Plasmon resonances of nanorods in transverse electromagnetic scattering

DOI10.1016/j.jde.2022.02.035zbMath1495.35162arXiv2112.03697OpenAlexW4214703147MaRDI QIDQ2670023

Guang-Hui Zheng, Hongyu Liu, You-Jun Deng

Publication date: 10 March 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.03697

zbMATH Keywords

asymptotic analysisspectral analysiselectromagnetismNeumann-Poincaré operatorplasmon resonancenanorod

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Blow-up in context of PDEs (35B44) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Shape reconstructions by using plasmon resonances ⋮ Modal approximation for time-domain elastic scattering from metamaterial quasiparticles ⋮ Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime ⋮ Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation ⋮ On plasmon modes in multi‐layer structures

Cites Work

• Surface plasmon resonance of nanoparticles and applications in imaging
• Full and partial cloaking in electromagnetic scattering
• Mathematical analysis of plasmonic nanoparticles: the scalar case
• On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances
• Mathematical analysis of plasmonic resonance for 2-D photonic crystal
• Singular perturbation of reduced wave equation and scattering from an embedded obstacle
• Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance
• Mathematical analysis of plasmon resonances for curved nanorods
• Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit
• On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics
• Plasmon resonance and heat generation in nanostructures
• Plasmon Resonance with Finite Frequencies: a Validation of the Quasi-static Approximation for Diametrically Small Inclusions
• Cloaking of Small Objects by Anomalous Localized Resonance
• On the cloaking effects associated with anomalous localized resonance
• On regularized full- and partial-cloaks in acoustic scattering
• On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit
• Plasmonic Interaction between Nanospheres
• Analysis of Surface Polariton Resonance for Nanoparticles in Elastic System
• Sharp estimate of electric field from a conductive rod and application
• Shape reconstructions by using plasmon resonances
• Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions
• Slender-body theory for plasmonic resonance
• On Quasi-Static Cloaking Due to Anomalous Localized Resonance in $\mathbb{R}^3$
• Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes
• Quantum ergodicity and localization of plasmon resonances

This page was built for publication: Plasmon resonances of nanorods in transverse electromagnetic scattering