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A new two-scale model is proposed for wave scattering from a composite surface. For each single scale surface roughness, we use a weighted sum of the newly developed statistical integral equation model and the second-order small slope approximation. With these two unifying models collaborating at each scale, this proposed compound model may capture the actual scattering mechanisms and lead to more accurate predictions. It holds the potential to bridge the gap between the regions of validity of the Kirchhoff approximation and the small perturbation model.The chosen simulation parameters suggest that the new two-scale model holds the potential to expand the validity regions of both its large scale and small scale components. The new model may have promising applications for electromagnetic scattering from the ocean surface, whose entire roughness spectrum can be discomposed into small-and large-scale components.

A new two-scale model is proposed for bistatic scattering from a composite surface. For the large scale surface roughness, we use the newly developed statistical integral equation model; for the small scale surface roughness, we adopt the second-order small slope approximation. It holds the potential to bridge the gap between the regions of validity of the Kirchhoff approximation and the small perturbation model.