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The Decomposition-Reconstitution Theorem for Scattering Computation from Random Rough Surface

In this paper, the decomposition-reconstitution theorem is introduced to solve the electromagnetic scattering field from the random rough surface. The random rough surface is decomposed into a series of fractal described by sinusoidal basis functions and the scattering fields are computed for each fractal. The scattering field of surface is reconstituted by vector-superposing the scattering fields of fractal. The theorem is demonstrated by the numerical simulation using FDTD. It shows that the difference of both results is a little in the range of the calculation error. This theorem was applied to solving the backscattering coefficient of the soil surface of Qionglai Sichuan, the result generally coincides with the ground-based scatter-meter measurement data and AIEM.