Calculation of the fields and power in a short magnetic cylinder in a transverse time-harmonic magnetic field

This paper applies the boundary integral equations for the rotating field problem to the case of a short non-magnetic or magnetic conducting cylinder in a uniform, transverse time-varying magnetic field to calculate the fields and losses in the cylinder, Both an exact formulation, in terms of four coupled, one-dimensional Fredholm integral equations of the second kind, and an approximate formulation, using the impedance boundary condition and two-coupled, one-dimensional integral equations, are presented and compared. Using the two approaches and a boundary element numerical method, accurate results are obtained over the entire frequency range.