Matrix formulation of scattering by a homogeneous gyrotropic cylinder

Matrix equations are given for computing the scattered wave of a homogeneous gyrotropic cylinder. An incident wave with arbitrary polarization is assumed to normally illuminate the cylinder, which is magnetized along its axis. The reciprocity theorem is first applied to the interior of the cylinder. According to the boundary condition, one can replace the tangential components of the total wave on the inside surface by that of the sum of the incident and the scattered waves on the outside surface; the scattered wave is expanded in terms of a series of Hankel functions. Making use of the idea of Waterman\´s extended integral equation, one obtains the matrix equations to directly determine the expansion coefficients of the scattered wave. The matrix equations have been solved numerically on the NEAC 2200 and the HITAC 5020E for a circular ferrite (or dielectric) cylinder and an elliptic ferrite cylinder. The former solutions are shown to converge to the exact solutions, and the latter scattering patterns of interest are shown in graphical form for an incident wave. The reciprocity theorem for scattered waves is also examined.