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Spatial filtering of optical fields has widespread applications ranging from beam shaping to optical information processing. However, conventional spatial filters are bulky and alignment-sensitive. Here, we present nonlocal non-Hermitian…

Optics · Physics 2025-08-04 Biao Chen , Mikael Reichler , Radoslaw Kolkowski , Andriy Shevchenko

Non-reciprocal transmission of motion is potentially highly beneficial to a wide range of applications, ranging from wave guiding, to shock and vibration damping and energy harvesting. To date, large levels of non-reciprocity have been…

Applied Physics · Physics 2019-10-23 Martin Brandenbourger , Xander Locsin , Edan Lerner , Corentin Coulais

Nonlocal models provide accurate representations of physical phenomena ranging from fracture mechanics to complex subsurface flows, where traditional partial differential equations fail to capture effects caused by long-range forces at the…

Analysis of PDEs · Mathematics 2020-05-11 Giacomo Capodaglio , Marta D'Elia , Pavel Bochev , Max Gunzburger

We demonstrate theoretically that electromagnetically induced transparency can be achieved in metamaterials, in which electromagnetic radiation is interacting resonantly with mesoscopic oscillators rather than with atoms. We describe novel…

Materials Science · Physics 2010-01-30 Ph. Tassin , Lei Zhang , Th. Koschny , E. N. Economou , C. M. Soukoulis

We investigate the influence of fractal structure on material properties. We calculate the statistical correlation functions of fractal media defined by level-cut Gaussian random fields. This allows the modeling of both surface fractal and…

Materials Science · Physics 2009-10-31 Anthony Roberts , Mark Knackstedt

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

Materials Science · Physics 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

In electromagnetics and photonics, "nonlocality" refers to the phenomenon by which the response/output of a material or system at a certain point in space depends on the input field across an extended region of space. While nonlocal effects…

Optics · Physics 2023-02-01 Kunal Shastri , Francesco Monticone

Within a decade of fruitful developments, metamaterials became a prominent area of research, bridging theoretical and applied electrodynamics, electrical engineering and material science. Being man-made structures, metamaterials offer a…

Metamaterials are artificially engineered structures that manipulate electromagnetic waves, having optical properties absent in natural materials. Recently, machine learning for the inverse design of metamaterials has drawn attention.…

Hyperbolic propagation offers exciting opportunities in nanophotonics, from sub-diffraction imaging to enhanced local density of states. This transport regime is typically induced by strong modulation of conductivity, i.e., with alternating…

Optics · Physics 2019-01-16 Yarden Mazor , Andrea Alù

This paper investigates the propagation characteristics of circular waveguides whose interior surface is coated with a thin metamaterial liner possessing dispersive, negative, and near-zero permittivity. A field analysis of this system…

Optics · Physics 2014-05-13 Justin G. Pollock , Ashwin K. Iyer

In this paper, the effect of weak nonlinearities in 1D locally resonant metamaterials is investigated via the method of multiple scales. Commonly employed to the investigate the effect of weakly nonlinear interactions on the free wave…

Applied Physics · Physics 2018-12-17 P. B. Silva , M. J. Leamy , M. G. D. Geers , V. G. Kouznetsova

We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors…

Chemical Physics · Physics 2010-12-27 Oleg A. Vydrov , Troy Van Voorhis

Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations…

Analysis of PDEs · Mathematics 2023-06-13 Marie Doumic , Sophie Hecht , Benoit Perthame , Diane Peurichard

Metamaterials are artificially engineered devices that go beyond the properties of conventional materials in nature. Metamaterials allow the creation of negative refractive indexes, light trapping with epsilon-near-zero compounds, bandgap…

Optics · Physics 2022-02-01 Antonio Alex-Amor , Angel Palomares-Caballero , Carlos Molero

We discuss electromagnetic modes in cavities formed by metamaterials with negative refraction and demonstrate that the straightforward approach to substitute negative values of the electric permittivity and the magnetic permeability leads…

Magnetic metamaterials consist of magnetic resonators smaller in size than their excitation wavelengths. Their unique electromagnetic properties were characterized by the effective media theory at the early stage. However, the effective…

Optics · Physics 2015-05-13 H. Liu , Y. M. Liu , T. Li , S. M. Wang , S. N. Zhu , X. Zhang

A key starting assumption in many classical interatomic potential models for materials is a site energy decomposition of the potential energy surface into contributions that only depend on a small neighbourhood. Under a natural stability…

Mathematical Physics · Physics 2020-09-10 Jack Thomas

The electromagnetic response of materials serves as the foundation for a broad range of vital applications, including but not limited to imaging, sensing, as well as classical and quantum communications. Here we demonstrate, theoretically…

We study metamaterials known as hyperbolic media that in the usual local-response approximation exhibit hyperbolic dispersion and an associated broadband singularity in the density of states. Instead, from the more microscopic hydrodynamic…

Optics · Physics 2012-11-28 Wei Yan , Martijn Wubs , N. Asger Mortensen