Analysis of Surface Polariton Resonance for Nanoparticles in Elastic System

Youjun Deng; Hongjie Li; Hongyu Liu

doi:10.1137/18M1181067

Analysis of Surface Polariton Resonance for Nanoparticles in Elastic System

Youjun Deng, Hongjie Li, Hongyu Liu

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

21 Citations (Scopus)

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Abstract

This paper is concerned with the analysis of surface polariton resonance for nanoparticles in linear elasticity. With the presence of nanoparticles, we first derive the perturbed displacement field associated to a given elastic source field. It is shown that the leading-order term of the perturbed elastic wave field is determined by the Neumann--Poincaré operator associated to the Lamé system. By analyzing the spectral properties of the aforesaid Neumann--Poincaré operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.

Original language	English
Pages (from-to)	1786-1805
Number of pages	20
Journal	SIAM Journal on Mathematical Analysis
Volume	52
Issue number	2
DOIs	https://doi.org/10.1137/18M1181067
Publication status	Published - Jan 2020

Scopus Subject Areas

Analysis
Computational Mathematics
Applied Mathematics

User-Defined Keywords

Asymptotic and spectral analysis
Elastic scattering
Negative materials
Surface polariton resonance

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title = "Analysis of Surface Polariton Resonance for Nanoparticles in Elastic System",

abstract = "This paper is concerned with the analysis of surface polariton resonance for nanoparticles in linear elasticity. With the presence of nanoparticles, we first derive the perturbed displacement field associated to a given elastic source field. It is shown that the leading-order term of the perturbed elastic wave field is determined by the Neumann--Poincar{\'e} operator associated to the Lam{\'e} system. By analyzing the spectral properties of the aforesaid Neumann--Poincar{\'e} operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.",

keywords = "Asymptotic and spectral analysis, Elastic scattering, Negative materials, Surface polariton resonance",

author = "Youjun Deng and Hongjie Li and Hongyu Liu",

note = "Funding Information: The work of the first author was supported by the National Natural Science Foundation of China grant 11971487, the NSF of Hunan grant 2018JJ3622, the PSCF of Hunan grant 18YBQ077, and the RFEB of Hunan grant 18B337. The work of the third author was supported by a startup fund from City University of Hong Kong and Hong Kong RGC General Research Funds, 12302017, 12301218 and 12302919. Publisher copyright: {\textcopyright} 2020, Society for Industrial and Applied Mathematics",

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N2 - This paper is concerned with the analysis of surface polariton resonance for nanoparticles in linear elasticity. With the presence of nanoparticles, we first derive the perturbed displacement field associated to a given elastic source field. It is shown that the leading-order term of the perturbed elastic wave field is determined by the Neumann--Poincaré operator associated to the Lamé system. By analyzing the spectral properties of the aforesaid Neumann--Poincaré operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.

AB - This paper is concerned with the analysis of surface polariton resonance for nanoparticles in linear elasticity. With the presence of nanoparticles, we first derive the perturbed displacement field associated to a given elastic source field. It is shown that the leading-order term of the perturbed elastic wave field is determined by the Neumann--Poincaré operator associated to the Lamé system. By analyzing the spectral properties of the aforesaid Neumann--Poincaré operator, we study the polariton resonance for the elastic system. The results may find applications in elastic wave imaging.

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Analysis of Surface Polariton Resonance for Nanoparticles in Elastic System

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