Abstract
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.
© 2017 Optical Society of America
Full Article | PDF ArticleMore Like This
Matthew J. Berg, Nava R. Subedi, and Peter A. Anderson
Opt. Lett. 42(5) 1011-1014 (2017)
Tao Wang, Xiaoning Pan, Zhanghang Zhu, Xiaoling Ji, and Ke Cheng
J. Opt. Soc. Am. A 34(12) 2120-2125 (2017)
Vincent Noel, Guy Ledanois, Helene Chepfer, and Pierre H. Flamant
Appl. Opt. 40(24) 4365-4375 (2001)