Regularization Techniques for the Evaluation of the Induced Currents on a Thin Disk

The paper deals with the problem of finding the currents induced on a perfectly conducting disk of negligible thickness, in presence of a vertical magnetic dipole placed along the disk axis. The problem is of interest for several scattering problems with circular symmetry, from shielding surfaces to printed antennas. In particular, we present a regularization technique which allows for formulating the problem in terms of second-kind Fredholm integral equations whose kernels vanishes at low or high frequencies, thus directly providing a closed-form low- or high-frequency approximations of the solution.