TY - JOUR

T1 - On the concept of random orientation in far-field electromagnetic scattering by nonspherical particles

AU - Mishchenko, Michael I.

AU - Yurkin, Maxim A.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

KW - T-MATRIX

KW - LIGHT-SCATTERING

UR - http://www.scopus.com/inward/record.url?scp=85011661384&partnerID=8YFLogxK

U2 - 10.1364/OL.42.000494

DO - 10.1364/OL.42.000494

M3 - Article

AN - SCOPUS:85011661384

VL - 42

SP - 494

EP - 497

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 3

ER -