AI Article Synopsis
- The paper addresses the lack of a strict mathematical definition for the model of randomly oriented nonspherical particles used in electromagnetic scattering.
- It utilizes Euler rigid-body rotations to better define statistically random particle orientations and derive important mathematical properties of extinction and scattering matrices.
- The findings aim to provide a solid mathematical basis for previous research that treated the concept of randomly oriented particles as intuitively clear.
Article 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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5828770 | PMC |
| http://dx.doi.org/10.1364/OL.42.000494 | DOI Listing |
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