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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,…

The electronic structure and optical properties of metallic nanoshells are investigated using a jellium model and the Time Dependent Local Density Approximation (TDLDA). An efficient numerical implementation enables applications to…

Materials Science · Physics 2009-11-10 P. Nordlander , E. Prodan

We investigate enhanced harmonic generation processes in gain-assisted, near-zero permittivity metamaterials composed of spherical plasmonic nanoshells. We report the presence of narrow-band features in transmission, reflection and…

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

In this paper we present a numerical method for hydrodynamic models that arise from time dependent density functional theories of freezing. The models take the form of compressible Navier-Stokes equations whose pressure is determined by the…

Numerical Analysis · Mathematics 2016-01-20 Arvind Baskaran , Zhen Guan , John Lowengrub

The plasmon response of metallic nanostructures is anticipated to exhibit nonlocal dynamics of the electron gas when exploring the true nanoscale. We extend the local-response approximation (based on Ohm's law) to account for a general…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 N. Asger Mortensen

Generation of energetic (hot) electrons is an intrinsic property of any plasmonic nanostructure under illumination. Simultaneously, a striking advantage of metal nanocrystals over semiconductors lies in their very large absorption cross…

Mesoscale and Nanoscale Physics · Physics 2017-08-31 Lucas V. Besteiro , Xiang-Tian Kong , Zhiming Wang , Gregory V. Hartland , Alexander O. Govorov

We propose Hybridizable Discontinuous Galerkin (HDG) methods for solving the frequency-domain Maxwell's equations coupled to the Nonlocal Hydrodynamic Drude (NHD) and Generalized Nonlocal Optical Response (GNOR) models, which are employed…

Numerical Analysis · Mathematics 2017-07-26 Liang Li , Stéphane Lanteri , N. Asger Mortensen , Martijn Wubs

We present theoretical investigations of high-order harmonic generation (HHG) resulting from the interaction of noble gases with localized surface plasmons. These plasmonic fields are produced when a metal nanoparticle is subject to a…

Plasmonic dimer antennas create strong field enhancement by squeezing light into a nanoscale gap. These optical hotspots are highly attractive for boosting nonlinear processes, such as harmonic generation, photoelectron emission, and…

Efficient modeling of dispersive materials via time-domain simulations of the Maxwell equations relies on the technique of auxiliary differential equations. In this approach, a material's frequency-dependent permittivity is represented via…

Investigating nanoplasmonics using time-dependent approaches permits shedding light on the dynamic optical properties of plasmonic structures, which are intrinsically connected with their potential applications in photochemistry and…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Piero Lafiosca , Luca Nicoli , Silvio Pipolo , Stefano Corni , Tommaso Giovannini , Chiara Cappelli

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

Resonant structures in modern nanophotonics are non-Hermitian (leaky and lossy), and support quasinormal modes. Moreover, contemporary cavities frequently include 2D materials to exploit and resonantly enhance their nonlinear properties or…

Computational Physics · Physics 2023-01-25 Thomas Christopoulos , Emmanouil E. Kriezis , Odysseas Tsilipakos

We study the excitation dynamics of Fano resonance within the classical model framework of two linear coupled oscillators. An exact solution for the model with a damped harmonic force is obtained. The details of growth a Fano profile under…

Optics · Physics 2018-03-23 P. A. Golovinski , A. V. Yakovets , E. S. Khramov

We describe the results of the two methods we developed to calculate the stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. These two…

Optics · Physics 2016-01-20 Wiktor Walasik , Gilles Renversez , Fangwei Ye

By using an asymptotic analysis and numerical simulations, we derive and investigate a system of homogenized Maxwell's equations for conducting material sheets that are periodically arranged and embedded in a heterogeneous and anisotropic…

Numerical Analysis · Mathematics 2019-04-22 Matthias Maier , Marios Mattheakis , Efthimios Kaxiras , Mitchell Luskin , Dionisios Margetis

We theoretically analyze dominant plasma modes in a two-dimensional disk of electron gas by calculating the absorption of an incident electromagnetic wave. The problem is solved in a self-consistent approximation, taking into account…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 I. V. Zagorodnev , D. A. Rodionov , A. A. Zabolotnykh

Hydrodynamic flow in two-dimensional electron systems has so far been probed only by dc transport and scanning gate microscopy measurements. In this work we discuss theoretically signatures of the hydrodynamic regime in near-field optical…

The propagation of electromagnetic waves in general media is modeled by the time-dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws that describe the response of the media. In this work, we focus on…

Numerical Analysis · Mathematics 2017-10-11 Vrushali A. Bokil , Yingda Cheng , Yan Jiang , Fengyan Li
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