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A new sampling algorithm used in multilevel UV factorization method for scattering from random rough surface

In this paper, we propose a new sampling algorithm combined with multilevel UV(MLUV) factorization method to calculate the scattering from Gaussian random rough surface with exponential correlation function. The new sampling algorithm is based on the steepness of patch pairs which support the basis functions. The numerical analyses in this paper show that the proposed algorithm significantly improves the accuracy of the UV approximation of matrix ZK.