Mishchenko M I, Hovenier J W
Opt Lett. 1995 Jun 15;20(12):1356-8. doi: 10.1364/ol.20.001356.
We derive theoretically and validate numerically general relationships for the elements of the backscattering matrix and for the linear, delta(L), and circular, delta(C), backscattering depolarization ratios for nonspherical particles in random orientation. For the practically important case of randomly oriented particles with a plane of symmetry or particles and their mirror particles occurring in equal numbers and in random orientation, delta(C) = 2delta(L)/(1 - delta(L)). Extensive T-matrix computations for randomly oriented spheroids demonstrate that, although both delta(L) and delta(C) are indicators of particle nonsphericity, they cannot be considered a universal measure of the departure of particle shape from that of a sphere and have no simple dependence on particle size and refractive index.
我们从理论上推导并通过数值验证了后向散射矩阵元素以及随机取向的非球形粒子的线性、δ(L)和圆形、δ(C)后向散射去极化率的一般关系。对于具有对称平面的随机取向粒子或数量相等且随机取向的粒子及其镜像粒子这种实际重要情况，δ(C)=2δ(L)/(1 - δ(L))。对随机取向椭球体进行的大量T矩阵计算表明，尽管δ(L)和δ(C)都是粒子非球形的指标，但它们不能被视为粒子形状偏离球体形状的通用度量，并且与粒子大小和折射率没有简单的依赖关系。
