Lee Siu-Chun
Applied Sciences Laboratory, Inc., El Monte, CA 91731, USA.
J Opt Soc Am A Opt Image Sci Vis. 2008 May;25(5):1022-9. doi: 10.1364/josaa.25.001022.
The solution for scattering by a layer of densely distributed infinite cylinders is presented. The layer is irradiated by an arbitrarily polarized plane wave that propagates in the plane perpendicular to the axes of the cylinders. The theoretical formulation utilized the effective field and quasi-crystalline approximation to treat the multiple scattering interactions in the dense finite medium. Governing equations for the propagation constants and amplitudes of the effective fields are derived for TM and TE mode incident waves, from which the scattered intensity distribution and scattering cross section for arbitrary polarization are obtained. The dense medium gives rise to coherent and incoherent scattered radiation that propagates in the plane normal to the axes of the cylinders. The coherent scattered radiation includes the forward component in the direction of the incident wave and the backward component in the direction of specular reflection. The incoherent scattered intensity distribution shows a pronounced forward peak that coincides with the angle of refraction of the effective waves inside the medium. Numerical results are presented to illustrate the scattering characteristics of a dense layer of cylinders as a function of layer thickness for a given solid volume fraction.
本文给出了由一层密集分布的无限长圆柱体引起的散射问题的解决方案。该层受到一个沿垂直于圆柱体轴线平面传播的任意偏振平面波的照射。理论公式利用有效场和准晶近似来处理密集有限介质中的多重散射相互作用。针对TM和TE模式入射波，推导了有效场传播常数和振幅的控制方程，由此得到任意偏振的散射强度分布和散射截面。密集介质会产生在垂直于圆柱体轴线平面传播的相干和非相干散射辐射。相干散射辐射包括沿入射波方向的前向分量和沿镜面反射方向的后向分量。非相干散射强度分布呈现出一个明显的前向峰值，该峰值与介质内部有效波的折射角重合。给出了数值结果，以说明对于给定的固体体积分数，圆柱体密集层的散射特性随层厚度的变化情况。
