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Two level complex image method for periodic Green's function in scattering problem of periodic rough surface

机译:周期绿色散射问题定期绿色函数的两级复杂图像方法

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In this paper, a two level complex image method is proposed to deduce the spectral-domain Green's function for scattering from periodic surfaces in geometrical optical regime. In contrast to the one level complex image method, which can only derive periodic Green's function in closed form at low frequencies for scattering from periodic surfaces in physical optics regime and renormalization regime, the two level complex method can accurately derive the spectral-domain Green's function at high frequencies. The residual quotient in the spectral domain is approximated to an exponential series by the Generalized pencil-of-function method. The scheme approximates along a two level path, takes into account the contribution beyond T_0, and gives precise results in a wide frequency range. The calculated results are in good agreement with those of the spectral Kummer Poisson method, and the computational efficiency of the two level complex image method is higher.
机译:在本文中,提出了一种两级复杂图像方法来推导光谱域绿色的函数,以从几何光学制度中的周期性表面散射。 与一个级别复杂图像方法相比,该方法只能在低频下导出周期性绿色的功能,以在物理光学系统中的周期性表面和重新成态化状态下散射,两个级别复杂方法可以准确地推导频谱域绿色函数 高频。 光谱域中的残余商近似于通过广义的函数方法近似于指数系列。 该方案沿着两个级别路径近似,考虑到T_0之外的贡献,并在宽频率范围内得到精确的结果。 计算结果与光谱Kummer Poisson方法非常一致,两级复杂图像方法的计算效率更高。

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