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From a structural point of view, plasmonic nanoparticles are always at least two-layer structures with a dielectric layer of stabilizing, targeting, fluorescent, Raman, or other functional molecules. To optimize the optical properties of…

Optics · Physics 2025-05-13 Nikolai G. Khlebtsov , Sergey V. Zarkov

In this paper, we propose a computational framework for the optimal design of broadband absorbing materials composed of plasmonic nanoparticle arrays. This design problem poses several key challenges: (1) the complex multi-particle…

Numerical Analysis · Mathematics 2025-08-07 Yu Gao , Hai Zhang , Kai Zhang

Metasurfaces, consisting of large arrays of interacting subwavelength scatterers, pose significant challenges for general-purpose computational methods due to their large electric dimensions and multiscale nature. This paper introduces an…

Computational Physics · Physics 2024-10-07 Emanuele Corsaro , Giovanni Miano , Antonello Tamburrino , Salvatore Ventre , Carlo Forestiere

We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract…

Numerical Analysis · Mathematics 2018-02-14 Jürgen Dölz , Helmut Harbrecht , Stefan Kurz , Sebastian Schöps , Felix Wolf

Metasurfaces is an emerging field that enables the manipulation of light by an ultra-thin structure composed of sub-wavelength antennae and fulfills an important requirement for miniaturized optical elements. Finding a new design for a…

When the sizes of photonic nanoparticles are much smaller than the excitation wavelength, their optical response can be efficiently described with a series of polarizability tensors. Here, we propose a universal method to extract the…

Mesoscale and Nanoscale Physics · Physics 2020-06-22 Adelin Patoux , Clément Majorel , Peter R. Wiecha , Aurélien Cuche , Otto L. Muskens , Christian Girard , Arnaud Arbouet

Localized surface plasmons (LSPs) are collective oscillations of free electrons in metal nanoparticles that confine electromagnetic waves into subwavelength regions, making them an ideal platform for light-matter coupling. To design and…

Optics · Physics 2024-10-23 Gangcheng Yuan , Jared H. Cole , Alison M. Funston

A simple and efficient analytical model is proposed for analyzing plasmonic phenomena arising in nanoscale defects on metal surfaces, specifically low aspect ratio dome-shaped protrusions and depressions. The model enables the calculation,…

Optics · Physics 2025-07-03 Anton V. Dyshlyuk , Oleg B. Vitrik

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

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.…

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…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 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…

Mathematical Physics · Physics 2015-10-28 Habib Ammari , Youjun Deng , Pierre Millien

The effect of smooth shape changes of metallic nanoparticles on localized surface plasmon resonances is assessed with a boundary integral equation method. The boundary integral equation method allows compact expressions of nanoparticle…

Mesoscale and Nanoscale Physics · Physics 2013-02-19 Titus Sandu

We develop a general-purpose formulation, based on two-dimensional spectral integrals, for computing electromagnetic fields produced by arbitrarily-oriented dipoles in planar-stratified environments, where each layer may exhibit arbitrary…

Computational Physics · Physics 2014-11-27 K. Sainath , F. L. Teixeira , B. Donderici

Label-free observation of nanoparticles by far-field optical microscopy is challenging because their ability to scatter or absorb light dramatically diminishes with decreasing size. Surface plasmon resonance (SPR) and localized surface…

Optics · Physics 2020-12-02 Nareg Ohannesian , Ibrahim Misbah , Steven H Lin , Wei-Chuan Shih

Rigorous coupled-wave analysis (RCWA) is a very effective tool for the studying optical properties of multilayered vertically invariant periodic structures. However, it fails to deal with arrays of small particles because of high gradients…

Optics · Physics 2019-10-08 Ilia M. Fradkin , Sergey A. Dyakov , Nikolay A. Gippius

In nanoscale photonic devices, the demand for multifunctionality from metasurface 2D optics increases rapidly. To explore fine-tuning in the design metric, we reinvestigated the trapezoid shape copper metasurface with Finite-Difference…

Optics · Physics 2022-11-10 Hosna Sultana

The boundary integral equation method ascertains explicit relations between localized surface phonon and plasmon polariton resonances and the eigenvalues of its associated electrostatic operator. We show that group-theoretical analysis of…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 R. C. Voicu , T. Sandu

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…

Mathematical Physics · Physics 2025-12-22 Youjun Deng , Hongyu Liu , Wanjing Tang , Guang-Hui Zheng

This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We employ a standard particle method for the numerical approximation of the distribution…

Numerical Analysis · Mathematics 2020-03-06 Torsten Keßler , Sergej Rjasanow , Steffen Weißer
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