English
Related papers

Related papers: Dynamic Effective Medium Theory for Two-Dimensiona…

200 papers

Interlayer coupling in two-dimensional (2D) layered nanomaterials can provide us novel strategies to evoke their superior properties, such as the exotic flat bands and unconventional superconductivity of twisted layers, the formation of…

We present an analytical model which permits the calculation of effective material parameters for planar metamaterials consisting of arbitrary unit cells (metaatoms) formed by a set of straight wire sections of potentially different shape.…

Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively hop on a discrete tessellation of 2D hyperbolic space, a non-Euclidean space of uniform negative curvature. To describe the single-particle…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Joseph Maciejko , Steven Rayan

We consider stationary and propagating solutions for a Bose-Einstein condensate in a periodic optical potential with an additional confining optical or magnetic potential. Using an effective mass approximation we express the condensate…

Condensed Matter · Physics 2007-05-23 M. J. Steel , Weiping Zhang

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

In this article, we study the plasmonic resonance of infinite photonic crystal mounted by the double negative nanoparticles in two dimensions. The corresponding physical model is described by the Helmholz equation with so called Bloch wave…

Mathematical Physics · Physics 2017-04-13 Guang-Hui Zheng

In this paper we consider an abstract Cauchy problem for a Maxwell system modelling electromagnetic fields in the presence of an interface between optical media. The electric polarization is in general time-delayed and nonlinear, turning…

Analysis of PDEs · Mathematics 2023-11-21 Tomáš Dohnal , Mathias Ionescu-Tira , Marcus Waurick

The motive of this work is to understand the complex spatial characteristics of finite-amplitude elastic wave propagation in periodic structures and leverage the unique opportunities offered by nonlinearity to activate complementary…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

We propose an executable scheme to mimic the expanding cosmos in 1+2 dimensions in laboratory. Furthermore, we develop a general procedure to use nonlinear metamaterials to mimic D-brane and noncommutativity in string theory.

Optics · Physics 2011-03-04 Rong-Xin Miao , Rui Zheng , Miao Li

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

The mobility edge (ME) that marks the energy separating extended and localized states is a central concept in understanding the metal-insulator transition induced by disordered or quasiperiodic potentials. MEs have been extensively studied…

Disordered Systems and Neural Networks · Physics 2023-04-25 Yucheng Wang , Long Zhang , Yuhao Wan , Yu He , Yongjian Wang

The existence of multidimensional lattice compactons in the discrete nonlinear Schr\"odinger equation in the presence of fast periodic time modulations of the nonlinearity is demonstrated. By averaging over the period of the fast…

Pattern Formation and Solitons · Physics 2016-05-03 J. D'Ambroise , M. Salerno , P. G. Kevrekidis , F. Kh. Abdullaev

Two-dimensional lattices of chiral nanoholes in a plasmonic film with lattice constants being slightly larger than light wavelength are proposed for effective control of polarization and spatial properties of light beams. Effective…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 V. V. Klimov , I. V. Zabkov , A. A. Pavlov , R. -C. Shiu , H. -C. Chan , G. Y. Guo

We demonstrate that the spatial profiles of both propagating and evanescent Bloch-modes in a periodic structure can be extracted from a single measurement of electric field at the specified optical wavelength. We develop a systematic…

Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from nanoscale physics, that dictates their stable…

Analysis of PDEs · Mathematics 2025-09-23 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

Non-radiative coupling between conductive coils is a candidate mechanism for wireless energy transfer applications. In this paper, we propose a power relay system based on a near-field metamaterial superlens, and present a thorough…

Classical Physics · Physics 2011-07-25 Yaroslav Urzhumov , David R. Smith

Synthetic photonic lattice with temporally controlled potentials is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensionally synthetic photonic…

Optics · Physics 2020-10-28 Zengrun Wen , Kaile Wang , Baole Lu , Xinyuan Qi , Haowei Chen , Jintao Bai

We apply the method of slowly-varying amplitudes of the electrical and magnet fields to integro-differential system of nonlinear Maxwell equations. The equations are reduced to system of differential Nonlinear Maxwell amplitude Equations…

Pattern Formation and Solitons · Physics 2007-05-23 Lubomir M. Kovachev

We derive effective, parsimonious models from a heterogeneous second-gradient nonlinear elastic material taking into account chiral scale-size effects. Our classification of the effective equations depends on the hierarchy of four…

Analysis of PDEs · Mathematics 2023-10-10 Grigor Nika , Adrian Muntean

Rapid advances in additive manufacturing over the past decade have kindled widespread interest in the rational design of metamaterials with unique properties. However, many applications require multi-physics metamaterials, where multiple…

Materials Science · Physics 2021-02-10 Sebastien J. P. Callens , Christoph H. Arns , Alina Kuliesh , Amir A. Zadpoor