Magnetostatic potential distribution through a circular aperture ina thick conducting plane

The magnetostatic potential distribution through a circular aperture in a thick conducting plane is studied. The Hankel transform and mode-matching technique are utilized to obtain simultaneous equations for the modal coefficients inside the thick conducting plane. The simultaneous equations are solved to illustrate the behavior of the susceptibility in terms of the aperture size. Our solution is numerically very efficient in that it is represented in a rapidly converging series form