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Acoustic propagation and scattering in water containing many parallel air-filled cylinders is studied. Two situations are considered and compared: (1) wave propagating through the array of cylinders, imitating a traditional experimental…

Disordered Systems and Neural Networks · Physics 2016-08-31 Yu-Yu Chen , Zhen Ye

Recent theoretical and experimental advances have shed light on the existence of so-called `perfectly transmitting' wavefronts with transmission coefficients close to 1 in strongly backscattering random media. These perfectly transmitting…

Optics · Physics 2015-06-18 Curtis Jin , Raj Rao Nadakuditi , Eric Michielssen , Stephen Rand

Coherent wave control is of key importance across a broad range of fields such as electromagnetics, photonics, and acoustics. It enables us to amplify or suppress the outgoing waves via engineering amplitudes and phases of multiple…

Recent experiments have demonstrated that it is possible to alter the dispersion of a medium without significantly altering its absorption or refractive index and that this may be done while a wave propagates through the medium. This…

Optics · Physics 2010-06-10 Douglas H. Bradshaw , Michael D. Di Rosa

We study the intensity distribution function, P(I), for monochromatic waves propagating in quasi one-dimensional disordered medium, assuming that a point source and a point detector are embedded in the bulk of the medium. We find deviations…

Condensed Matter · Physics 2009-10-31 A. D. Mirlin , R. Pnini , B. Shapiro

We study the propagation of waves in a set of absorbing subwavelength scatterers positioned on a stealth hyperuniform point pattern. We show that spatial correlations in the disorder substantially enhance absorption compared to a fully…

Optics · Physics 2019-03-27 Florian Bigourdan , Romain Pierrat , Rémi Carminati

Wave scattering is considered in a medium in which many small particles are embedded. Equations for the effective field in the medium are derived when the number of particles tends to infinity.

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

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

The transmission matrix of a disordered medium, experimentally accessible for classical waves and central to the theory of mesoscopic electronic transport, supports transmission eigenchannels ranging from complete to vanishing transmission.…

Optics · Physics 2026-05-19 Israel Kurtz , Yiming Huang , Zhou Shi , Azriel Z Genack

We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and we consider two setups, where the wave propagation is along…

Mathematical Physics · Physics 2024-01-30 Liliana Borcea , Josselin Garnier

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

A fundamental challenge in physics is controlling the propagation of waves in disordered media despite strong scattering from inhomogeneities. Spatial light modulators enable one to synthesize (shape) the incident wavefront, optimizing the…

Optics · Physics 2017-02-15 Chia Wei Hsu , Seng Fatt Liew , Arthur Goetschy , Hui Cao , A. Douglas Stone

Modified scattering phenomena are encountered in the study of global properties for nonlinear dispersive partial differential equations in situations where the decay of solutions at infinity is borderline and scattering fails just barely.…

Analysis of PDEs · Mathematics 2022-12-21 Mihaela Ifrim , Daniel Tataru

Anderson localization does not lead to an exponential decay of intensity of an incident wave with the depth inside a strongly disordered three-dimensional medium. Instead, the average intensity is roughly constant in the first half of a…

Disordered Systems and Neural Networks · Physics 2019-12-10 S. E. Skipetrov , I. M. Sokolov

Waves propagate through disordered systems in a variety of regimes. There is a threshold of disorder beyond which waves become localized and transport becomes restricted. The intensity I of the wave transmitted through a system has a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

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

We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated medium. Precisely, we assume that the permeability is unchanged while the permittivity has a multiple-step profile in time and uniformly constant in…

Mathematical Physics · Physics 2023-12-18 Mourad Sini , Haibing Wang , Qingyun Yao

Waves entering a spatially uniform lossy medium typically undergo exponential decay, arising from either the energy loss of the Beer-Lambert-Bouguer transmission law or the evanescent penetration during reflection. Recently, exceptional…

A flexible control of wave scattering in complex media is of relevance in different areas of classical and quantum physics. Recently, a great interest has been devoted to scattering engineering in non-Hermitian systems, with the prediction…

Quantum Physics · Physics 2022-09-27 Stefano Longhi , Ermanno Pinotti