Shape reconstruction of nanoparticles from their associated plasmonic resonances

Habib Ammari; Mihai Putinar; Matias Ruiz; Sanghyeon Yu; Hai Zhang

doi:10.1016/j.matpur.2017.09.003

Shape reconstruction of nanoparticles from their associated plasmonic resonances

Habib Ammari, Mihai Putinar, Matias Ruiz, Sanghyeon Yu, Hai Zhang

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann–Poincaré operators associated with a class of quadrature domains and two nearly touching disks. Numerical results are included in support of our main findings.

Original language	English
Pages (from-to)	23-48
Number of pages	26
Journal	Journal des Mathematiques Pures et Appliquees
Volume	122
DOIs	https://doi.org/10.1016/j.matpur.2017.09.003
Publication status	Published - 2019 Feb
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Masson SAS

Keywords

Algebraic domain
Nearly touching particles
Neumann–Poincaré operator
Plasmonic resonance
Quadrature domain

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1016/j.matpur.2017.09.003

Cite this

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abstract = "We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann–Poincar{\'e} operators associated with a class of quadrature domains and two nearly touching disks. Numerical results are included in support of our main findings.",

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AU - Ammari, Habib

AU - Putinar, Mihai

AU - Ruiz, Matias

AU - Yu, Sanghyeon

AU - Zhang, Hai

PY - 2019/2

Y1 - 2019/2

N2 - We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann–Poincaré operators associated with a class of quadrature domains and two nearly touching disks. Numerical results are included in support of our main findings.

AB - We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann–Poincaré operators associated with a class of quadrature domains and two nearly touching disks. Numerical results are included in support of our main findings.

KW - Algebraic domain

KW - Nearly touching particles

KW - Neumann–Poincaré operator

KW - Plasmonic resonance

KW - Quadrature domain

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DO - 10.1016/j.matpur.2017.09.003

M3 - Article

AN - SCOPUS:85033393345

SN - 0021-7824

VL - 122

SP - 23

EP - 48

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

ER -

Shape reconstruction of nanoparticles from their associated plasmonic resonances

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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