Principal modes of Maxwell’s equations

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter reviews the use of principal modes—states which are maximally correlated between two subspaces and hence form pairs unique up to phase factors—in solving Maxwell’s equations and analysing these solutions for nanoparticles and structures. The mathematical structure of this method allows a computationally efficient generalisation of Mie’s analytical approach for the sphere to obtain semi-analytical solutions for general geometries with smooth interfaces. We apply this method to investigate a range of single and multiple particle metallic structures in the linear, non-linear and non-local response regimes outside of the quasi-static limit.
LanguageEnglish
Title of host publicationThe Generalized Multipole Technique for Light Scattering
EditorsThomas Wriedt, Yuri Eremin
Place of PublicationBerlin
Chapter1
Number of pages33
DOIs
Publication statusPublished - 3 Apr 2018

Publication series

NameSpringer Series on Atomic, Optical, and Plasma Physics
PublisherSpringer
ISSN (Print)1615-5653
ISSN (Electronic)2197-6791

Fingerprint

Maxwell equation
nanoparticles
geometry
Nanoparticles
Analytical Solution
Subspace
Range of data
Generalization
Review

Keywords

  • principal modes
  • phase factors
  • Maxwell's equations

Cite this

Hourahine, B., McArthur, D., & Papoff, F. (2018). Principal modes of Maxwell’s equations. In T. Wriedt, & Y. Eremin (Eds.), The Generalized Multipole Technique for Light Scattering (Springer Series on Atomic, Optical, and Plasma Physics). Berlin. https://doi.org/10.1007/978-3-319-74890-0_1
Hourahine, Benjamin ; McArthur, Duncan ; Papoff, Francesco. / Principal modes of Maxwell’s equations. The Generalized Multipole Technique for Light Scattering. editor / Thomas Wriedt ; Yuri Eremin. Berlin, 2018. (Springer Series on Atomic, Optical, and Plasma Physics).
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Hourahine, B, McArthur, D & Papoff, F 2018, Principal modes of Maxwell’s equations. in T Wriedt & Y Eremin (eds), The Generalized Multipole Technique for Light Scattering. Springer Series on Atomic, Optical, and Plasma Physics, Berlin. https://doi.org/10.1007/978-3-319-74890-0_1

Principal modes of Maxwell’s equations. / Hourahine, Benjamin; McArthur, Duncan; Papoff, Francesco.

The Generalized Multipole Technique for Light Scattering. ed. / Thomas Wriedt; Yuri Eremin. Berlin, 2018. (Springer Series on Atomic, Optical, and Plasma Physics).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Hourahine B, McArthur D, Papoff F. Principal modes of Maxwell’s equations. In Wriedt T, Eremin Y, editors, The Generalized Multipole Technique for Light Scattering. Berlin. 2018. (Springer Series on Atomic, Optical, and Plasma Physics). https://doi.org/10.1007/978-3-319-74890-0_1