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.
| Original language | English |
|---|---|
| Pages (from-to) | 1786-1805 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 52 |
| Issue number | 2 |
| Online published | 13 Apr 2020 |
| DOIs | |
| Publication status | Published - 2020 |
Research Keywords
- Asymptotic and spectral analysis
- Elastic scattering
- Negative materials
- Surface polariton resonance
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2020 Society for Industrial and Applied Mathematics.
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Dive into the research topics of 'ANALYSIS OF SURFACE POLARITON RESONANCE FOR NANOPARTICLES IN ELASTIC SYSTEM'. Together they form a unique fingerprint.Projects
- 3 Finished
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GRF: Mathematical and Computational Studies of Geomagnetic Anomaly Detections
LIU, H. (Principal Investigator / Project Coordinator)
1/09/19 → 22/01/24
Project: Research
-
GRF: Mathematical Analysis on Scattering from Corner Singularities, Inverse Shape Problems and Geometric Structures of Transmission Eigenfunctions
LIU, H. (Principal Investigator / Project Coordinator) & BLASTEN, E. (Co-Investigator)
1/09/18 → 2/08/22
Project: Research
-
GRF: Some Theoretical and Numerical Studies for Inverse Problems in Wave Propagations
LIU, H. (Principal Investigator / Project Coordinator)
1/01/18 → 3/11/21
Project: Research
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