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Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only two local geometrical features of these wavefronts. We…

Analysis of PDEs · Mathematics 2020-02-26 Victor A. Vassiliev

We reveal extraordinary electromagnetic properties for a general class of uniaxially polarizable media. Depending on parameters, such metamaterials may have wide range of nontrivial shapes of isofrequency contours including lemniscate,…

Optics · Physics 2015-08-12 Maxim A. Gorlach , Pavel A. Belov

We investigate effects of nonlocality in time of the interaction of an atom with its surroundings on the spectral line broadening. We show that these effects can be very significant: In some cases nonlocality in time of this interaction can…

Quantum Physics · Physics 2009-11-07 Renat Kh. Gainutdinov , Aigul A. Mutygullina , Werner Scheid

We present theoretical and experimental studies of the optical response of L-shaped silver nanoparticles. The scattering spectrum exhibits several plasmon resonances that depend sensitively on the polarization of the incident…

Optics · Physics 2007-11-14 Maxim Sukharev , Jiha Sung , Kenneth G. Spears , Tamar Seideman

In order to investigate the size limit on spatial localized structures in a nonlinear system, we explore the impact of linear nonlocality on their domains of existence and stability. Our system of choice is an optical microresonator…

Pattern Formation and Solitons · Physics 2010-02-04 L. Gelens , G. Van der Sande , P. Tassin , M. Tlidi , P. Kockaert , D. Gomila , I. Veretennicoff , J. Danckaert

Properties of plasmonic materials are associated with surface plasmons - the electromagnetic excitations coupled to coherent electron charge density oscillations on a metal/dielectric interface. Although decay of such oscillations cannot be…

Optics · Physics 2021-05-27 Krystyna Kolwas

The role that non-local short-range correlation plays at metal surfaces is investigated by analyzing the correlation surface energy into contributions from dynamical density fluctuations of various two-dimensional wave vectors. Although…

Materials Science · Physics 2009-11-07 J. M. Pitarke , J. P. Perdew

Aluminum nanostructures have recently been at the focus of numerous studies due to their properties including oxidation stability and surface plasmon resonances covering the ultraviolet and visible spectral windows. In this article, we…

Classical electrodynamics describes the optical response of systems using bulk electronic properties and infinitesimally thin boundaries. However, due to the quantum nature of electrons, interfaces have a finite thickness. Non-classical…

In plasmonics, nonlocal effects arise when the material response to optical excitations is strongly dependent on the spatial correlations of the excitation. It is well known that a classical free electron gas system supports local Drude…

We explore the collective electromagnetic response in atomic clusters of various sizes and geometries. Our aim is to understand, and hence to control, their dielectric response, based on a fully quantum-mechanical description which captures…

Strongly Correlated Electrons · Physics 2013-12-19 Rodrigo A. Muniz , Stephan Haas , A. F. J. Levi , Ilya Grigorenko

We introduce non-Hermitian plasmonic waveguide-cavity systems with topological edge states (TESs) at singular points. The compound unit cells of the structures consist of metal-dielectric-metal (MDM) stub resonators side-coupled to an MDM…

Optics · Physics 2021-10-12 Yin Huang , Yuecheng Shen , Georgios Veronis

We develop a quantum-mechanical theory for Landau damping of surface plasmons in metal nanostructures larger that the characteristic length for nonlocal effects. We show that the electron surface scattering, which facilitates plasmon decay…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Tigran V. Shahbazyan

Landau Damping (LD) mechanism of the Localized Surface Plasmon (LSP) decay is studied for the hybrid nanoplasmonic (metal core/dielectric shell) structures. It is shown that LD in hybrid structures is strongly affected by permittivity and…

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

Local positional disorder in soft, anharmonic materials has emerged as a central factor in shaping their electronic, vibrational, optical, and transport properties. Viewed mainly as a source of performance degradation, recent theoretical…

Materials Science · Physics 2025-10-24 Marios Zacharias , Jacky Even

We demonstrate that the elasticity of jammed solids is nonlocal. By forcing frictionless soft sphere packings at varying wavelength, we directly access their transverse and longitudinal compliances without resorting to curve fitting. The…

Statistical Mechanics · Physics 2017-03-08 Karsten Baumgarten , Daniel Vagberg , Brian P. Tighe

Unidirectional modes in magnetically biased electromagnetic systems have long been associated with a thermodynamic paradox: the absence of counter-propagating channels may produce field "hotspots" that can act as unphysical sinks of thermal…

Optics · Physics 2025-11-19 Mario G. Silveirinha

The spatial inhomogeneities are expected to affect nucleation process in an essential way. These effects are studied theoretically by considering the case of the depinning of the charge density wave as a typical example. The threshold field…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masanori Yumoto , Hidetoshi Fukuyama , Hiroshi Matsukawa

The self-interaction force of dislocation curves in metals depends on the local arrangement of the atoms and on the nonlocal interaction between dislocation curve segments. While these nonlocal segment-segment interactions can be accurately…

Analysis of PDEs · Mathematics 2021-08-24 Patrick van Meurs