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In the past two decades, artificial structures known as metamaterials have been found to exhibit extraordinary material properties that enable the unprecedented manipulation of electromagnetic waves, elastic waves, molecules, and particles.…

Applied Physics · Physics 2022-11-08 Jade E. Holliman , H. Todd Schaef , B. Peter McGrail , Quin R. S. Miller

Internal physical structure can drastically modify the properties of waveguides: photonic crystal fibers are able to confine light inside a hollow air core by Bragg scattering from a periodic array of holes, while metamaterial loaded…

Floppy modes --- deformations that cost zero energy --- are central to the mechanics of a wide class of systems. For disordered systems, such as random networks and particle packings, it is well-understood how the number of floppy modes is…

Soft Condensed Matter · Physics 2019-08-28 Luuk A. Lubbers , Martin van Hecke

Rotationally resonant metamaterials are leveraged to answer a longstanding question regarding the existence of transformation-invariant elastic materials and the ad-hoc possibility of transformationbased passive cloaking in full plane…

Applied Physics · Physics 2020-03-04 H. Nassar , Y. Y. Chen , G. L. Huang

The energy spectrum of the extended attractive potential of a crystallographic row for negatively charged particles has quasi-bound states. It follows that a negatively charged particle with small transversal momentum component ($p_{\bot} R…

Mesoscale and Nanoscale Physics · Physics 2015-01-12 Gennady V. Kovalev

We consider the problem of bounding the effective nonreciprocal properties of metamaterials. Recently, significant progress was made by showing that this problem can be reduced to bounding an equivalent reciprocal one and applying a…

Applied Physics · Physics 2025-09-25 Christian Kern , Graeme W. Milton

The paper considers an opportunity for the creation of an artificial two-component metamaterial with a negative refractive index within the radio and optical frequency band, which possesses a spatial dispersion. It is shown that there…

Optics · Physics 2008-04-28 V. V. Slabko

Symmetry is a cornerstone of condensed matter physics, fundamentally shaping the behavior of electronic systems and inducing the emergence of novel phenomena. The Hall effect, a key concept in this field, demonstrates how symmetry breaking,…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Shuo Wang , Wei Niu , Yue-Wen Fang

The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

Space-time materials are obtained by modulating a physical medium with a traveling-wave perturbation of one or several of its constitutive parameters, such as the density or the bulk modulus in the case of acoustic materials. When this…

Materials Science · Physics 2026-02-10 J. Galiana , J. Redondo , R. Picó , V. J. Sánchez-Morcillo

We present experimental results on a model system for studying wave propagation in a complex medium exhibiting low frequency resonances. These experiments enable us to investigate a fundamental question that is relevant for many materials,…

Classical Physics · Physics 2015-05-20 V. Leroy , A. L. Strybulevych , J. H. Page , M. G. Scanlon

The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in bubbly fluids. The design of double-negative metamaterials generally requires the use of two…

Analysis of PDEs · Mathematics 2018-03-09 Habib Ammari , Brian Fitzpatrick , Hyundae Lee , Sanghyeon Yu , Hai Zhang

An acoustic cloak envelopes an object so that sound incident from all directions passes through and around the cloak as though the object were not present. A theory of acoustic cloaking is developed using the transformation or…

Materials Science · Physics 2008-07-13 Andrew N. Norris

We report both experimentally and theoretically that the enhanced acoustic transmission can occur in the subwavelength region through a thin but stiff structured-plate without any opening. This exotic acoustic phenomenon is essentially…

Classical Physics · Physics 2011-04-22 Zhaojian He , Han Jia , Chunyin Qiu , Shasha Peng , Xuefei Mei , Feiyan Cai , Pai Peng , Manzhu Ke , Zhengyou Liu

We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium with a real-valued negative permittivity/permeability which models a metal at optical frequency or an ideal negative metamaterial. We…

Analysis of PDEs · Mathematics 2013-11-27 Lucas Chesnel , Xavier Claeys , Sergey A. Nazarov

Waves impart momentum and exert force on obstacles in their path. The transfer of wave momentum is a fundamental mechanism for contactless manipulation, yet the rules of conventional scattering intrinsically limit the radiation force based…

Applied Physics · Physics 2022-11-03 Matthew Stein , Sam Keller , Yujie Luo , Ognjen Ilic

Superconducting metamaterials combine the advantages of low-loss, large inductance (with the addition of kinetic inductance), and extreme tunability compared to their normal metal counterparts. Therefore, they allow realization of compact…

Superconductivity · Physics 2015-05-19 C. Kurter , A. P. Zhuravel , J. Abrahams , C. L. Bennett , A. V. Ustinov , S. M. Anlage

We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random block configurations, as the number of blocks $M\to \infty$,…

Mathematical Physics · Physics 2025-05-23 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Alexander Uhlmann

We theoretically investigate quantum transport properties of quantum anomalous Hall bilayers, with arbitrary ratio of lattice constants, i.e., with lattice mismatch. In the simplest case of ratio 1 (but with different model parameters in…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Yan Yu , Yan-Yang Zhang , Si-Si Wang , Ji-Huan Guan , Xiaotian Yang , Yang Xia , Shu-Shen Li

Glasses have a large excess of low-frequency vibrational modes in comparison with crystalline solids. We show that such a feature is a necessary consequence of the geometry generic to weakly connected solids. In particular, we analyze the…

Soft Condensed Matter · Physics 2009-11-10 Matthieu Wyart , Sidney R. Nagel , T. A. Witten
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