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We present laboratory experiments on turbulence in a linearly stratified fluid driven by an ensemble of internal gravity waves which approaches statistical homogeneity and axi-symmetry. In a way similar to several recent experimental works,…

Fluid Dynamics · Physics 2023-05-31 Nicolas Lanchon , Daniel Odens Mora , Eduardo Monsalve , Pierre-Philippe Cortet

The ability to confine light into tiny spatial dimensions is important for applications such as microscopy, sensing and nanoscale lasers. While plasmons offer an appealing avenue to confine light, Landau damping in metals imposes a…

We study the main nonlinear solutions of plasmonic slot waveguides made from an anisotropic metamaterial core with a positive Kerr-type nonlinearity surrounded by two semi-infinite metal regions. First, we demonstrate that for a highly…

Optics · Physics 2018-01-15 Mahmoud M. R. Elsawy , Gilles Renversez

Phosphorene has emerged as an atomically-thin platform for optoelectronics and nanophotonics due to its excellent nonlinear optical properties and the possibility of actively tuning light-matter interactions through electrical doping. While…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Line Jelver , Joel D. Cox

We derive a nonlinear equation governing dynamics of short-wavelength longitudinal waves in ultrarelativistic electron-positron-ion plasmas. In contrast to the recent work by Lashkin [Phys. Plasmas {\textbf{27}}, 102302 (2020)], where a…

Plasma Physics · Physics 2021-07-28 V. M. Lashkin

Quantum nonlocality is arguably among the most counter-intuitive phenomena predicted by quantum theory. In recent years, the development of an abstract theory of nonlocality has brought a much deeper understanding of the subject. In…

Nonlocal nonlinear Schroedinger-type equation is derived as a model to describe paraxial light propagation in nonlinear media with different `degrees' of nonlocality. High frequency limit of this equation is studied under specific…

Exactly Solvable and Integrable Systems · Physics 2012-10-01 Boris Konopelchenko , Antonio Moro

Hydrodynamic systems arising in swarming modelling include nonlocal forces in the form of attractive-repulsive potentials as well as pressure terms modelling strong local repulsion. We focus on the case where there is a balance between…

Analysis of PDEs · Mathematics 2018-03-12 José A. Carrillo , Aneta Wróblewska-Kamińska , Ewelina Zatorska

We present a linear mode analysis of the relativistic MHD equations in the presence of finite electrical conductivity. Starting from the fully relativistic covariant formulation, we derive the dispersion relation in the limit of small…

High Energy Astrophysical Phenomena · Physics 2018-10-17 A. Mignone , G. Mattia , G. Bodo

A local model of the dielectric response of a metal predicts that singular surfaces, such as sharp-edged structures, have a continuous absorption spectrum and extreme concentration of energy at the singularity. Here we show that nonlocality…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Fan Yang , Yao-Ting Wang , Paloma Arroyo Huidobro , John B Pendry

We investigate plasmon resonances for curved nanorods which present anisotropic geometries. We analyze quantitative properties of the plasmon resonance and its relationship to the metamaterial configurations and the anisotropic geometries…

Analysis of PDEs · Mathematics 2020-07-23 Youjun Deng , Hongyu Liu , Guanghui Zheng

Spatio-temporal control of ultrafast plasmon resonances has gained research interest in recent years because of their tremendous implications in nonlinear optics and ultrafast quantum technology. In particular, the lifetime of ultrashort…

Optics · Physics 2022-03-01 Hira Asif , Ramazan Sahin

We investigate the interaction of a plane, linearly polarized, Alfvenic pulse with a one-dimensional, perpendicular to the magnetic field, plasma density inhomogeneity in the strongly nonlinear regime. Our numerical study of the full MHD…

Astrophysics · Physics 2009-11-07 D. Tsiklauri , V. M. Nakariakov , T. D. Arber

An atom-waveguide system, which presents one of the quantum interfaces that enable strong couplings between light and atoms, can support tightly-confined guided modes of light. In this distinctive quantum interface, we theoretically…

Quantum Physics · Physics 2021-05-18 H. H. Jen , J. -S. You

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

In this work, we study a class of nonlocal-in-time kinetic models of incompressible dilute polymeric fluids. The system couples a macroscopic balance of linear momentum equation with a mezoscopic subdiffusive Fokker-Planck equation…

Analysis of PDEs · Mathematics 2025-11-11 Marvin Fritz , Endre Süli , Barbara Wohlmuth

We present a quantum theory for the interaction of a two level emitter with surface plasmon polaritons confined in single-mode waveguide resonators. Based on the Green's function approach, we develop the conditions for the weak and strong…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 T. Hümmer , F. J. García-Vidal , L. Martín-Moreno , D. Zueco

This paper is concerned with the theoretical study of plasmonic resonances for linear elasticity governed by the Lam\'e system in $\mathbb{R}^3$, and their application for cloaking due to anomalous localized resonances. We derive a very…

Analysis of PDEs · Mathematics 2017-04-27 Hongjie Li , Jinhong Li , Hongyu Liu

A fundamental trade-off relation between the cross sectional confinement and propagation length of an arbitrary mode of a general waveguide is presented. This limit is a generalization of the well-known diffraction limit for guided modes.…

Optics · Physics 2014-11-18 Amir Arbabi , Ehsan Arbabi , Safieddin Safavi-Naeini

We propose a deterministic particle method for a one-dimensional nonlocal equation with interactions through the repulsive Morse potential. We show that the particle method converges as the number of particles goes to infinity towards weak…

Analysis of PDEs · Mathematics 2024-01-22 Marco Di Francesco , Valeria Iorio , Markus Schmidtchen