation of the magnetic field generated, both in the near and remote regions, by axially symmetric field and gradient systems is presented. These include an open spherical winding, an arbitrary number of coaxial coils, and a combination of coils and spherical or solenoidal windings. Optimum configurations for maximum uniformity of the field or field gradient are discussed and illustrated by numerical results. Legendre series resulting from the multipole expansion are analyzed at the system’s boundary where convergence is very slow, using a summation method particularly suitable for numerical computation.
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