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We present a consistent theoretical approach for calculating effective nonlinear susceptibilities of metamaterials taking into account both frequency and spatial dispersion. Employing the discrete dipole model, we demonstrate that effects…

We consider a semi-infinite spatially dispersive dielectric with unequal transverse and longitudinal susceptibilities. The effect of the boundary is characterized by arbitrary reflection coefficients for polarization waves in the material…

Optics · Physics 2017-01-09 R. J. Churchill , T. G. Philbin

We consider the interaction between a particle beam and a propagating electromagnetic wave in the presence of a metamaterial. We show that the introduction of a metamaterial gives rise to a novel dispersion curve which determines a unique…

Optics · Physics 2014-11-20 Y. S. Tan , R. Seviour

Although optical metamaterials that show artificial magnetism are mesoscopic systems, they are frequently described in terms of effective material parameters. But due to intrinsic nonlocal (or spatially dispersive) effects it may be…

Temporal metamaterials are artificially manufactured materials with time-dependent material properties that exhibit interesting phenomena when waves propagate through them. The propagation of electromagnetic waves in such time-varying…

Analysis of PDEs · Mathematics 2026-03-23 Christian Döding , Barbara Verfürth

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

Geometrical optics describes, with good accuracy, the propagation of high-frequency plane waves through an electromagnetic medium. Under such approximation, the behaviour of the electromagnetic fields is characterised by just three…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Alberto Favaro , Friedrich W. Hehl

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

Optics · Physics 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen

We investigate the reflection and refraction behaviors of electromagnetic waves at the interface between an isotropic material and the anisotropic medium with a unique dispersion relation. We show that the refraction angle of whether phase…

Optics · Physics 2009-11-11 Weixing Shu , Hailu Luo , Fei Li , Zhongzhou Ren

We propose a general and complete classification of all possible new and old kinds of surface plasmon waves that can propagate at boundaries of arbitrary linear, local bi-anisotropic media, including the quartic metamaterials. For arbitrary…

Optics · Physics 2018-06-05 Maxim Durach

We experimentally demonstrate at terahertz frequencies that a planar metamaterial exhibits a spectral response resembling electromagnetically induced transparency. The metamaterial unit cell consists of a split ring surrounded by another…

This work presents a multiple scattering formulation of two dimensional acoustic metamaterials. It is shown that in the low frequency limit multiple scattering allows us to define frequency-dependent effective acoustic parameters for arrays…

Materials Science · Physics 2015-05-28 Daniel Torrent , José Sánchez-Dehesa

We consider the electromagnetic waves propagating in the system of coupled waveguides. One of the system components is a standard waveguide fabricated from nonlinear medium having positive refraction and another component is a waveguide…

Pattern Formation and Solitons · Physics 2015-05-13 Elena V. Kazantseva , Andrei I. Maimistov , Sergei S. Ozhenko

The nonreciprocal magnetoelectric effect, also known as the Tellegen effect, promises a number of groundbreaking phenomena connected to fundamental (e.g., electrodynamics of axion and relativistic matter) and applied physics (e.g.,…

In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained…

Applied Physics · Physics 2022-01-31 Danilo Beli , Matheus Inguaggiato Nora Rosa , Carlos De Marqui , Massimo Ruzzene

Research on photonics and metamaterials constantly challenges our intuitive understanding of the behaviour of light. In recent years we have seen negative refraction, focusing of light by a flat slab, a ``perfect'' prism, and an…

Optics · Physics 2008-05-07 Neil V. Budko , Shreyas B. Raghunathan

Metamaterials are composed of periodic subwavelength metal/dielectric structures that resonantly couple to the electric and/or magnetic components of the incident electromagnetic fields, exhibiting properties that are not found in nature.…

Optics · Physics 2016-11-29 Hou-Tong Chen , Antoinette J Taylor , Nanfang Yu

We analyze the transmission and reflection of the electromagnetic wave calculated from transfer matrix simulations of periodic arrangements of thin metallic wires. The effective permittivity and the absorption is determined. Their…

Materials Science · Physics 2009-11-07 P. Markos , C. M. Soukoulis

The extraordinary properties of resonant four-wave mixing of backward waves in doped negative-index materials are investigated. The feasibility of independent engineering of negative refractive index and nonlinear optical response as well…

A method is described for the determination of the effective electromagnetic parameters of a metamaterial based only on external measurements or simulations, taking boundary effects at the interfaces between a conventional material and…

Classical Physics · Physics 2015-05-20 Sung Kim , Edward F. Kuester , Christopher L. Holloway , Aaron D. Scher , James Baker-Jarvis
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