Application of the BIE and the impedance B.C. approach to a large steel slab in a finite length coil

The paper deals with the computation of eddy current losses in a linear magnetic or nonmagnetic conducting cylinder placed in the field of a coaxial finite length coil. The excitation current has only one component. The Fourier integral representation is used to replace the finite length coil by infinitely long travelling-wave ones with a continuous spectrum of wave numbers. Two different formulations in terms of Fredholm integral equations of the second kind are used. The exact formulation comprises four coupled regular one-dimensional integral equations; and the second, where the impedance B.C. approach is used, consists of two coupled singular one-dimensional integral equations. Numerical results are given for different coil dimensions.