Scattering of Electromagnetic Waves From a Tilted Slightly Rough Surface

The interaction of a plane wave and a slightly rough surface tilted away from a reference plane is investigated. Expressions for the scattered fields are obtained to second order for a perfectly conducting and a dielectric surface. In the limiting case of no tilt the fields agree with those of Rice. When the normal to the surface is rotated about the intersection between the incidence plane and the reference plane, the treatment yields important polarization effects and gives explicitly as a function of the tilt which irregularities on the surface contribute to the scattered power. Numerical results are obtained to investigate the relative magnitudes of the terms contributing to the cross sections.