Rigorous analysis of the spectral sizing of single particles based on light scattering patterns

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Rigorous analysis of the spectral sizing of single particles based on light scattering patterns. / Romanov, Andrey V.; Yurkin, Maxim A.

In: Optics and Laser Technology, Vol. 151, 108047, 07.2022.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d06cf4508a184aa0a0451c031f8b99f0,

title = "Rigorous analysis of the spectral sizing of single particles based on light scattering patterns",

abstract = "The sizing of a single particle based on the Fourier spectrum of its angle-resolved light-scattering pattern (LSP) is widely used in practice but has been lacking rigorous theoretical justification. In this paper we fill this gap, starting with systematic analysis based on the Rayleigh-Gans-Debye (RGD) approximation. We related the LSP spectrum with an integrated autocorrelation function (IAF), determined solely by the particle geometry. If the exact forward scattering is not included in the LSP angular range and the Hann window is used for the Fourier transform, the LSP spectrum vanishes everywhere except near the discontinuities of the IAF derivatives. Thus, the main spectral peak corresponds to the particle diameter, i.e. largest distance between two interior points. Next, we showed that the same qualitative conclusions hold in the Wentzel-Kramers-Brillouin (WKB) approximation and in the general case, when no approximations are employed. In the case of the WKB, we proposed a change of the LSP argument to simplify the description of the resulting peak.",

keywords = "Fourier spectrum, Inverse problem, Light scattering, Spectral sizing",

author = "Romanov, {Andrey V.} and Yurkin, {Maxim A.}",

note = "Funding Information: The work was supported by the Russian Foundation for Basic Research (grant No. 19-32-90073). Publisher Copyright: {\textcopyright} 2022 Elsevier Ltd",

year = "2022",

month = jul,

doi = "10.1016/j.optlastec.2022.108047",

language = "English",

volume = "151",

journal = "Optics and Laser Technology",

issn = "0030-3992",

publisher = "Elsevier Ltd",

}

RIS

TY - JOUR

T1 - Rigorous analysis of the spectral sizing of single particles based on light scattering patterns

AU - Romanov, Andrey V.

AU - Yurkin, Maxim A.

PY - 2022/7

Y1 - 2022/7

N2 - The sizing of a single particle based on the Fourier spectrum of its angle-resolved light-scattering pattern (LSP) is widely used in practice but has been lacking rigorous theoretical justification. In this paper we fill this gap, starting with systematic analysis based on the Rayleigh-Gans-Debye (RGD) approximation. We related the LSP spectrum with an integrated autocorrelation function (IAF), determined solely by the particle geometry. If the exact forward scattering is not included in the LSP angular range and the Hann window is used for the Fourier transform, the LSP spectrum vanishes everywhere except near the discontinuities of the IAF derivatives. Thus, the main spectral peak corresponds to the particle diameter, i.e. largest distance between two interior points. Next, we showed that the same qualitative conclusions hold in the Wentzel-Kramers-Brillouin (WKB) approximation and in the general case, when no approximations are employed. In the case of the WKB, we proposed a change of the LSP argument to simplify the description of the resulting peak.

AB - The sizing of a single particle based on the Fourier spectrum of its angle-resolved light-scattering pattern (LSP) is widely used in practice but has been lacking rigorous theoretical justification. In this paper we fill this gap, starting with systematic analysis based on the Rayleigh-Gans-Debye (RGD) approximation. We related the LSP spectrum with an integrated autocorrelation function (IAF), determined solely by the particle geometry. If the exact forward scattering is not included in the LSP angular range and the Hann window is used for the Fourier transform, the LSP spectrum vanishes everywhere except near the discontinuities of the IAF derivatives. Thus, the main spectral peak corresponds to the particle diameter, i.e. largest distance between two interior points. Next, we showed that the same qualitative conclusions hold in the Wentzel-Kramers-Brillouin (WKB) approximation and in the general case, when no approximations are employed. In the case of the WKB, we proposed a change of the LSP argument to simplify the description of the resulting peak.

KW - Fourier spectrum

KW - Inverse problem

KW - Light scattering

KW - Spectral sizing

UR - http://www.scopus.com/inward/record.url?scp=85126587337&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/44873976-ee5d-3477-8017-4131b5cbba83/

U2 - 10.1016/j.optlastec.2022.108047

DO - 10.1016/j.optlastec.2022.108047

M3 - Article

AN - SCOPUS:85126587337

VL - 151

JO - Optics and Laser Technology

JF - Optics and Laser Technology

SN - 0030-3992

M1 - 108047

ER -

ID: 35751596