采用高斯粗糙面来模拟实际粗糙面,根据基尔霍夫驻留相位近似法研究了粗糙面下方介质2中的电磁散射,结合高斯粗糙面的自相关函数导出了不同极化状态下高斯粗糙面透射波散射系数计算公式。通过数值计算得到了不同极化状态下高斯粗糙面透射系数随散射角、散射方位角及入射渡频率变化的曲线,讨论了粗糙面参数和入射波频率对不同极化状态透射系数的影响,得出了高斯粗糙面透射系数的基本特征和随频率变化的特征。结果表明粗糙面高度起伏均方根和相关长度对高斯粗糙面透射系数有显著影响,而入射渡频率则对其无影响。
A Gaussian rough surface is applied to describe the nature rough surface. The electromagnetic scattering in medium 2 under the rough surface is studied, and the formulae of the transmission coefficient for different polarization is deduced according to the Kirchhoff stationary-phase approximation with considering the autocorrelation function of the Gaussian rough surface. The curve of the scattering coefficient for different polarization transmission wave with varying of the scattering angle, the scattering azimuth angle and the frequency of the incident wave is obtained by numerical implementation, the influence of the dielectric constant, rough surface parameters and the frequency of the incident wave on the transmission coefficient for different polarization transmission wave is discussed, the basic characteristics and the characteristics with varying of frequency of the transmission coefficient from Gaussian rough surface are obtained. The numerical results show that the influence of the rms and the correlation length of the rough surface on the transmission coefficient of the Gaussian rough surface is large and obvious, but the influence of the incident frequency on the transmission coefficient of the Gaussian rough surface is nothing.