@inbook{600788709c1b40c7921a4896e48f971c,
title = "Principal modes of Maxwell{\textquoteright}s equations",
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{\textquoteright}s equations and analysing these solutions for nanoparticles and structures. The mathematical structure of this method allows a computationally efficient generalisation of Mie{\textquoteright}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.",
keywords = "principal modes, phase factors, Maxwell's equations",
author = "Benjamin Hourahine and Duncan McArthur and Francesco Papoff",
year = "2018",
month = apr,
day = "3",
doi = "10.1007/978-3-319-74890-0_1",
language = "English",
isbn = "9783319748894",
series = "Springer Series on Atomic, Optical, and Plasma Physics",
publisher = "Springer International Publishing AG",
editor = "Thomas Wriedt and Yuri Eremin",
booktitle = "The Generalized Multipole Technique for Light Scattering",
address = "Switzerland",
}