Linear Rayleigh and Raman scattering to the second order

analytical results for light scattering by any scatterer of size k0d ≲ 1/10

Robert P. Cameron, Neel MacKinnon

Research output: Contribution to journalArticle

3 Citations (Scopus)
10 Downloads (Pure)

Abstract

We extend the usual multipolar theory of linear Rayleigh and Raman scattering to include the second-order correction. The new terms promise a wealth of information about the shape of a scatterer and yet are insensitive to the scatterer's chirality. Our extended theory might prove especially useful for analysing samples in which the scatterers have non-trivial shapes but no chiral preference overall, as the zeroth-order theory offers little information about shape and the first-order correction is often quenched for such samples. A basic estimate suggests that our extended theory can be applied to a scatterer as large as k0d ∼ 1/10 with less than ∼ 0.1% error resulting from the neglect of the third- and higher-order corrections. Our results are entirely analytical.
Original languageEnglish
Article number013814
Pages (from-to)1-16
Number of pages16
JournalPhysical Review A
Volume98
Issue number1
DOIs
Publication statusPublished - 9 Jul 2018

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Rayleigh scattering
light scattering
Raman spectra
scattering
chirality
estimates

Keywords

  • Rayleigh scattering
  • Raman scattering

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title = "Linear Rayleigh and Raman scattering to the second order: analytical results for light scattering by any scatterer of size k0d ≲ 1/10",
abstract = "We extend the usual multipolar theory of linear Rayleigh and Raman scattering to include the second-order correction. The new terms promise a wealth of information about the shape of a scatterer and yet are insensitive to the scatterer's chirality. Our extended theory might prove especially useful for analysing samples in which the scatterers have non-trivial shapes but no chiral preference overall, as the zeroth-order theory offers little information about shape and the first-order correction is often quenched for such samples. A basic estimate suggests that our extended theory can be applied to a scatterer as large as k0d ∼ 1/10 with less than ∼ 0.1{\%} error resulting from the neglect of the third- and higher-order corrections. Our results are entirely analytical.",
keywords = "Rayleigh scattering, Raman scattering",
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Linear Rayleigh and Raman scattering to the second order : analytical results for light scattering by any scatterer of size k0d ≲ 1/10. / Cameron, Robert P.; MacKinnon, Neel.

In: Physical Review A, Vol. 98, No. 1, 013814, 09.07.2018, p. 1-16.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Linear Rayleigh and Raman scattering to the second order

T2 - analytical results for light scattering by any scatterer of size k0d ≲ 1/10

AU - Cameron, Robert P.

AU - MacKinnon, Neel

N1 - (c) APS Cameron, RP & MacKinnon, N 2018, 'Linear Rayleigh and Raman scattering to the second order: analytical results for light scattering by any scatterer of size k0d ≲ 1/10' Physical Review A, vol 98, no. 1, 013814, pp. 1-16.

PY - 2018/7/9

Y1 - 2018/7/9

N2 - We extend the usual multipolar theory of linear Rayleigh and Raman scattering to include the second-order correction. The new terms promise a wealth of information about the shape of a scatterer and yet are insensitive to the scatterer's chirality. Our extended theory might prove especially useful for analysing samples in which the scatterers have non-trivial shapes but no chiral preference overall, as the zeroth-order theory offers little information about shape and the first-order correction is often quenched for such samples. A basic estimate suggests that our extended theory can be applied to a scatterer as large as k0d ∼ 1/10 with less than ∼ 0.1% error resulting from the neglect of the third- and higher-order corrections. Our results are entirely analytical.

AB - We extend the usual multipolar theory of linear Rayleigh and Raman scattering to include the second-order correction. The new terms promise a wealth of information about the shape of a scatterer and yet are insensitive to the scatterer's chirality. Our extended theory might prove especially useful for analysing samples in which the scatterers have non-trivial shapes but no chiral preference overall, as the zeroth-order theory offers little information about shape and the first-order correction is often quenched for such samples. A basic estimate suggests that our extended theory can be applied to a scatterer as large as k0d ∼ 1/10 with less than ∼ 0.1% error resulting from the neglect of the third- and higher-order corrections. Our results are entirely analytical.

KW - Rayleigh scattering

KW - Raman scattering

UR - https://journals.aps.org/pra/

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DO - 10.1103/PhysRevA.98.013814

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