Imperial College London
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DrOrySchnitzer

Faculty of Natural Sciences, Department of Mathematics

Reader in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 3833o.schnitzer Website

 
 
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Location

 

739Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Ruiz:2019:10.1098/rspa.2019.0294,
author = {Ruiz, M and Schnitzer, O},
doi = {10.1098/rspa.2019.0294},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
title = {Slender-body theory for plasmonic resonance},
url = {http://dx.doi.org/10.1098/rspa.2019.0294},
volume = {475},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We develop a slender-body theory for plasmonic resonance of slender metallic nanoparticles, focusing on a general class of axisymmetric geometries with locally paraboloidal tips. We adopt a modal approach where one first solves the plasmonic eigenvalue problem, a geometric spectral problem which governs the surface-plasmon modes of the particle; then, the latter modes are used, in conjunction with spectral-decomposition, to analyse localized-surface-plasmon resonance in the quasi-static limit. We show that the permittivity eigenvalues of the axisymmetric modes are strongly singular in the slenderness parameter, implying widely tunable, high-quality-factor, resonances in the near-infrared regime. For that family of modes, we use matched asymptotics to derive an effective eigenvalue problem, a singular non-local Sturm–Liouville problem, where the lumped one-dimensional eigenfunctions represent axial voltage profiles (or charge line densities). We solve the effective eigenvalue problem in closed form for a prolate spheroid and numerically, by expanding the eigenfunctions in Legendre polynomials, for arbitrarily shaped particles. We apply the theory to plane-wave illumination in order to elucidate the excitation of multiple resonances in the case of non-spheroidal particles.
AU  - Ruiz,M
AU  - Schnitzer,O
DO  - 10.1098/rspa.2019.0294
PY  - 2019///
SN  - 1364-5021
TI  - Slender-body theory for plasmonic resonance
T2  - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.2019.0294
UR  - http://hdl.handle.net/10044/1/72920
VL  - 475
ER  -
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