Multidomain analytical-numerical solution for a rotating magnetic field with a finite-length conducting cylinder

This paper treats the rotating magnetic field produced by a cylindrical she et of temporally and azimuthally periodic axial electric current with a fin ite-length, electrically conducting cylinder surrounded by an electrical in sulator inside the current sheet. As the frequency is increased, the magnet ic field produced by the induced current in the cylinder cancels progressiv ely more of the current-sheet magnetic field in the interior of the cylinde r. This paper presents results for several different frequencies and for se veral different length-to-diameter ratios for the cylinder. It compares the results at the midplane of a long cylinder to the analytical solution for an infinitely long cylinder. It also compares results for a high frequency to the predictions from the first two terms in an asymptotic expansion for high frequency.