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In this paper we study the linearized inverse problem associated with imaging of reflection seismic data. We introduce an inverse scattering transform derived from reverse-time migration (RTM). In the process, the explicit evaluation of the…

Analysis of PDEs · Mathematics 2011-01-24 Tim J. P. M. Op 't Root , Christiaan C. Stolk , Maarten V. de Hoop

Techniques to deal with Feshbach resonances are applied to describe resonant light scattering off one dimensional photonic crystal slabs. Accurate expressions for scattering amplitudes, free of any fitting parameter, are obtained for…

Optics · Physics 2012-09-26 I. Evenor , E. Grinvald , F. Lenz , S. Levit

Based on the developed quantum microscopic theory, the interaction of weak electromagnetic radiation with dense ultracold atomic clouds is described in detail. The differential and total cooperative scattering cross sections are calculated…

Quantum Physics · Physics 2015-05-27 I. M. Sokolov , D. V. Kupriyanov , M. D. Havey

When a cold atomic gas is illuminated by a quasi-resonant laser beam, light-induced dipole-dipole correlations make the scattering of light a cooperative process. Once a fluid description is adopted for the atoms, many scattering properties…

Optics · Physics 2013-10-23 N. Piovella , R. Bachelard , Ph. W. Courteille

A scheme for analyzing Thomson scattering of x-rays by warm dense matter, based on the average-atom model, is developed. Emphasis is given to x-ray scattering by bound electrons. Contributions to the scattered x-ray spectrum from elastic…

Plasma Physics · Physics 2012-11-02 W. R. Johnson , J. Nilsen , K. T. Cheng

We propose a general impulsive model for scattering of molecules from a flat solid surface. It is assumed within the framework of this model that an encounter of an atom (or ion) with the surface is a series of elastic (in the direction…

We report on theoretical and numerical study of propagation of atomic beams crossing a detuned standing-wave laser beam in the geometric optics limit. The interplay between external and internal atomic degrees of freedom is used to…

Atomic Physics · Physics 2015-03-19 S. V. Prants , V. O. Vitkovsky , L. E. Konkov

We theoretically investigate light scattering from an array of atoms into the guided modes of a waveguide. We show that the scattering of a plane wave laser field into the waveguide modes is dramatically enhanced for angles that deviate…

Quantum Physics · Physics 2021-10-27 B. Olmos , C. Liedl , I. Lesanovsky , P. Schneeweiss

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · Physics 2009-10-31 Tsampikos Kottos , U. Smilansky

The dark matter scattering with atomic bound electrons is a crucial avenue for exploring the sub-GeV mass range. If not handled properly, even negative values can arise in the scattering matrix element squared or equivalently the…

High Energy Physics - Phenomenology · Physics 2025-09-22 Shao-Feng Ge , Jie Sheng , Chuan-Yang Xing

We develop a formalism for the scattering of a particle on the $q$-deformed Euclidean space. We write down $q$-versions of the Lippmann-Schwinger equation. Their iterative solutions for a weak scattering potential lead us to $q$-versions of…

Quantum Physics · Physics 2022-08-12 Hartmut Wachter

Ultrafast scattering using X-rays or electrons is an emerging method to obtain structure dynamics at the atomic length and time scales. However, directly resolving in real-space atomic motions is inherently limited by the finite detector…

Atomic Physics · Physics 2023-02-09 Adi Natan

The optical properties of a fixed atom are well-known and investigated. For example, the extraordinarily large cross section of a single atom as seen by a resonant photon is essential for quantum optical applications. Mechanical effects…

Quantum Physics · Physics 2024-04-16 Teresa D. Karanikolaou , Robert J. Bettles , Darrick E. Chang

The average-atom model is applied to study Thomson scattering of x-rays from warm-dense matter with emphasis on scattering by bound electrons. Parameters needed to evaluate the dynamic structure function (chemical potential, average ionic…

Plasma Physics · Physics 2015-06-05 W. R. Johnson , J. Nilsen , K. T. Cheng

A transfer-matrix algorithm is presented herein as a beginning to study the transmission characteristics of coherent light through three-dimensional periodic microstructures, in which the structures are treated as two-dimensional-layer…

Statistical Mechanics · Physics 2015-05-27 I. L. Ho , Y. C. Chang , W. Y. Li , M. T. Lee , C. Y. Yin

We review exact formalisms for describing the dynamics of liquids in terms of static parameters. We discuss how these formalisms are prone to suffer from imposing restrictions that appear to adhere to common sense but which are overly…

Statistical Mechanics · Physics 2024-06-19 Wouter Montfrooij , Ubaldo Bafile , Eleonora Guarini

We investigate the dispersion relations for light coupled to one-dimensional ensembles of atoms with different level schemes. The unifying feature of all the considered setups is that the forward and backward propagating quantum fields are…

Quantum Physics · Physics 2016-11-16 Ivan Iakoupov , Johan R. Ott , Darrick E. Chang , Anders S. Sørensen

An easy to implement and powerful method for the solution of 3D scattering problems that can be well described by Helmholtz equation is presented. The matrix algebra used provides excellent stability versus the number of junctions as well…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. A. Torres , J. J. Saenz

Bombardment of materials by high-energy particles (e.g., electrons, nuclei, X- and $\gamma$-ray photons) often leads to light emission, known generally as scintillation. Scintillation is ubiquitous and enjoys widespread applications in many…

We construct nonrelativistic J-matrix theory of scattering for a system whose reference Hamiltonian is enhanced by one-parameter linear deformation to account for nontrivial physical effects that could be modeled by a singular ground state…

Mathematical Physics · Physics 2009-11-07 A. D. Alhaidari
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