关于非球形粒子远场电磁散射中随机取向的概念。
On the concept of random orientation in far-field electromagnetic scattering by nonspherical particles.
作者信息
Mishchenko Michael I, Yurkin Maxim A
出版信息
Opt Lett. 2017 Feb 1;42(3):494-497. doi: 10.1364/OL.42.000494.
Although the model of randomly oriented nonspherical particles has been used in a great variety of applications of far-field electromagnetic scattering, it has never been defined in strict mathematical terms. In this Letter, we use the formalism of Euler rigid-body rotations to clarify the concept of statistically random particle orientations and derive its immediate corollaries in the form of the most general mathematical properties of the orientation-averaged extinction and scattering matrices. Our results serve to provide a rigorous mathematical foundation for numerous publications in which the notion of randomly oriented particles and its light-scattering implications have been considered intuitively obvious.
尽管随机取向的非球形粒子模型已在远场电磁散射的各种应用中使用，但从未以严格的数学术语进行定义。在本信函中，我们使用欧拉刚体旋转形式体系来阐明统计随机粒子取向的概念，并以取向平均消光和散射矩阵的最一般数学性质的形式推导其直接推论。我们的结果为众多出版物提供了严格的数学基础，在这些出版物中，随机取向粒子的概念及其光散射含义一直被直观地认为是显而易见的。
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