EM Response of a Rectangular Thin Plate

Abstract

By putting the fundamental equations in terms fo the stream potential of the surface current density, it is possible to express the rectangular thin plate problem in a single equation subject to simple boundary conditions. A finite difference approximation of this equation reduces the problem to that of solving a large set of linear algebric equations. The solution of these equations by a modified Gauss-Seidel iterative method yields the stream potential and thus permits visualization of the eddy currents circulating inside the plate conductors. The secondary field calculated from the stream potential compares well will scale model measurements provided that the intervals used in the finite differences are small enough. Using a further approximation, inductively thick conductors can also be simulated if they are not also geometrically thick.