Abstract

We study theoretically the nonlinear generation and scattering of sum-frequency electromagnetic radiation at randomly rough metallic surfaces. The approach permits the calculation of the scattered sum-frequency field for surfaces whose profiles are invariant in one direction, but are otherwise quite arbitrary, and we assume a fairly general form for the nonlinear polarization. The surfaces studied have a relatively large roughness scale and high slopes, which leads to substantial amounts of multiple scattering. We find that the mean angular distribution of the scattered sum-frequency light displays a well-defined minimum in a direction that depends on the angles of incidence of the excitation fields and their frequencies. The observed features are due to destructive interference between waves that have been multiply scattered in the valleys of the surface.

© 2011 Optical Society of America

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