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We study the properties of electromagnetic Bloch waves in semi-infinite periodic structures created by alternating metamaterial and dielectric layers. We derive and analyze the dispersion relations in the long-wavelength limit for both TE-…

Optics · Physics 2009-12-16 Slobodan M. Vukovic , Ilya V. Shadrivov , Yuri S. Kivshar

In this paper we are using formal analogy of electromagnetic wave equation and Schrodinger equation in order to study the phenomenon of perfect tunneling (tunneling with unitary transmittance) in 1D semiconductor heterostructure. Using the…

Other Condensed Matter · Physics 2014-09-10 L. Jelinek , J. D. Baena , J. Voves , R. Marques

We investigate experimentally and theoretically the nonlinear propagation of 87Rb Bose Einstein condensates in a trap with cylindrical symmetry. An additional weak periodic potential which encloses an angle with the symmetry axis of the…

Condensed Matter · Physics 2009-11-10 Th. Anker , M. Albiez , B. Eiermann , M. Taglieber , M. K. Oberthaler

In this paper we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localised modes in such a setting. A crucial assumption in this paper is time-modulated material parameters.…

Analysis of PDEs · Mathematics 2025-01-13 Habib Ammari , Erik Orvehed Hiltunen , Liora Rueff

In this paper, wave propagation in structured media with quasiperiodic patterns is investigated. We propose a methodology based on Sturmian sequences for the generation of structured mechanical systems from a given parameter. The approach…

Mathematical Physics · Physics 2026-01-16 Mario Lázaro , Agnieszka Niemczynowicz , Artur Siemaszko , Luis M. García-Raffi

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

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

We investigate the storage and retrieval of electromagnetic waves using a nonlinear metamaterial, analogous to the electromagnetically induced transparency (EIT) observed in atomic systems. We experimentally demonstrate the storage of the…

Applied Physics · Physics 2018-08-21 Toshihiro Nakanishi , Masao Kitano

A new formalism for electromagnetic and mechanical momenta in a metamaterial is developed by means of the technique of wave-packet integrals. The medium has huge mass density and can therefore be regarded as almost stationary upon incident…

Optics · Physics 2011-03-22 Yingran He , Jianqi Shen , Sailing He

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

Metamaterials represent one of the most vibrant fields of modern science and technology. They are generally dispersive structures in the direct and reciprocal space and time domains. Upon this consideration, I overview here a number of…

Optics · Physics 2016-02-16 Christophe Caloz

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

Wave propagation control is of fundamental interest in many areas of Physics. It can be achieved with wavelength-scaled photonic crystals, hence avoiding low frequency applications. By contrast, metamaterials are structured on a…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Simon Yves , Thomas Berthelot , Geoffroy Lerosey , Fabrice Lemoult

The time evolution of electron waves in graphene superlattices is studied using both microscopic and 'effective medium' formalisms. The numerical simulations reveal that in a wide range of physical scenarios it is possible to neglect the…

Mesoscale and Nanoscale Physics · Physics 2022-01-03 David E. Fernandes , Manuel Rodrigues , Gabriel Falcão , Mário G. Silveirinha

We study the behavior of wave propagation in materials for which not all of the principle elements of the permeability and permittivity tensors have the same sign. We find that a wide variety of effects can be realized in such media,…

Materials Science · Physics 2009-11-07 D. R. Smith , D. Schurig

A procedure to obtain single-electron wavefunctions within the tight-binding formalism is proposed. It is based on linear combinations of Slater-type orbitals whose screening coefficients are extracted from the optical matrix elements of…

Materials Science · Physics 2016-09-16 R. Benchamekh , F. Raouafi , J. Even , F. Ben Cheikh Larbi , P. Voisin , J. -M. Jancu

We present experimental and numerical studies of localized terahertz surface waves on a subwavelength-thick metamaterial film consisting of in-plane split-ring resonators. A simple and intuitive model is derived that describes the…

Optics · Physics 2010-10-06 Benjamin Reinhard , Oliver Paul , Rene Beigang , Marco Rahm

In this work we (i) extend previous 1D studies of electromagnetic (EM) wave propagation in an over-dense plasma-metamaterial composite into two spatial dimensions and (ii) study blocking of EM waves by the composite 2D structures…

Plasma Physics · Physics 2025-08-18 D. Tsiklauri , I. Morrison

We introduce the idea that the electronic band structure of a charge density wave system may mimic the electronic structure of graphene. In that case a class of materials quite different from graphene might be opened up to exploit…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 John M. Vail , Oscar J. Hernandez , Ming-Su Si , Zhoufei Wang

We describe novel physics of nonlinear magnetoinductive waves in left-handed composite metamaterials. We derive the coupled equations for describing the propagation of magnetoinductive waves, and show that in the nonlinear regime the…

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