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In this paper we introduce a generalized concept of field-transforming metamaterials, which perform field transformations defined as linear relations between the original and transformed fields. These artificial media change the fields in a…

Optics · Physics 2009-11-13 Sergei Tretyakov , Igor Nefedov , Pekka Alitalo

Metamaterials offer a powerful way to manipulate a variety of physical fields ranging from wave fields (electromagnetic field, acoustic field, elastic wave, etc.), static fields (static magnetic field, static electric field) to diffusive…

Optics · Physics 2016-11-03 Chuwen Lan , Bo Li , Ji Zhou

Electromagnetic materials with a uniaxial effective permittivity tensor, characterized by its transverse ($\epsilon_\perp$) and axial ($\epsilon_\parallel$) components, play a central role in the design of advanced photonic and…

Optics · Physics 2025-07-15 Kshiteej J. Deshmukh , Graeme W. Milton

An analytical theory is developed for parametric interactions in metamaterial multilayer structures with simultaneous nonlinear electronic and magnetic responses and with near-zero refractive-index. We demonstrate theoretically that…

Materials Science · Physics 2008-04-01 Simin Feng , Klaus Halterman

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

Optics · Physics 2012-08-20 Ulrich Brosa

This paper shows that customised broadband absorption of electromagnetic waves having arbitrary polarisation is possible by use of lossy cut-wire (CW) metamaterials. These useful features are confirmed by numerical simulations in which…

Hyperbolic materials are artificially engineered composite media which allow innovative optical properties that could lead to significant advances in numerous breakthrough technologies. However, these properties are conventionally studied…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Maria Tschikin , Svend-Age Biehs , Riccardo Messina , Philippe Ben-Abdallah

Light propagation in all-dielectric rod-type metamaterials is studied theoretically. The electric and magnetic dipole moments of the rods are derived analytically in the long-wavelength limit. The effective permittivity and permeability of…

Optics · Physics 2009-11-13 K. Vynck , D. Felbacq , E. Centeno , A. I. Cabuz , D. Cassagne , B. Guizal

The fluid theory of plasmas is extended to include the properties of electron spin. The linear theory of waves in a magnetized plasma is presented, and it is shown that the spin effects causes a change of the magnetic permeability.…

Plasma Physics · Physics 2009-11-13 G. Brodin , M. Marklund

We study the sense in which the continuum limit of a broad class of discrete materials with periodic structures can be viewed as a nonlinear elastic material. While we are not the first to consider this question, our treatment is more…

Mathematical Physics · Physics 2025-10-31 Xuenan Li , Robert V. Kohn

We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials. Two typical examples for such metamaterials are materials…

Mathematical Physics · Physics 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

We present an effective medium theory that can predict the effective permittivity and permeability of a geometrically anisotropic two-dimensional metamaterial composed with a rectangular array of elliptical cylinders. It is possible to…

Optics · Physics 2016-11-10 Xiujuan Zhang , Ying Wu

We formulate an effective medium (mean field) theory of a material consisting of randomly distributed nodes connected by straight slender rods, hinged at the nodes. Defining novel wavelength-dependent effective elastic moduli, we calculate…

Soft Condensed Matter · Physics 2015-06-05 J. I. Katz , J. J. Hoffman , M. S. Conradi , J. G. Miller

We theoretically demonstrate a non-hermitian metamaterial exhibiting broadband and wide-angle nonreciprocity. The metamaterial consists of planar metal-dielectric layers with a Parity-Time (PT) symmetric distrubtion of loss and gain. With…

Optics · Physics 2018-02-07 David Barton , Mark Lawrence , Hadiseh Alaeian , Jennifer Dionne

We present a new type of electromagnetic planar metamaterial that exhibit strong dispersion at a local minimum of losses and is believed to be the first metamaterial analog of electromagnetically induced transparency. We demonstrate that…

Optics · Physics 2010-09-03 N. Papasimakis , V. A. Fedotov , S. L. Prosvirnin , N. I. Zheludev

Magnetoelectric susceptibility of a metamaterial built from split ring resonators have been investigated both experimentally and within an equivalent circuit model. The absolute values have been shown to exceed by two orders of magnitude…

Materials Science · Physics 2011-03-03 A. M. Shuvaev , S. Engelbrecht , M. Wunderlich , A. Schneider , A. Pimenov

Volumes of sub-wavelength electromagnetic elements can act like homogeneous materials: metamaterials. In analogy, sheets of optical elements such as prisms can act ray-optically like homogeneous sheet materials. In this sense, such sheets…

Optics · Physics 2009-01-27 Alasdair C. Hamilton , Johannes Courtial

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We consider a two-dimensional periodic structure created by arrays of wires and split-ring resonators embedded…

Materials Science · Physics 2007-05-23 Alexander A. Zharov , Ilya V. Shadrivov , Yuri S. Kivshar

We develop a dynamical effective medium theory to accurately predict the unusual properties of elastic metamaterials in two dimensions near the resonant frequencies. The theory shows that the effective bulk modulus, shear modulus, and mass…

Materials Science · Physics 2007-07-10 Ying Wu , Yun Lai , Zhao-Qing Zhang

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows…

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