Fourier modeling of magnetic shields with linear permeable material and finite dimensions

This paper describes a semianalytical modeling method capable of calculating the magnetic flux density in presence of a magnetic shield with finite dimensions and a linear permeability. The modeling method is based on Fourier modeling extended with mode-matching. The error of the semianalytical model with respect to a finite element solution is less than 1 (%), except for the area near the tangential edges of the magnetic sheet. The described model is compared with a model where an infinite permeability is assumed and a clear difference in behavior is found.