Principal modes of Maxwell’s equations

Benjamin Hourahine; Duncan McArthur; Francesco Papoff

doi:10.1007/978-3-319-74890-0_1

Principal modes of Maxwell’s equations

Benjamin Hourahine, Duncan McArthur, Francesco Papoff

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Citation (Scopus)

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.

Original language	English
Title of host publication	The Generalized Multipole Technique for Light Scattering
Editors	Thomas Wriedt, Yuri Eremin
Place of Publication	Berlin
Publisher	Springer International Publishing AG
Chapter	1
Number of pages	33
ISBN (Print)	9783319748894, 9783319748900
DOIs	https://doi.org/10.1007/978-3-319-74890-0_1
Publication status	Published - 3 Apr 2018

Publication series

Name	Springer Series on Atomic, Optical, and Plasma Physics
Publisher	Springer
ISSN (Print)	1615-5653
ISSN (Electronic)	2197-6791

Keywords

principal modes
phase factors
Maxwell's equations

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10.1007/978-3-319-74890-0_1

Cite this

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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: Springer International Publishing AG, 2018. (Springer Series on Atomic, Optical, and Plasma Physics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Principal modes of Maxwell’s equations

AU - Hourahine, Benjamin

AU - McArthur, Duncan

AU - Papoff, Francesco

PY - 2018/4/3

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AB - 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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KW - phase factors

KW - Maxwell's equations

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DO - 10.1007/978-3-319-74890-0_1

M3 - Chapter

SN - 9783319748894

SN - 9783319748900

T3 - Springer Series on Atomic, Optical, and Plasma Physics

BT - The Generalized Multipole Technique for Light Scattering

A2 - Wriedt, Thomas

A2 - Eremin, Yuri

PB - Springer International Publishing AG

CY - Berlin

ER -

Principal modes of Maxwell’s equations

Abstract

Publication series

Keywords

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