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

Cameron, R. P. and 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: Atomic, Molecular and Optical Physics, 98, 013814. (doi: 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:MacKinnon, Neel and Cameron, Dr Robert
Authors: Cameron, R. P., and MacKinnon, N.
College/School:College of Science and Engineering
College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
663801NOVEL MANIFESTATIONS OF OPTICAL ACTIVITYStephen BarnettEngineering and Physical Sciences Research Council (EPSRC)EP/M004694/1S&E P&A - PHYSICS & ASTRONOMY