Linear Rayleigh and Raman scattering to the second order: Analytical results for light scattering by any scatterer of size k0d1/10

Robert P. Cameron and Neel Mackinnon
Phys. Rev. A 98, 013814 – Published 9 July 2018

Abstract

We extend the usual multipolar theory of linear Rayleigh and Raman scattering to include the second-order correction. These 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 analyzing samples in which the scatterers have nontrivial 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 k0d1/10 with less than 0.1% error resulting from the neglect of the third- and higher-order corrections. Our results are entirely analytical.

  • Received 16 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.013814

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Atomic, Molecular & Optical

Authors & Affiliations

Robert P. Cameron*

  • Department of Physics, University of Strathclyde, Glasgow G4 0NG, United Kingdom and School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom

Neel Mackinnon

  • School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom

  • *robert.p.cameron@strath.ac.uk

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Issue

Vol. 98, Iss. 1 — July 2018

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