分形粗糙面的电磁散射－扩展边界条件

Scattering from Fractally Rough Surfaces with Use of the Extended Boundary Condition Method

用扩展边界条件方法对分形粗糙良导体面及介质面的电磁散射问题进行了分析。用推广的Floquet模式，在分界面处将场分量用Fourier级数展开，根据边界条件及扩展边界条件得到了水平极化和垂直极化散射场的幅度分量的表达式。用其它近似方法（Kirchhoff和Rayleigh方法）及能量守恒准则验证了此方法的有效性。

A new method for scattering from fractally rough perfectly conducting and dielectric surfaces is formulated with use of the extended boundary condition method. We expand the field through generalized Floquet modes and obtain analytical closed-from expressions for the scattering amplitudes for both horizontal and vertical polarization of the incident electromagnetic waves. The validity of this method is checked in several ways, such as comparison with approximate method (Kirchhoff and Rayleigh method)and calculation of the energy-balance parameter. Finally, numerical scattering results from fractal surfaces are provided.