Magnetostatic shielding by a cylindrically layered magnetic medium

Laplace's equation for the scalar magnetic potential in a cylindrically layered medium is solved for the case of a transversely uniform external field. Coefficients in the cylindrical harmonic expansion of the potential are governed by a set of linear equations for the N-layered inhomogeneity. In addition to verification that magnetostatic shielding is accomplished via a large volume of high-permeability materials, this simple boundary value problem is useful as a teaching tool in electromagnetics courses.<
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