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We analyze the inverse scattering series for diffuse waves in random media. In previous work the inverse series was used to develop fast, direct image reconstruction algorithms in optical tomography. Here we characterize the convergence,…

Analysis of PDEs · Mathematics 2009-11-13 Shari Moskow , John C. Schotland

The coherent control of wave absorption has important applications in areas such as energy harvesting, imaging, and sensing. However, most practical scenarios involve the absorption of partially coherent rather than fully coherent waves.…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan

This thesis describes experimental work on the use of wavefront shaping to steer light through strongly scattering materials. We find that scattering does not irreversibly scramble the incident wave. By shaping the incident wavefront, we…

Optics · Physics 2008-07-08 I. M. Vellekoop

A precise definition of chaos for discrete processes based on iteration already exists. We shall first reformulate it in a more general frame, taking into account the fact that discrete chaotic behavior is neither necessarily based on…

Dynamical Systems · Mathematics 2008-06-01 Andrei Vieru

Driven chaotic systems are of interest in mesoscopic physics, as well as in nuclear, atomic and molecular physics. Such systems [coordinates $(Q,P)$]$ tend to absorb energy. This irreversible effect is known as dissipation. "Driving" means…

Quantum Physics · Physics 2007-05-23 Doron Cohen

We present a new and complete analysis of the n-bounce resonance and chaotic scattering in solitary wave collisions. In these phenomena, the speed at which a wave exits a collision depends in a complicated fractal way on its input speed. We…

Pattern Formation and Solitons · Physics 2007-05-23 Roy H. Goodman , Richard Haberman

We present detailed experimental and numerical studies of random lasing in weakly scattering systems. The interference of scattered light, which is weak in the passive systems, is greatly enhanced in the presence of high gain, providing…

Optics · Physics 2009-11-11 X. Wu , W. Fang , A. Yamilov , A. A. Chabanov , A. A. Asatryan , L. C. Botten , H. Cao

The flux-based statistical theory of the non-hierarchical three-body system predicts that the chaotic outcome distribution reduces to the chaotic emissivity function times a known function, the asymptotic flux. Here, we measure the chaotic…

Dynamical Systems · Mathematics 2024-02-19 Viraj Manwadkar , Alessandro Alberto Trani , Barak Kol

Atoms, propagating across a detuned standing laser wave, can be scattered in a chaotic way even in the absence of spontaneous emission and any modulation of the laser field. Spontaneous emission masks the effect in some degree, but the…

Atomic Physics · Physics 2015-06-05 S. V. Prants

We employ the Random Matrix Theory framework to calculate the density of zeroes of an $M$-channel scattering matrix describing a chaotic cavity with a single localized absorber embedded in it. Our approach extends beyond the weak-coupling…

Disordered Systems and Neural Networks · Physics 2017-06-30 Yan V. Fyodorov , Suwun Suwunarat , Tsampikos Kottos

An arbitrary optical waveform can be synthesized by complex-frequency waves as well as by realfrequency harmonic waves. While single complex-frequency wave with exponentially rising waveform can be perfectly absorbed in lossless structures.…

Optics · Physics 2025-12-22 Zhaohua Tian , Yu Tian , Yadi Niu , Qi Liu , Zihan Mo , Haoyang Zhang , Qihuang Gong , Ying Gu

Problem for a cubic string having the shape of a step is studied. It is proved that here we have two scattering problems: the direct one and its dual. The direct problem describes scattering of the waves coming from ``$+\infty$'', and its…

Classical Analysis and ODEs · Mathematics 2025-09-09 Vladimir A. Zolotarev

We develop a multiple scattering theory for the absorption of waves in disordered media. Based on a general expression of the average absorbed power, we discuss the possibility to maximize absorption by using structural correlations of…

Optics · Physics 2020-05-20 Alexandra Sheremet , Romain Pierrat , Rémi Carminati

Effect of a complicated many-body environment is analyzed on the chaotic motion of a quantum particle in a mesoscopic ballistic structure. The dephasing and absorption phenomena are treated on the same footing in the framework of a model…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Valentin V. Sokolov

In the linear approximation we study long wave scattering on an axially symmetric flow in a shallow water basin with a drain in the center. This classical problem can be considered as a model of wave scattering on a rotating black hole. For…

Fluid Dynamics · Physics 2019-05-15 Semyon Churilov , Yury Stepanyants

The problem of the description of absorption and scattering losses in high-Q cavities is studied. The considerations are based on quantum noise theories, hence the unwanted noise associated with scattering and absorption is taken into…

Quantum Physics · Physics 2007-08-02 A. A. Semenov , D. Yu. Vasylyev , W. Vogel , M. Khanbekyan , D. -G. Welsch

A formalism is introduced to describe a number of physical processes that may break down the coherence of a matter wave over a characteristic length scale l. In a second-quantized description, an appropriate master equation for a set of…

Quantum Physics · Physics 2015-06-26 Julio Gea-Banacloche

Intensities of LEED and PED are analyzed from a statistical point of view. The probability distribution is compared with a Porter-Thomas law, characteristic of a chaotic quantum system. The agreement obtained is understood in terms of…

Statistical Mechanics · Physics 2009-10-30 P. L. de Andres , J. A. Vergés

The gravitational waveforms of a chaotic system will exhibit sensitive dependence on initial conditions. The waveforms of nearby orbits decohere on a timescale fixed by the largest Lyapunov exponent of the orbit. The loss of coherence has…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Neil J. Cornish

We analytically study a scattering of long linear surface waves on stationary currents in a duct (canal) of constant depth and variable width. It is assumed that the background velocity linearly increases or decreases with the longitudinal…

Fluid Dynamics · Physics 2017-09-20 Semyon Churilov , Andrei Ermakov , Yury Stepanyants