4.6 Article

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

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OPTICS LETTERS
卷 42, 期 3, 页码 494-497

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Optica Publishing Group
DOI: 10.1364/OL.42.000494

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  1. National Aeronautics and Space Administration (NASA)
  2. Russian Science Foundation (RSF) [14-15-00155]

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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. (C) 2017 Optical Society of America

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