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Optics and Spectroscopy, 2019, Volume 126, Issue 4, Pages 443–449
DOI: https://doi.org/10.21883/OS.2019.04.47514.345-18
(Mi os737)
 

This article is cited in 7 scientific papers (total in 7 papers)

Physical optics

A spheroidal model of light scattering by nonspherical particles

V. G. Farafonova, V. B. Il'inabc, M. S. Prokopjevab, A. R. Tulegenova, V. I. Ustimova

a Saint-Petersburg State University of Aerospace Instrumentation
b Saint Petersburg State University
c Pulkovo Observatory of Russian Academy of Sciences
Citations (7)
Abstract: We have constructed a spheroidal model to solve the problem of light scattering by nonspherical particles. The semiaxes of the model spheroid are determined based on the requirement that the volumes of initial and model particles are equal, as well as the ratios of their longitudinal and transverse dimensions. This ensures the closeness of the optical properties of initial and model particles. This approach has been applied to prolate and oblate parallelepipeds, cylinders, and cones with the ratios between their larger and smaller dimensions equal to 2 or 10. The direction of propagation of the incident TE or TM plane wave was either parallel or perpendicular to the symmetry axis of particles and model spheroid. The particle size has been determined by dimensionless parameter $x_v=2\pi r_v/\lambda$, which depends on the particle volume, since $r_v$ is the radius of the equivolume sphere. In calculations, this parameter has been varied from small values to fairly large ones, $x_v$ = 10. The applicability range of the model has been determined by comparing the results of numerical calculations performed by the rigorous separation of variables method for spheroids and the method of discrete dipoles for other nonspherical particles. It has been shown that the applicability range of the model for parallelepipeds, cylinders, and cones is wide enough for different parameters of the problem, in particular, if the parameter $x_v\le$ 6, then the relative error of the model does not exceed 10–15%. To a large extent, this is related to the fact that the first maximum of the dependence of scattering factor $Q_{\operatorname{sca}}$ on $x_v$ is similar for particles of different shapes approximated by one and the same model spheroid.
Funding agency Grant number
Russian Foundation for Basic Research
16-02-00194
18-52-52006
This work was supported by a grant from the State University of Aerospace Instrumentation in 2018–2019 and by the Russian Foundation for Basic Research, project nos. 16-02-00194 and 18-52-52006.
Received: 30.11.2018
Revised: 30.11.2018
Accepted: 11.12.2018
English version:
Optics and Spectroscopy, 2019, Volume 126, Issue 4, Pages 360–366
DOI: https://doi.org/10.1134/S0030400X19040076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Farafonov, V. B. Il'in, M. S. Prokopjeva, A. R. Tulegenov, V. I. Ustimov, “A spheroidal model of light scattering by nonspherical particles”, Optics and Spectroscopy, 126:4 (2019), 443–449; Optics and Spectroscopy, 126:4 (2019), 360–366
Citation in format AMSBIB
\Bibitem{FarIliPro19}
\by V.~G.~Farafonov, V.~B.~Il'in, M.~S.~Prokopjeva, A.~R.~Tulegenov, V.~I.~Ustimov
\paper A spheroidal model of light scattering by nonspherical particles
\jour Optics and Spectroscopy
\yr 2019
\vol 126
\issue 4
\pages 443--449
\mathnet{http://mi.mathnet.ru/os737}
\crossref{https://doi.org/10.21883/OS.2019.04.47514.345-18}
\elib{https://elibrary.ru/item.asp?id=37645644}
\transl
\jour Optics and Spectroscopy
\yr 2019
\vol 126
\issue 4
\pages 360--366
\crossref{https://doi.org/10.1134/S0030400X19040076}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Optics and Spectroscopy Optics and Spectroscopy
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