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We present a new theoretical approach to the study of second and third harmonic generation from metallic nanostructures and nanocavities filled with a nonlinear material, in the ultrashort pulse regime. We model the metal as a two-component…

The interaction between the electromagnetic field and plasmonic nanostructures leads to both the strong linear response and inherent nonlinear behavior. In this paper, a time-domain hydrodynamic model for describing the motion of electrons…

Optics · Physics 2017-09-19 Ming Fang , Zhixiang Huang , Wei E. I. Sha , Xianliang Wu

Plasmonic waveguides provide an integrated platform to develop efficient nanoscale ultrafast photonic devices. Theoretical models that describe nonlinear optical phenomena in plasmonic waveguides, usually, only incorporate bulk…

Rigorous electrodynamical simulations based on the nonlinear Drude model are performed to investigate the influence of strong coupling on high harmonic generation by periodic metal gratings. It is shown that a thin dispersive material with…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Elena Drobnyh , Ruth Pachter , Maxim Sukharev

Applications of metallic metamaterials have generated significant interest in recent years. Electromagnetic behavior of metamaterials in the optical range is usually characterized by a local-linear response. In this article, we develop a…

This paper explores the application of Madelung hydrodynamic models to study two-dimensional electron gases, with a focus on nonlocal plasmonics and nonlinear optics. We begin by reviewing the derivation of the Madelung equations. Using the…

Mesoscale and Nanoscale Physics · Physics 2025-04-16 Simão S. Cardoso , A. J. Chaves , N. Asger Mortensen , N. M. R. Peres

Second-order nonlinear optical processes do not manifest in the bulk of centrosymmetric materials, but may occur in the angstroms-thick layer at surfaces. At such length-scales, quantum mechanical effects come into play which could be…

Optics · Physics 2021-05-11 Muhammad Khalid , Cristian Ciracì

Optical properties of periodic arrays of nanoholes of a triangular shape with experimentally realizable parameters are examined in both linear and nonlinear regimes. Utilizing fully vectorial three-dimensional approach based on the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Elena Drobnyh , Maxim Sukharev

Plasmons in atomically thin materials offer a compelling route to trigger nonlinear light-matter interactions through extreme optical confinement in the two-dimensional (2D) limit. However, optical nonlocality in plasmons is typically…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Line Jelver , Joel D. Cox

Inspired by recent measurements on individual metallic nanospheres that can not be explained with traditional classical electrodynamics, we theoretically investigate the effects of nonlocal response by metallic nanospheres in three distinct…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 Thomas Christensen , Wei Yan , Søren Raza , Antti-Pekka Jauho , N. Asger Mortensen , Martijn Wubs

It is known that both linear and nonlinear optical phenomena can be produced when the plasmon in metallic nanostructures are excited by the external electromagnetic waves. In this work, a coupled system of Maxwell equations and a gas…

Computational Physics · Physics 2020-03-18 Maohui Lyu , Weng Cho Chew , Lijun Jiang , Maojun Li , Liwei Xu

In this article, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi-free electrons inside the metal are approximated as a classical Coulomb-interacting electron gas, and…

Optics · Physics 2015-05-13 Yong Zeng , Walter Hoyer , Jinjie Liu , Stephan W. Koch , Jerome V. Moloney

The irradiation of an atomic cluster with a femtosecond x-ray free-electron laser pulse results in a nanoplasma formation. This typically occurs within a few hundreds femtoseconds. By this time the x-ray pulse is over, and the direct…

Plasma Physics · Physics 2016-02-17 Vikrant Saxena , Beata Ziaja

We present a study of the second-order nonlinear optical properties of metal-based metamaterials. A hydrodynamic model for electronic response is used, in which nonlinear surface contributions are expressed in terms of the bulk…

Heavily doped semiconductors have emerged as tunable low-loss plasmonic materials at mid-infrared frequencies. In this article we investigate nonlinear optical phenomena associated with high concentration of free electrons. We use a…

Optics · Physics 2021-03-17 Federico De Luca , Michele Ortolani , Cristian Ciracì

Using a hydrodynamic model of the free electron gas of metal, we theoretically investigate optically-induced DC current loops in a plasmonic nanostructure. Such current loops originate from an optical rectification process relying on three…

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

We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on second harmonic generation--the most fundamental process and the…

Analysis of PDEs · Mathematics 2026-05-04 Hongyu Liu , Zhi-Qiang Miao , Jingfeng Yao , Chengxun Yuan , Guang-Hui Zheng

Over the last three decades, plasmonics using metallic nanostructures has become central to nanophotonics research. Recently, its targets have been extended to nonlinear optical phenomena. In a nonlinear regime, quantum mechanical effects,…

Optics · Physics 2023-01-04 Takashi Takeuchi , Kazuhiro Yabana

An effective self-consistent model is derived and used to study the dynamics of an electron gas confined in a nonparabolic and anisotropic quantum well. This approach is based on the equations of quantum hydrodynamics, which incorporate…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Jerome Hurst , Kevin Leveque-Simon , Paul-Antoine Hervieux , Giovanni Manfredi , Fernando Haas
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