Lee Euntaek, Pilon Laurent
J Opt Soc Am A Opt Image Sci Vis. 2013 Sep 1;30(9):1892-900. doi: 10.1364/JOSAA.30.001892.
This paper demonstrates that the scattering cross section per unit length of randomly oriented linear chains of optically soft spheres asymptotically converges toward those of randomly oriented and infinitely long cylinders with volume-equivalent diameter as the number of spheres increases. The critical number of spheres necessary to approximate the linear chains of spheres as infinitely long cylinders decreased rapidly as the size parameter of an individual sphere increased from 0.01 to 10. On the other hand, their absorption cross section per unit length was identical to that of an infinitely long volume-equivalent cylinder for any number of spheres. However, this approximation does not apply to the angle-dependent normalized Stokes scattering matrix element ratios.
本文表明，随着球体数量的增加，光学软球体随机取向线性链的单位长度散射截面渐近收敛于具有体积等效直径的随机取向无限长圆柱体的散射截面。随着单个球体的尺寸参数从0.01增加到10，将球体线性链近似为无限长圆柱体所需的临界球体数量迅速减少。另一方面，对于任意数量的球体，它们的单位长度吸收截面与无限长体积等效圆柱体的吸收截面相同。然而，这种近似不适用于与角度相关的归一化斯托克斯散射矩阵元比率。
