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We present a comprehensive study of the resolution and stability properties of sparse promoting optimization theories applied to narrow band array imaging of localized scatterers. We consider homogeneous and heterogeneous media, and…

Numerical Analysis · Mathematics 2016-08-24 Anwei Chai , Miguel Moscoso , George Papanicolaou

Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical properties or the number of disconnected components of the…

Analysis of PDEs · Mathematics 2023-11-29 General Ozochiawaeze

The understanding of how the arrangement of defects in photonic crystals impacts its photonic properties is cru-cial for the design of functional materials based thereon. By preparing photonic crystals with random missing scatterers we…

The effect of competing nonlinearity on beam dynamics in parity-time $(\mathcal{PT})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical…

Pattern Formation and Solitons · Physics 2012-10-09 Shuang Liu , Caiwen Ma , Yiqi Zhang , Keqing Lu

We report on a detailed investigation of the dynamics and the saturation of a light grating stored in a sample of cold cesium atoms. We employ Bragg diffraction to retrieve the stored optical information impressed into the atomic coherence…

Quantum Physics · Physics 2009-11-13 D. Moretti , N. Gonzalez , D. Felinto , J. W. R. Tabosa

When N driven atoms emit in phase into a high-Q cavity mode, the intracavity field generated by collective scattering interferes destructively with the pump driving the atoms. Hence atomic fluorescence is suppressed and cavity loss becomes…

Quantum Physics · Physics 2009-11-13 Stefano Zippilli , Giovanna Morigi , Helmut Ritsch

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

Persistent scatterer interferometry and Synthetic Aperture Radar (SAR) Tomography are powerful tools for the detection and time monitoring of persistent scatterers. They have been proven to be effective in urban scenarios, especially for…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Pia Addabbo , Diego Reale , Antonio Pauciullo , Gianfranco Fornaro , Danilo Orlando

Diffraction methods are at the heart of structure determination of solids. While Bragg-like scattering (pure point diffraction) is a characteristic feature of crystals and quasicrystals, it is not straightforward to interpret continuous…

Mathematical Physics · Physics 2009-06-26 Michael Baake , Uwe Grimm

We consider a system governed by the wave equation with index of refraction $n(x)$, taken to be variable within a bounded region $\Omega\subset \mathbb R^d$, and constant in $\mathbb R^d \setminus \Omega$. The solution of the time-dependent…

Optimization and Control · Mathematics 2014-05-21 Braxton Osting , Michael I. Weinstein

Laser light scattering systems with volume Bragg grating (VBG) filters, which act as a spectral/angular filter, have often been used as a point measurement technique with spatial resolution as low as a few hundred um defined by the beam…

Scattering is a ubiquitous phenomenon which is observed in a variety of physical systems which span a wide range of length scales. The scattering matrix is the key quantity which provides a complete description of the scattering process.…

Statistical Mechanics · Physics 2014-01-21 André Nock , Santosh Kumar , Hans-Jürgen Sommers , Thomas Guhr

We consider scattering of a free quantum particle on a singular potential with rather arbitrary shape of the support of the potential. In the classical limit $\hbar=0$ this problem reduces to the well known problem of chaotic scattering.…

chao-dyn · Physics 2009-10-22 Alexander G. Ramm , Gennady P. Berman

The distribution of the consecutive level-spacing ratio is now widely used as a tool to distinguish integrable from chaotic quantum spectra, mostly due to its avoiding of the numerical spectral unfolding. Similar to the use of the…

Chaotic Dynamics · Physics 2025-05-21 Hua Yan

The mode dynamics of a random laser is investigated in experiment and theory. The laser consists of a ZnCdO/ZnO multiple quantum well with air-holes that provide the necessary feedback. Time-resolved measurements reveal multimode spectra…

Optics · Physics 2015-10-09 M. Höfner , H. -J. Wünsche , F. Henneberger

In order to choose a numerical method for solving the time dependent equations of radiative transport, we obtain an exact solution for the time dependent radiation field in a one dimensional infinite medium with monochromatic, isotropic…

Astrophysics · Physics 2009-11-13 D. I. Nagirner , S. L. Kirusheva

For problems of time-harmonic scattering by polygonal obstacles, embedding formulae provide a useful means of computing the far-field coefficient induced by any incident plane wave, given the far-field coefficient of a relatively small set…

Numerical Analysis · Mathematics 2018-05-24 Andrew Gibbs , Stephen Langdon , Andrea Moiola

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

Ultracold atoms loaded on optical lattices can provide unprecedented experimental systems for the quantum simulations and manipulations of many quantum phases and quantum phase transitions between these phases. However, so far, how to…

Atomic Physics · Physics 2013-01-07 Jinwu Ye , Keye Zhang , Yan Li , Yan Chen , Weiping Zhang

By engineering atomic geometries composed of nearly 1000 atomic segments embedded in micro-resonators we observe Bragg resonances induced by the atomic lattice at the telecommunication wavelength. The geometrical arrangement of erbium atoms…

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