SCATTERING OF ELECTROMAGNETIC SPHERICAL WAVE BY A PERFECTLY CONDUCTING DISK

Abstract

The scattering of electromagnetic spherical wave by a perfectly conducting circular disk is studied by using the method of Kobayashi Potential (abbreviated as KP method). The formulation of the problem yields the dual integral equations (DIE). The spherical wave is produced by an arbitrarily oriented dipole. The unknowns are the induced surface current (or magnetic fleld) and the tangential components of the electric fleld on the disk. The solution for the surface current is expanded in terms of a set of functions which satisfy one of a pair (equations for the magnetic fleld) of Maxwell equations and the required edge condition on the surface of the disk. At this stage we have used the vector Hankel transform. Applying the projection solves the rest of the pair of equations. Thus the problem reduces to the matrix equations for the expansion coe-cients. The matrix elements are given in terms of the inflnite integrals with a single variable and these may be transformed into inflnite series that are convenient for numerical computation. The far fleld patterns of the scattered wave are computed and compared with those computed based on the physical optics approximation. The agreement between them is fairly good.