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We present an analytical description of the nonlocal optical response of plasmonic nanowire metamaterials that enable negative refraction, subwavelength light manipulation, and emission lifetime engineering. We show that dispersion of…

Optics · Physics 2014-01-13 Brian M. Wells , Anatoly V. Zayats , Viktor A. Podolskiy

Geometrical singularities in plasmonic metasurfaces have recently been proposed for the enhancement of light-matter interactions, owing to their broadband light-harvesting properties and extreme plasmon confinement. However, the large…

Mesoscale and Nanoscale Physics · Physics 2020-03-03 Fan Yang , Emanuele Galiffi , Paloma Arroyo Huidobro , John Pendry

The idea of the modal expansion in electromagnetics is derived from the research on electromagnetic resonators, which play an essential role in developments in nanophotonics. All of the electromagnetic resonators share a common property:…

Optics · Physics 2020-10-28 Minh Duy Truong

Sub-wavelength confinement of mid-infrared light can be achieved exploiting the metal-like optical response of polar dielectric crystals in their Reststrahlen spectral region, where they support evanescent modes termed surface phonon…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Christopher R. Gubbin , Simone De Liberato

Contrary to classical predictions, the optical response of few-nm plasmonic particles depends on particle size due to effects such as nonlocality and electron spill-out. Ensembles of such nanoparticles (NPs) are therefore expected to…

Mesoscale and Nanoscale Physics · Physics 2016-06-17 Christos Tserkezis , Johan R. Maack , Zhaowei Liu , Martijn Wubs , N. Asger Mortensen

Optical resonators are widely used in modern photonics. Their spectral response and temporal dynamics are fundamentally driven by their natural resonances, the so-called quasinormal modes (QNMs), with complex frequencies. For optical…

We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system with complex frequencies. For many problems of…

We present analytical expressions for the resonance frequencies of the plasmonic modes hosted in a cylindrical nanoparticle within the quasistatic approximation. Our theoretical model gives us access to both the longitudinally and…

Mesoscale and Nanoscale Physics · Physics 2021-01-29 Charles A. Downing , Guillaume Weick

Open phononic systems including resonators radiating inside an unbounded medium support localized phonons characterized by a complex frequency. In this context, the concept of elastic quasinormal mode (QNM) arises naturally, as in the cases…

Classical Physics · Physics 2023-04-06 Vincent Laude , Yan-Feng Wang

We present a novel wave equation for linearized plasmonic response, obtained by combining the coupled real-space differential equations for the electric field and current density. Nonlocal dynamics are fully accounted for, and the…

We present a hydrodynamic model, grounded in Madelung's formalism, to describe collective electronic motion in anisotropic materials. This model incorporates nonlocal contributions from the Thomas-Fermi quantum pressure and quantum effects…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 A. J. Chaves , Line Jelver , D. R. da Costa , Joel D. Cox , N. Asger Mortensen , Nuno M. R. Peres

We develop an approximate quasi-static theory describing the low-frequency plasmonic resonances of slender nanometallic rings and configurations thereof. First, we use asymptotic arguments to reduce the plasmonic eigenvalue problem…

Optics · Physics 2022-03-23 Matias Ruiz , Ory Schnitzer

Micro- and nanoresonators, which enable light trapping in small volumes for extended durations, play a crucial role in modern photonics. The optical response of these resonators is determined by their fundamental resonances, known as…

Optics · Physics 2024-08-27 Tong Wu , Philippe Lalanne

Based on quasinormal-mode theory, we propose a novel approach enabling a deep analytical insight into the multi-parameter design and optimization of nonlinear photonic structures at subwavelength scale. A key distinction of our method from…

Cavity mode theory and analysis of open cavities and plasmonic particles is an essential component of optical resonator physics, offering considerable insight and efficiency for connecting to classical and quantum optical properties such as…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Mohsen Kamandar Dezfouli , Stephen Hughes

In this Review, the theory and applications of optical micro and nanoresonators are presented from the underlying concept of their natural resonances, the so-called quasi-normal modes (QNMs). The latter are the basic constituents governing…

A combined analytical and numerical study of the modes in two distinct plasmonic nanowire systems is presented. The computations are based on a Discontinuous Galerkin Time-Domain approach and a fully nonlinear and nonlocal hydrodynamic…

Optics · Physics 2018-02-26 M. Moeferdt , T. Kiel , T. Sproll , F. Intravaia , K. Busch

The specificity of modal-expansion formalisms is their capabilities to model the physical properties in the natural resonance-state basis of the system in question, leading to a transparent interpretation of the numerical results. In…

Optics · Physics 2018-09-06 Wei Yan , Rémi Faggiani , Philippe Lalanne

It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In this work, the inverse problem, i.e., the…

Optics · Physics 2017-06-14 Filippo Alpeggiani , Nikhil Parappurath , Ewold Verhagen , L. Kuipers

We provide a self-consistent electromagnetic theory of the coupling between dipole emitters and dissipative nanoresonators. The theory that relies on the concept of quasi-normal modes with complex frequencies provides an accurate…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 C. Sauvan , J. P. Hugonin , I. S. Maksymov , P. Lalanne