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Principal Modes of Maxwell’s Equations

  • Ben HourahineEmail author
  • Duncan McArthur
  • Francesco Papoff
Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 99)

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.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Ben Hourahine
    • 1
    Email author
  • Duncan McArthur
    • 1
  • Francesco Papoff
    • 1
  1. 1.SUPA, Department of PhysicsUniversity of StrathclydeGlasgowUK

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