Abstract

From elementary theoretical considerations, a simple formula is obtained for representing the surface current density generated by an incident wave illuminating a two-dimensional perfectly conducting rough surface. This formula can be considered a correction of the Kirchhoff approximation in that it takes into account the radius of curvature of the surface. It is shown from comparisons with rigorously obtained results on circular cylinders, diffraction gratings, and nonperiodic rough surfaces that the precision of the new method is much better than that given by the Kirchhoff approximation.

© 1989 Optical Society of America

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