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Plasmon resonance is the resonant oscillation of conduction electrons at the interface between negative and positive permittivity material stimulated by incident light, which forms the fundamental basis of many cutting-edge industrial…

偏微分方程分析 · 数学 2022-01-03 Youjun Deng , Hongyu Liu , Guang-hui Zheng

This paper investigates surface polariton resonance (SPR) in three-dimensional elastic metamaterials with nanorod geometry. The primary motivation is to surpass the physical limitations imposed by the quasi-static approximation for SPRs…

数学物理 · 物理学 2025-12-22 Youjun Deng , Hongyu Liu , Wanjing Tang , Guang-Hui Zheng

We develop an approximate quasi-static theory describing the low-frequency plasmonic resonances of slender nanometallic rings and configurations thereof. First, we use asymptotic arguments to reduce the plasmonic eigenvalue problem…

光学 · 物理学 2022-03-23 Matias Ruiz , Ory Schnitzer

In this paper we provide a mathematical framework for localized plasmon resonance of nanoparticles. Using layer potential techniques associated with the full Maxwell equations, we derive small-volume expansions for the electromagnetic…

数学物理 · 物理学 2015-10-28 Habib Ammari , Youjun Deng , Pierre Millien

We present an analytic theory for the optical properties of ellipsoidal plasmonic particles covered by anisotropic molecular layers. The theory is applied to the case of a prolate spheroid covered by chromophores oriented parallel and…

光学 · 物理学 2009-11-11 Tobias Ambjornsson , Gautam Mukhopadhyay , S. Peter Apell , Mikael Kall

In this paper, we investigate the hybridization theory of plasmon resonance in metallic nanostructures, which has been validated by the authors in [31] through a series of experiments. In an electrostatic field, we establish a mathematical…

偏微分方程分析 · 数学 2025-05-22 Qi Lei , Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

The discovery of localized plasmon polariton resonances has been pivotal in enabling tunability of the optical resonance. Recently, extensive research efforts have aimed to expand these achievements to other polaritonic states that exhibit…

This paper reports some novel and intriguing discoveries about the localization and geometrization phenomenon in plasmon resonances and the intrinsic geometric structures of Neumann-Poincar\'e eigenfunctions. It is known that plasmon…

偏微分方程分析 · 数学 2018-10-04 Eemeli Blasten , Hongjie Li , Hongyu Liu , Yuliang Wang

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

偏微分方程分析 · 数学 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

We explain the Lorentz resonances in plasmonic crystals that consist of 2D nano dielectric inclusions as the interaction between resonant material properties and geometric resonances of electrostatic nature. One example of such plasmonic…

光学 · 物理学 2021-12-22 Wei Li , Robert Lipton , Matthias Maier

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

数学物理 · 物理学 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

We study the nonlocal response of a confined electron gas within the hydrodynamical Drude model. We address the question whether plasmonic nanostructures exhibit nonlocal resonances that have no counterpart in the local-response Drude…

介观与纳米尺度物理 · 物理学 2011-09-30 Søren Raza , Giuseppe Toscano , Antti-Pekka Jauho , Martijn Wubs , N. Asger Mortensen

Single metallic nanorods acting as half-wave antennas in the optical range exhibit an asymmetric, multi-resonant scattering spectrum that strongly depends on both their length and dielectric properties. Here we show that such spectral…

A method for designing plasmonic particles with desired resonance spectra is presented. The method is based on repetitive perturbations of an initial particle shape while calculating the eigenvalues of the various quasistatic resonances.…

光学 · 物理学 2015-05-27 Pavel Ginzburg , Itay Shor , Nikolai Berkovitch , Amir Nevet , Meir Orenstein

We present analytical expressions for the resonance frequencies of the plasmonic modes hosted in a cylindrical nanoparticle within the quasistatic approximation. Our theoretical model gives us access to both the longitudinally and…

介观与纳米尺度物理 · 物理学 2021-01-29 Charles A. Downing , Guillaume Weick

We develop a theoretical framework, based on a multipole, quasi-static approach, for the prediction of the localized surface plasmon resonances in Fanoshells formed via geometrical symmetry-breaking in multilayer nanoshells consisting of a…

光学 · 物理学 2022-01-12 Luke C. Ugwuoke , Tjaart P. J. Krüger

Metallic nano-structures characterised by multiple geometric length scales support low-frequency surface-plasmon modes, which enable strong light localization and field enhancement. We suggest studying such configurations using singular…

介观与纳米尺度物理 · 物理学 2015-12-23 Ory Schnitzer

The specificity of modal-expansion formalisms is their capabilities to model the physical properties in the natural resonance-state basis of the system in question, leading to a transparent interpretation of the numerical results. In…

光学 · 物理学 2018-09-06 Wei Yan , Rémi Faggiani , Philippe Lalanne

In plasmonics, nonlocal effects arise when the material response to optical excitations is strongly dependent on the spatial correlations of the excitation. It is well known that a classical free electron gas system supports local Drude…

In this paper, we give the mathematical construction of novel core-shell plasmonic structures that can induce anomalous localized resonance and invisibility cloaking at certain finite frequencies beyond the quasistatic limit. The crucial…

偏微分方程分析 · 数学 2018-11-14 Hongjie Li , Hongyu Liu
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