Angular predictions of directional scattering distributions for metal and dielectric surfaces with length scales of the order of the wavelength are made from rigorous electromagnetic scattering theory. The theoretical and numerical formulation of the electromagnetic scattering solution based on the extinction theorem is presented. One-dimensional triangular surface profiles are generated using a Fourier series representation for various correlation lengths, deviations, and surface peak positions. Bidirectional reflection functions and directional emissivities are calculated for the surface geometry parameters above and various optical properties. Angular enhancements in bidirectional reflection and emissivity are quantified. Angular scattering and emissivity predictions have been extended beyond those previously reported to include surfaces with equivalent correlation length and deviation.

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