Linear Rayleigh and Raman scattering to the second order : analytical results for light scattering by any scatterer of size k0d ≲ 1/10

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Cameron, Robert P. and MacKinnon, Neel (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, 98 (1). pp. 1-16. 013814. ISSN 1050-2947 (https://doi.org/10.1103/PhysRevA.98.013814)

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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.

ORCID iDs

Cameron, Robert P. ORCID logoORCID: https://orcid.org/0000-0002-8809-5459 and MacKinnon, Neel;
  • Item type:Article
    ID code:64761
    Dates:
    Date
    Event
    9 July 2018
    Published
    18 June 2018
    Accepted
    Notes:(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.
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:10 Jul 2018 14:16
    Last modified:02 Feb 2025 19:15
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/64761
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