Shape reconstruction of nanoparticles from their associated plasmonic resonances

被引：15

作者：

Ammari, Habib ^{[1
]}

Putinar, Mihai ^{[2
,3
]}

Ruiz, Matias ^{[4
]}

Yu, Sanghyeon ^{[1
]}

Zhang, Hai ^{[5
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[3] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[4] Ecole Normale Super, Dept Math & Applicat, 45 Rue Ulm, F-75005 Paris, France

[5] HKUST, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2019年 / 122卷

关键词：

Plasmonic resonance; Neumann-Poincare operator; Algebraic domain; Quadrature domain; Nearly touching particles; PLANAR DOMAINS; INCLUSIONS; POINCAR; DESIGN;

D O I：

10.1016/j.matpur.2017.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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-Poincare operators associated with a class of quadrature domains and two nearly touching disks. Numerical results are included in support of our main findings. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：23 / 48

页数：26

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