高斯分层介质粗糙面光波透射问题的微扰法研究

运用微扰法研究平面波入射分层介质粗糙面的光波透射问题，推出了不同极化状态的透射光波散射系数公式。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HH极化透射系数随透射光波散射角变化的曲线，讨论底层介质介电常数、中间介质介电常数和厚度、粗糙面参数及入射光波长对透射系数的影响。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、粗糙面参数及入射光波长对透射系数的影响是非常复杂的。

Investigation on optical wave transmission through Gaussian rough surface of layered medium using perturbation method

The optical wave transmission was studied with plane wave passing through the rough surface of layered medium. The scattering coefficient formulae of the transmitted light wave under different polarization states was derived with the perturbation method. The natural rough surface of layered medium was simulated with Gaussian rough surface. The calculation formulae for the transmission coefficient of the plane wave incidence to Gaussian rough surface of the layered medium was derived in combination with the power spectrum of Gaussian rough surface. The variation curves of HH polarization transmission coefficient with the scattering angle of transmission wave were obtained by numerical calculation. The influence of the dielectric constant of substrate medium, the dielectric constant and thickness of intermediate medium, rough surface parameters, and wavelength of incident optical wave on the transmission coefficient was discussed. The numerical results show that such influence is very complex.