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We study Anderson localization of a scalar wave in an ensemble of resonant point scatterers embedded in an anisotropic background medium. For uniaxial anisotropy of moderate strength, the mobility edges and the critical exponent of the…

Disordered Systems and Neural Networks · Physics 2021-07-27 Antton Goïcoechea , John H. Page , Sergey E. Skipetrov

The recent theory of compressive sensing leverages upon the structure of signals to acquire them with much fewer measurements than was previously thought necessary, and certainly well below the traditional Nyquist-Shannon sampling rate.…

Several aspects of interplay between Anderson localization and coherent amplification/absorption, and aspect of mirrorless laser for a laser-active (amplifying) disordered dielectric medium have been addressed. We have calculated the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Prabhakar Pradhan

An electromagnetic wave-packet propagating in a linear, homogeneous, and isotropic medium changes shape while its envelope travels with different velocities at different points in spacetime. In general, a wave-packet can be described as a…

Optics · Physics 2020-08-26 Masud Mansuripur

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

Spectral singularities and the coherent perfect absorption are two interrelated concepts that have originally been introduced and studied for linear waves interacting with complex potentials. In the meantime, the distinctive asymptotic…

Pattern Formation and Solitons · Physics 2020-10-22 Dmitry A. Zezyulin , Vladimir V. Konotop

We prove the possibility of achieving exponentially growing wave propagation in space-time modulated media and give an asymptotic analysis of the quasifrequencies in terms of the amplitude of the time modulation at the degenerate points of…

Analysis of PDEs · Mathematics 2022-06-30 Habib Ammari , Jinghao Cao , Xinmeng Zeng

It is demonstrated theoretically that the absorptivity of bulk shear sagittal waves by an ultra-thin layer of viscous fluid between two different elastic media has a strong maximum (in some cases as good as 100%) at an optimal layer…

Classical Physics · Physics 2007-05-23 Dmitri K. Gramotnev , Melissa L. Mather , Timo A. Nieminen

Slow sound is a frequently exploited phenomenon that metamaterials can induce in order to permit wave energy compression, redirection, imaging, sound absorption and other special functionalities. Generally however such slow sound structures…

Dynamic and steady state aspects of wave propagation are deeply connected in lossless open systems in which the scattering matrix is unitary. There is then an equivalence among the energy excited within the medium, the Wigner time delay,…

Disordered Systems and Neural Networks · Physics 2021-06-25 Yiming Huang , Yuhao Kang , Azriel Z. Genack

Damping typically results in attenuation of vibrations and elastic wave propagation in mechanical systems. Contrary to this conventional understanding, we demonstrate experimentally and explain theoretically the revival of an elastic wave…

Applied Physics · Physics 2024-05-13 Yanghao Fang , William Tuxbury , Abhishek Gupta , Tsampikos Kottos , Ramathasan Thevamaran

We theoretically and experimentally report sub-wavelength resonant panels for low-frequency quasi-perfect sound absorption including transmission by using the accumulation of cavity resonances due to the slow sound phenomenon. The…

Classical Physics · Physics 2019-10-16 Noé Jiménez , Vicent Romero-García , Vincent Pagneux , Jean-Philippe Groby

Materials featuring anomalous suppression of density fluctuations over large length scales are emerging systems known as disordered hyperuniform. The underlying hidden order renders them appealing for several applications, such as light…

We present an ultra broadband thin-film infrared absorber made of saw-toothed anisotropic metamaterial. Absorbtivity of higher than 95% at normal incidence is supported in a wide range of frequencies, where the full absorption width at half…

Optics · Physics 2015-06-03 Yanxia Cui , Kin Hung Fung , Jun Xu , Hyungjin Ma , Yi Jin , Sailing He , Nicholas X. Fang

We present numerical simulations of disordered stealthy hyperuniform layered media ranging up to 10,000 thin slabs of high-dielectric constant separated by intervals of low dielectric constant that show no apparent evidence of Anderson…

Disordered Systems and Neural Networks · Physics 2025-07-31 Michael A. Klatt , Paul J. Steinhardt , Salvatore Torquato

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

Analysis of PDEs · Mathematics 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

We describe here a class of acoustic metamaterials with fractal Hilbert space-filling and coiled geometry with equal tortuosity for noise mitigation. Experiments are performed using a four-microphone impedance tube and benchmarked against…

Applied Physics · Physics 2022-02-23 Gianni Comandini , Codor Khodr , Valeska Ting , Mahdi Azarpeyvand , Fabrizio Scarpa

Transmission of the scalar field through the random medium, represented by the system of randomly distributed dielectric cylinders is calculated numerically. System is mapped to the problem of electronic transport in disordered…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 P. Markos , C. M. Soukoulis

We study analytically and numerically the Anderson model in one dimension with "stealthy" disorder, defined as having a power spectrum that vanishes in a continuous band of wave numbers. Motivated by recent studies on the optical…

Disordered Systems and Neural Networks · Physics 2026-04-15 Carlo Vanoni , Jonas Karcher , Mikael C. Rechtsman , Boris L. Altshuler , Paul J. Steinhardt , Salvatore Torquato

Energy of propagating electromagnetic waves can be fully absorbed in a thin lossy layer, but only in a narrow frequency band, as follows from the causality principle. On the other hand, it appears that there are no fundamental limitations…