Numerical solution of scattering from homogeneous material bodies of arbitrary cross-section: a new approach

The surface integral equation is formulated in terms of equivalent electric and magnetic currents over the object´s surface. An application of the boundary conditions leads to a set of four integral equations, a linear combination of which results in a coupled pair of equations which are solved numerically. A recently developed coordinate transformation technique for conducting bodies of arbitrary cross section is then extended to treat similar dielectric bodies of arbitrary cross section. A parametric function is defined in order to transfer the cross-sectional contour of the object onto the new space in order to utilize entire domain basis functions. The technique is then applied to study the radar cross sections of complex geometries such as dielectric cubes and prisms. The method is most useful for objects of a wavelength in size.<>