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We present the results of numerical simulation of scattering of millimeter electromagnetic waves from a statistically rough earth surface by the methods of small perturbations and tangent surfaces. We develop numerical algorithms and codes for (i) calculation of the specific effective area of scattering from small-scale, large-scale, and combined (two-scale) structures of land-surface irregularities and (ii) calculation of the field scattered from a rough surface with allowance for the antenna pattern. As an example, we present the results of numerical calculation of the specific effective area of scattering and the scattered field for the case of the Gaussian single-lobe antenna pattern and a land-surface model (asphalt, concrete, sand, and snow) in the form of a periodic structure. The theoretical results obtained for the specific effective area scattering are in good agreement with the experimental data.

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