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The plasmon resonances (modes) of a metal nanostructure can be defined as a dipole, a quadrupole, or high-order modes depending on the surface charge distribution induced by the incident field. In a non-symmetrical environment or clusters,…

We consider time-harmonic electromagnetic scattering by a cluster of hybrid dielectric-plasmonic dimers in $\mathbb{R}^3$. Each dimer consists of a high-contrast dielectric nanoparticle and a moderately contrasting plasmonic nanoparticle…

Analysis of PDEs · Mathematics 2026-01-14 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

We consider a chain of regularly-spaced spherical metallic nanoparticles, where each particle supports three degenerate localized surface plasmons. Due to the dipolar interaction between the nanoparticles, the localized plasmons couple to…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Charles A. Downing , Eros Mariani , Guillaume Weick

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…

Analysis of PDEs · Mathematics 2025-05-22 Qi Lei , Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

We study the light scattering by plasmonic and dielectric symmetric trimers to investigate the existence of polarization-independent Fano resonances. Plasmonic hybridization theory is revealed to hide simple physics, and we instead provide…

We theoretically investigate plasmon polaritons in cubic lattices of spherical metallic nanoparticles. The nanoparticles, each supporting triply-degenerate localized surface plasmons, couple through the Coulomb dipole-dipole interaction,…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Simon Lamowski , Charlie-Ray Mann , Felicitas Hellbach , Eros Mariani , Guillaume Weick , Fabian Pauly

Compared to single nanoparticles, strongly coupled plasmonic nanoparticles provide attractive advantages owing to their ability to exhibit multiple resonances with unique spectral features and higher local field intensity. These enhanced…

A hybrid system composed of an isotropic nanoparticle and a semiconductor heterostructure with a quantum well has been considered. The nanoparticle is supposed to be polarizable in an external electric field. A theoretical model of the…

Mesoscale and Nanoscale Physics · Physics 2012-06-22 V. A. Kochelap , S. M. Kukhtaruk

We study the effect of the electromagnetic environment on the resonance frequency of plasmonic excitations in dimers of interacting metallic nanoparticles. The coupling between plasmons and vacuum electromagnetic fluctuations induces a…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Charles A. Downing , Eros Mariani , Guillaume Weick

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…

Mesoscale and Nanoscale Physics · Physics 2021-01-29 Charles A. Downing , Guillaume Weick

The synthesis of metallic nanoparticle assemblies is nowadays well-controlled, such that these systems offer the possibility of controlling light at a sub-wavelength scale, thanks, for instance, to surface plasmons. Determining the energy…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 Olivier Masset , Roland Bastardis , Francois Vernay

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

Analysis of PDEs · Mathematics 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

We know that the electric field generated by a plasmonic nano-particle (with negative permittivity) is given as a polarization of the incident electric field. Similarly, the electric field produced by a dielectric nano-particle (with…

Analysis of PDEs · Mathematics 2024-12-18 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

Plasmon hybridization between closely spaced nanoparticles yields new hybrid modes not found in individual constituents, allowing for the engineering of resonance properties and field enhancement capabilities of metallic nanostructure.…

Optics · Physics 2016-10-13 Jingjing Zhang , Zhen Liao , Yu Luo , Xiaopeng Shen , Stefan A. Maier , Tie Jun Cui

In our work we investigate the propagation of optical modes in nanoscale hybrid plasmonic waveguides. Frequency domain Maxwell equations based simulations are implemented to study properties of mixed modes in 3D. The results of our analysis…

We present full quantum mechanical calculations of the hybridized plasmon modes of two nanowires at small separation, providing real space visualization of the modes in the transition from the classical to the quantum tunneling regime. The…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 Kirsten Andersen , Kristian L. Jensen , N. Asger Mortensen , Kristian S. Thygesen

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

Plasmon coupling and hybridization in complex nanostructures constitutes a fertile playground for controlling light at the nanoscale. Here, we present a semi-analytical model to describe the emergence of hybrid plasmon modes guided along 2D…

Mesoscale and Nanoscale Physics · Physics 2017-12-21 P. A. D. Gonçalves , Sanshui Xiao , N. M. R. Peres , N. Asger Mortensen

Peculiar ring gap modes on the surface of disk close to the metallic thin film are excited in the visible light regime. We apply plasmon hybridization method to illustrate the ring gap modes arising from the interaction between localized…

Optics · Physics 2021-02-02 Guodong Zhu , Linhong Qv , Yangzhe Guo , Yurui Fang

Modern nanophotonics has witnessed the rise of "electric anapoles", destructive interferences of electric dipoles and toroidal electric dipoles, actively exploited to cancel electric dipole radiation from nanoresonators. However, the…

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