Peng Xinyu, Li Jia, Chang Liping
Opt Express. 2018 Mar 19;26(6):6679-6691. doi: 10.1364/OE.26.006679.
Within the accuracy of the first-order Born approximation, expressions are derived for the cross-spectral density matrix of the electromagnetic field scattered from a three-dimensional (3D), spatially anisotropic medium. By using the analytical forms of the spectral degree of polarization (SDOP), semi-major axis, semi-minor axis, and orientation angle of the polarization ellipse, we illustrate the evolution properties of the polarization states of the far-zone scattered field. Dependences of the polarization ellipses on different combinations of correlation lengths of the medium and polarization of incident plane wave are also revealed through numerical simulations. It is shown that the polarization ellipse of the scattered field can be either stretched or squeezed along certain scattering angles, strongly depending on the anisotropic statistics of medium and polarization of incident plane wave. Our results substantially enrich the study on the reciprocal relations between the far-zone scattered properties and correlation statistics of a spatially anisotropic medium.
在一阶玻恩近似的精度范围内，推导了从三维（3D）空间各向异性介质散射的电磁场的交叉谱密度矩阵的表达式。通过使用偏振椭圆的光谱偏振度（SDOP）、半长轴、半短轴和取向角的解析形式，我们说明了远区散射场偏振态的演化特性。通过数值模拟还揭示了偏振椭圆对介质相关长度和入射平面波偏振的不同组合的依赖性。结果表明，散射场的偏振椭圆可以沿特定散射角拉伸或压缩，这强烈取决于介质的各向异性统计特性和入射平面波的偏振。我们的结果极大地丰富了对空间各向异性介质远区散射特性与相关统计之间互易关系的研究。
