Liou K N
Appl Opt. 1972 Mar 1;11(3):667-74. doi: 10.1364/AO.11.000667.
The scattering of electromagnetic waves by arbitrarily oriented, infinitely long circular cylinders is solved by following the procedures outlined by van de Hulst. The far-field intensities for two cases of a linearly polarized incident wave are derived. The scattering coefficients involve the Bessel functions of the first kind, the Hankel functions of the second kind, and their first derivatives. Calculations are made for ice cylinders at three wavelengths: 0.7 micro, 3 micro, and 10 micro. The numerical results of intensity coefficients are presented as functions of the observation angle ø. A significant cross-polarized component for the scattered field, which vanishes only at normal incidence, is obtained. It is also shown that the numerous interference maxima and minima of the intensity coefficients due to single-particle effects depend on the size parameter x as well as on the oblique incident angle alpha. Since cylinder-type particles are often observed in ice clouds, the light-scattering calculations performed for a cir ular cylinder in this paper should be of use in the study of cloud microstructure.
通过遵循范德胡尔斯概述的程序,解决了任意取向的无限长圆柱体对电磁波的散射问题。推导了线偏振入射波两种情况下的远场强度。散射系数涉及第一类贝塞尔函数、第二类汉克尔函数及其一阶导数。对三种波长(0.7微米、3微米和10微米)的冰圆柱体进行了计算。强度系数的数值结果表示为观测角ø的函数。得到了散射场中一个显著的交叉偏振分量,该分量仅在正入射时消失。还表明,由于单粒子效应导致的强度系数的众多干涉极大值和极小值取决于尺寸参数x以及斜入射角α。由于在冰云中经常观察到圆柱型粒子,本文对圆柱体进行的光散射计算应有助于云微观结构的研究。