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We derive a non-linear sigma-model for the transport of light (classical waves) through a disordered medium. We compare this extension of the model with the well-established non-linear sigma-model for the transport of electrons…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Elattari , V. Kagalovsky , H. A. Weidenmueller

The wave propagation of edge modes in a superlattice of 2D electron Gases in quantum Hall regime is investigated. After introducing surfaces charge and current densities at the edge, the Maxwell equations are solved for waves running along…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Pavel Fileviez Perez , Alejandro Cabo Montes de Oca , Carlos Rodriguez Castellanos

Parametric amplification -- injecting energy into waves via periodic modulation of system parameters -- is typically restricted to specific multiples of the modulation frequency. However, broadband parametric amplification can be achieved…

Soft Condensed Matter · Physics 2023-08-01 Noah Kruss , Jayson Paulose

A recent study [Rosati, Dolcini, and Rossi, Appl. Phys. Lett. 106, 243101 (2015)] has predicted that, while in semiconducting single-walled carbon nanotubes (SWNTs) an electronic wave packet experiences the typical spatial diffusion of…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 R. Rosati , F. Dolcini , F. Rossi

We calculate the transverse effective charges of zincblende compound semiconductors using Harrison's tight-binding model to describe the electronic structure. Our results, which are essentially exact within the model, are found to be in…

mtrl-th · Physics 2009-10-30 J. Bennetto , David Vanderbilt

We study nonlinear dispersive wave systems described by hyperbolic PDE's in R^{d} and difference equations on the lattice Z^{d}. The systems involve two small parameters: one is the ratio of the slow and the fast time scales, and another…

Analysis of PDEs · Mathematics 2009-11-11 A. Babin , A. Figotin

Nanostructures with one-dimensional periodicity, such as multilayered structures, are currently in the focus of active research in the context of hyperbolic metamaterials and photonic topological structures. An efficient way to describe the…

Optics · Physics 2020-02-26 Maxim A. Gorlach , Mikhail Lapine

By designing tailor-made resonance modes with structured atoms, metamaterials allow us to obtain constitutive parameters outside their limited range from natural or composite materials. Nonetheless, tuning the constitutive parameters relies…

Applied Physics · Physics 2021-06-29 Choonlae Cho , Xinhua Wen , Namkyoo Park , Jensen Li

We propose a fundamentally new method for the design of metamaterial arrays, valid for any waves modeled by the Helmholtz equation, including scalar optics and acoustics. The design and analysis of these devices is based on eigenvalue and…

We investigate a composite elastic meta-slab with exceptional transmission properties, particularly the presence of a W-shaped bandgap. A comprehensive study, utilizing experimental measurements, the finite element method, and an analytical…

Optics · Physics 2025-03-31 B. Lemkalli , K. K. Dudek , M. Kadic , Q. Ji , S. Guenneau , A. Mir , Y. Achaoui

In this work, we investigate wave transmission through an epsilon-near-zero metamaterial waveguide embedded with defects. We show that by adjusting the geometric sizes and material properties of the defects, total reflection and even…

Optics · Physics 2011-05-10 Yadong Xu , Huanyang Chen

This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we establish the modal expansion for the time-dependent field…

Analysis of PDEs · Mathematics 2022-04-12 Bochao Chen , Yixian Gao , Hongyu Liu

We derive the energy density associated with an electromagnetic wave passing through a hyperbolic metamaterial (HMM). Both types of HMMs are studied. By considering a dispersive and absorbing HMM as an effective uniaxial crystal, we find…

Optics · Physics 2022-03-08 Afshin Moradi , Pi-Gang Luan

We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation of waves is described by the Helmholtz equation with the…

Mathematical Physics · Physics 2019-05-30 Yuri A. Godin , Boris Vainberg

We represent a new microscopic approach that allows studying the propagation properties of microwaves in a Bose-Einstein condensate of alkali atoms. It is assumed that the frequency of signal is tuned up to the transition between hyperfine…

Statistical Mechanics · Physics 2007-06-25 Yuriy V. Slyusarenko , Andrey G. Sotnikov

Nonlinear wave propagation in large extra spatial dimensions (on and above $d=2$) is investigated in the context of nonlinear electrodynamics theories that depend exclusively on the invariant…

High Energy Physics - Theory · Physics 2024-08-20 I. Soares , R. Turcati , S. B. Duarte

We have fabricated a quarter-wave plate from a single layer birefringent metamaterial. For comparison, an appropriately scaled double layer meanderline structure was fabricated. At the design frequency of 639 GHz, the metamaterial structure…

We develop a dynamic description of an effective Dirac theory in metamaterials, in which the wavefunction is modeled by the corresponding electric and magnetic field in the metamaterial. This electro-magnetic field can be probed in the…

Quantum Physics · Physics 2015-11-10 Sven Ahrens , Jun Jiang , Yong Sun , Shi-Yao Zhu

Electromagnetic pulse propagation in a quantum metamaterial - artificial, globally quantum coherent optical medium - is numerically simulated. We show that for the quantum metamaterials based on superconducting quantum bits, initialized in…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Hidehiro Asai , Sergey Savel'ev , Shiro Kawabata , Alexandre Zagoskin

We develop a general formalism to describe the propagation of a near-resonant electromagnetic field in a medium composed of magnetodielectric resonators. As the size and the spatial separation of nanofabricated resonators in a metamaterial…

Optics · Physics 2012-08-24 Stewart D. Jenkins , Janne Ruostekoski