Iterative technique for scattering by a linear array of spheres

A novel iterative procedure is proposed for the solution to the scattering by a system of conducting spheres. This approach requires the solution of the field scattered by each sphere assumed to be alone in the incident field, which acts as an incident field on the other spheres. Therefore, the first-order scattered field results from the excitation of each sphere by the incident field only, while the second-order scattered field results from the excitation of each sphere by the sum of all first-order scattered fields. Hence, this iterative process continues until the solution converges. One of the advantages of employing this approach is that the proposed solution does not require matrix inversion and therefore the desired scattered field coefficients are obtained after each iteration and used in the subsequent iteration. Numerical results are plotted for the normalized backscattering and bistatic cross section patterns for various electrical separations, radii, and angles of incidence.<>