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The approximate nature of radiative transfer equation (RTE) leads to a bunch of considerations on the effect of "dependent scattering" in random media, especially particulate media composed of discrete scatterers, in the last a few decades,…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 B. X. Wang , C. Y. Zhao

It is shown that perfect absorption and giant amplification can be realized when a wave impinges on a special metamaterial layer with zero real parts of the permittivity and permeability. The imaginary parts of the permittivity and…

Optics · Physics 2011-05-26 Y. Jin , S. S. Xiao , N. A. Mortensen , S. L. He

Analytical study of the distribution of phase of the transmission coefficient through 1D disordered absorbing system is presented. The phase is shown to obey approximately Gaussian distribution. An explicit expression for the variance is…

Disordered Systems and Neural Networks · Physics 2009-10-28 V. Freilikher , M. Pustilnik

We investigate wave amplification through the Electron Cyclotron Maser mechanism. We derive a semi-analytic approximation formula giving the frequencies at which the absorption coefficient is negative. The coefficients still need to be…

Astrophysics · Physics 2007-05-23 Amnon Stupp

Parametric amplification offers a route to overcoming intrinsic damping in spin-wave systems, a key challenge in the development of magnonic signal processing and computing technologies. Here we demonstrate the sustained amplification of…

Other Condensed Matter · Physics 2025-07-22 Carson Rivard , Albrecht Jander , Pallavi Dhagat

Light propagating in an optical waveguide can gain or lose power through interaction with a travelling acoustic wave or radio-frequency modulation of permittivity. Here, we model this propagation by considering an optical wave interacting…

Optics · Physics 2026-02-03 M. Sumetsky

Various authors have shown that, near the onset of a period-doubling bifurcation, small perturbations in the control parameter may result in much larger disturbances in the response of the dynamical system. Such amplification of small…

Chaotic Dynamics · Physics 2007-05-23 Xiaopeng Zhao , David G. Schaeffer , Carolyn M. Berger , Daniel J. Gauthier

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

Analysis of PDEs · Mathematics 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

We study an inverse source problem for the acoustic wave equation in a random waveguide. The goal is to estimate the source of waves from measurements of the acoustic pressure at a remote array of sensors. The waveguide effect is due to…

Analysis of PDEs · Mathematics 2015-02-25 Sebastian Acosta , Ricardo Alonso , Liliana Borcea

We study the unconventional transmission properties of a wave-packet through a PT-symmetric potential region, as describing actual electromagnetic wave propagation along a waveguide filled with gain and loss media. The non-trivial behavior…

Quantum Physics · Physics 2017-10-03 M. Di Mauro , S. Esposito , A. Naddeo

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

Incorporating both gain and loss into electromagnetic systems provides possibilities to engineer effects in unprecedented ways. Concerning electromagnetic effects in isotropic media that have concurrently electric and magnetic responses,…

Applied Physics · Physics 2023-08-31 L. Freter , M. S. Mirmoosa , A. Sihvola , C. R. Simovski , S. A. Tretyakov

In this paper, we embark on a captivating exploration of the stabilization of locally transmitted problems within the realm of two interconnected wave systems. To begin, we wield the formidable Arendt-Batty criteria\cite{AW} to affirm the…

Analysis of PDEs · Mathematics 2023-10-13 Wafa Ahmedi , Akram Ben Aissa

We focus on the study of the processes undergone by a perfect gas when the external pressure is suddenly modified. The analysis shows that, from the second law perspective, there is a non-evident asymmetry between the processes of…

Classical Physics · Physics 2023-11-14 Andrés Vallejo , Matías Osorio

Decorated membrane, comprising a thin layer of elastic film with small rigid platelets fixed on top, has been found to be an efficient absorber of low frequency sound. In this work we consider the problem of sound absorption from a…

Materials Science · Physics 2015-09-15 Min Yang , Yong Li , Chong Meng , Caixing Fu , Jun Mei , Zhiyu Yang , Ping Sheng

Media featuring both optical gain and disorder, such as random lasers, represent formidable challenges as subjects of research due to the high complexity of the light propagation within them; however, dramatic advances in this nascent field…

We study the implications of time-varying wave mechanics, and show how the standard wave equation is modified if the speed of a wave is not constant in time. In particular, waves which experience longitudinal acceleration are shown to have…

Optics · Physics 2023-04-18 Matias Koivurova , Charles W. Robson , Marco Ornigotti

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

Flat band systems can yield interesting phenomena, such as dispersion suppression of waves with frequency at the band. While linear transport vanishes, the corresponding nonlinear case is still an open question. Here, we study power…

Pattern Formation and Solitons · Physics 2023-12-01 H. Susanto , N. Lazarides , I. Kourakis

We develop a novel and powerful method of exactly calculating various transport characteristics of waves in one-dimensional random media with (or without) coherent absorption or amplification. Using the method, we compute the probability…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kihong Kim