Research output: Contribution to journal › Article › peer-review
On the concept of random orientation in far-field electromagnetic scattering by nonspherical particles. / Mishchenko, Michael I.; Yurkin, Maxim A.
In: Optics Letters, Vol. 42, No. 3, 01.02.2017, p. 494-497.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 10312204