A method is described for calculating the impedance of conductor structures
comprised of ferromagnetic and non-magnetic layers of arbitrary cross sect
ional shape with transverse dimensions which are small compared to the cond
uctors length. The method is exemplified on a conductor of axial symmetry e
nclosed in a high permeability film of uniaxial anisotropy along the conduc
tor axis. To find the impedance the full boundary value problem for the vec
tor potential is solved, allowing driving and eddy currents in both the con
ductor and the magnetic film, and taking into account the dynamics of the m
agnetization governed by the Landau-Lifshitz equations. The results obtaine
d are used to model the giant magneto impedance effect in ferromagnetically
coated wires.