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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。
The extended boundary conditions method is used to analyze the electromagnetic scattering of the fractal rough surface and dielectric surface. With the extended Floquet mode, the field components are expanded by the Fourier series at the interface, and the expressions of the amplitude components of horizontal polarization and vertical polarization are obtained according to the boundary conditions and extended boundary conditions. The effectiveness of this method is verified by other approximation methods (Kirchhoff and Rayleigh methods) and energy conservation criteria.