Scattering from perfectly conducting sinusoidal surface using the OSRC approach

The on-surface radiation condition (OSRC) method is used to formulate the problem of scattering from a periodic, two-dimensional sinusoidal surface illuminated by a plane wave. In the OSRC method, a higher-order radiation condition is imposed directly on the surface of the scatterer. This will result in an analytical solution for the current distribution for the TM (transverse magnetic) case and an ordinary differential equation, for the TE (transverse electric) case. A comparison is made, for the TM case, between the present formulation, the exact solution, and the physical optics solution for a sinusoidal surface profile. The validity of the OSRC results is shown to depend on surface profile parameters and the angle of incidence.<>