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Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical…

Quantum Physics · Physics 2015-05-18 E. Torrontegui , J. G. Muga , J. Martorell , D. W. L. Sprung

We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

We derive a universal bound on the integrated total scattering cross-section at \emph{finite} energies, expressed in terms of a single low-energy coefficient constrained by the non-perturbative S-matrix Bootstrap. At high energies, the…

High Energy Physics - Theory · Physics 2025-06-06 Miguel Correia , Alessandro Georgoudis , Andrea L. Guerrieri

Scattering of waves is omnipresent in nature in systems with sizes varying from $10^{-15}$ to $10^{25}$ m. Within this 40 orders of magnitude, in a great number of systems, the scattering can be separated in an averaged response that…

Disordered Systems and Neural Networks · Physics 2020-07-08 A. M. Martínez-Argüello , V. Domínguez-Rocha , R. A. Méndez-Sánchez , M. Martínez-Mares

The spectrum of the light scattered from an extended atomic wave packet is calculated. For a wave packet consisting of two spatially separated peaks moving on parallel trajectories, the spectrum contains Ramsey-like fringes that are…

Atomic Physics · Physics 2009-11-07 B. Dubetsky , P. R. Berman

In a wide class of potentials the exact asymptotic dependence on finite distance R from scattering center is established for outgoing differential flux. It is shown how this dependence is eliminated by integration over solid angle for total…

Quantum Physics · Physics 2017-04-04 S. E. Korenblit , A. V. Sinitskaya

A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

Optics · Physics 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

Illumination of a two-dimensional system by a twisted light beam is considered in order to find specific effects caused by twisting. Direct interband transitions between the valence and conduction bands are supposed. The generation rates of…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 L. S. Braginsky , M. M. Mahmoodian , L. I. Magarill , M. V. Entin

Recent developments in low energy pion physics are reviewed, emphasizing the strength of dispersion theory in this context. As an illustration of the method, I discuss some consequences of the forward dispersion relation obeyed by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Leutwyler

We calculate the cross section of the electron scattering from a bound nucleon within light-front approximation. The advantage of this approximation is the possibility of systematic account for the off-shell effects which become essential…

Nuclear Theory · Physics 2018-10-03 Frank Vera , Misak M. Sargsian

Laser-driven rescattering of electrons is the basis of many strong-field phenomena in atoms and molecules. Here, we will show how this mechanism operates in extended atomic systems, giving rise to effective energy absorption. Rescattering…

Atomic and Molecular Clusters · Physics 2008-04-07 Ulf Saalmann , Jan M. Rost

Many applications of electromagnetic scattering involve particles immersed in an absorbing rather than lossless medium, thereby making the conventional scattering theory potentially inapplicable. To analyze this issue quantitatively, we…

Optics · Physics 2018-09-05 M. I. Mishchenko , J. M. Dlugach

We analytically and numerically clarify the physical origin and the behaviour of the Norton-wave scattered by a narrow slit, at optical frequencies. This apparently surface field, which comes in addition to the surface plasmon polariton and…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 Jerome Le Perchec

In this work, we summarize the current state of understanding of lateral displacement and angular deviations of an optical beam propagating through dielectric blocks. In part I, the analytical formulas, found for critical incidence, are…

Optics · Physics 2019-12-19 Steafno De Leo , Gabriel G. Maia

These lectures treat scattering theory from a non-perturbative point of view. The course begins with a review of formal aspects in scattering theory, discussing the in/out states and the $S$ matrix that connects them. Unitarity relations,…

High Energy Physics - Phenomenology · Physics 2024-09-26 J. A. Oller

By using the gauge-invariant kinetic equation, we analytically investigate the influence of the scattering on the optical properties of superconductors in the normal-skin-effect region. Both linear and second-order responses are studied…

Superconductivity · Physics 2020-10-13 F. Yang , M. W. Wu

The flux-across-surfaces conjecture represents a corner stone in quantum scattering theory because it is the key-assumption needed to prove the usual relation between differential cross section and scattering amplitude. We improve a recent…

Mathematical Physics · Physics 2009-06-18 Gian Fausto Dell'Antonio , Gianluca Panati

We describe an optical technique based on the statistical analysis of the random intensity distribution due to the interference of the near-field scattered light with the strong transmitted beam. It is shown that, from the study of the…

Optics · Physics 2009-11-10 Doriano Brogioli , Alberto Vailati , Marzio Giglio

The extended boundary condition method can be used to study planewave scattering by an ellipsoid composed of an orthorhombic dielectric-magnetic material whose relative permittivity dyadic is a scalar multiple of its relative permeability…

Many optical measurement techniques, such as light scattering from wavelength-scale particles or detecting motion from a surface with an optical lever, encode information in a complex radiation pattern. Extracting all available information…

Quantum Physics · Physics 2025-12-22 Youssef Tawfik , Shan Hao , Thomas P. Purdy