分层高斯分布介质粗糙面电磁波透射问题的微扰法研究

Study on Electromagnetic Wave Transmission from Gaussian Distribution Rough Surface of Layered Medium Using Small Perturbation Method with the Gaussian spectrum

运用微扰法研究了平面波入射分层介质粗糙面的电磁波透射问题,推出了不同极化状态的透射波散射系数公式。采用高斯粗糙面来模拟实际的分层介质粗糙面,结合高斯粗糙面的功率谱,导出了平面波入射高斯分层介质粗糙面的透射系数计算公式。通过数值计算得到了HH极化透射系数随透射波散射角变化的曲线,讨论了底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射波频率对透射系数的影响。数值计算结果表明:底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射波频率对透射系数的影响是非常复杂的。

The electromagnetic wave transmission that plane wave incidence on the rough surface of layered medium is studied, the formulae of the transmission coefficient for different polarization is derived using the small perturbation method in associated with the Gaussian spectrum. A Gaussian rough surface is presented for describing natural rough surface of layered medium, the curves of the transmission coefficient of the HH polarization with varying of the scattering angle of transmission wave are obtained by numerical implementation, the influence of the permittivity of substrate medium, the permittivity and the mean layer thickness of intermediate medium, the roughness surface parameters and the frequency of the incident wave on the transmission coefficient is discussed. The numerical resuits show that the influence of the permittivity of substrate medium, the permittivity and the mean layer thickness of intermediate medium, the rms and the correlation length of the rough surface, and the incident frequency on the transmission coefficient is very complex.