On the concept of random orientation in far-field electromagnetic scattering by nonspherical particles | Zendy

Michael I. Mishchenko | Zendy; Maxim A. Yurkin | Zendy

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On the concept of random orientation in far-field electromagnetic scattering by nonspherical particles

Author(s) -

Michael I. Mishchenko,

Maxim A. Yurkin

Publication year - 2017

Publication title -

optics letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.524

H-Index - 272

eISSN - 1071-2763

pISSN - 0146-9592

DOI - 10.1364/ol.42.000494

Subject(s) - scattering , physics , electromagnetic field , classical mechanics , light scattering , formalism (music) , optics , near and far field , orientation (vector space) , scattering theory , electromagnetic radiation , theoretical physics , statistical physics , mathematics , quantum mechanics , geometry , art , musical , visual arts

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.

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