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A one-dimensional generalized nonlinear Schroedinger equation is considered, and the corresponding inverse scattering problem is analyzed when the potential is compactly supported and depends on the wave function. The unique recovery of the…

Mathematical Physics · Physics 2007-05-23 Tuncay Aktosun , Vassilis G. Papanicolaou , Vassilis Zisis

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

A revised formula for the inclusive cross section for double parton scattering in terms of the modified collinear two-parton distributions extracted from deep inelastic scattering is suggested. The possible phenomenological issues are…

High Energy Physics - Phenomenology · Physics 2015-03-19 M. G. Ryskin , A. M. Snigirev

The scattering of two hadronic objects at high energy is similar to a reaction-diffusion process described by the stochastic Fisher-Kolmogorov equation. This basic observation enables us to derive universal properties of the scattering…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Munier

We derive the $\mathcal{T}$-matrix formalism tailored for numerical analysis of second-harmonic (SH) generation from arbitrarily shaped particles made of centrosymmetric optical materials. First, the transfer matrix of a single particle is…

Optics · Physics 2025-08-18 Ivan Sekulic , Ji Tong Wang , Jian Wei You , Nicolae C. Panoiu

The depolarized light scattering spectra of the glass forming liquid ortho-terphenyl have been calculated in the low frequency region using molecular dynamics simulation. Realistic system's configurations are produced by using a recent…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , G. Ruocco , M. Sampoli

The polarization of x-rays plays an outstanding role in experimental techniques such as non-resonant magnetic x-ray scattering and resonant x-ray scattering of magnetic and multipolar order. Different instrumental methods applied to…

Strongly Correlated Electrons · Physics 2014-09-24 C. Detlefs , M. Sanchez del Rio , C. Mazzoli

It is shown that the scattering of laser radiation on cavitation ruptures in fluids is similar to the scattering by gas particles. When the characteristic dimensions of microscopic voids and bubbles are considerably smaller than the laser…

Optics · Physics 2016-03-03 M. N. Shneider , M. Pekker

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

Analytic expressions for the differential cross sections of ultracold atoms and molecules that scatter primarily due to dipolar interactions are derived within the first Born approximation, and are shown to agree with the partial wave…

Atomic Physics · Physics 2015-06-18 John L. Bohn , Deborah S. Jin

We study the effects of Rayleigh and Raman scattering on the formation of polarized spectral lines in a $\Lambda$-type multi-term atom. We fully take into account the partial redistribution of frequency and the presence of atomic…

Solar and Stellar Astrophysics · Physics 2016-06-29 R. Casini , R. Manso Sainz

The Sudden Approximation (SA) for scattering of atoms from surfaces is generalized to allow for double collision events and scattering from time-dependent quantum liquid surfaces. The resulting new schemes retain the simplicity of the…

Materials Science · Physics 2015-06-25 Daniel A. Lidar

We interpret cooperative scattering by a collection of cold atoms as a multiple scattering process. Starting from microscopic equations describing the response of $N$ atoms to a probe light beam, we represent the total scattered field as an…

We consider emission of a photon by an electron in the field of a strong laser wave. Polarization effects in this process are important for a number of physical problems. We discuss a probability of this process for linearly polarized laser…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Yu. Ivanov , G. L. Kotkin , V. G. Serbo

A measure of the degree of polarization for the three-dimensional polarization matrix (coherence matrix) of an electromagnetic field is proposed, based on Rayleigh scattering. The degree of polarization, due to dipole scattering of the…

Optics · Physics 2009-11-13 M. R. Dennis

This study provides an accurate, efficient, and simple multiple scattering formulation for heavy charged particles such as protons and heavier ions with a new form of scattering power that is a key quantity for beam transport in matter. The…

Medical Physics · Physics 2008-11-25 Nobuyuki Kanematsu

This paper studies the asymptotic behavior of global solutions to the generalized Hartree equation $$i\dot u+\Delta u+(I_\alpha *|\cdot|^b|u|^p)|x|^b|u|^{p-2}u=0 .$$ Indeed, using a new approach due to \cite{dm}, one proves the scattering…

Analysis of PDEs · Mathematics 2020-10-15 Tarek Saanouni

Quantum graphs can be extended to scattering systems when they are connected by leads to infinity. It is shown that for certain extensions, the scattering matrices of isospectral graphs are conjugate to each other and their poles…

Mathematical Physics · Physics 2016-01-19 Ram Band , Adam Sawicki , Uzy Smilansky

When particles are multiply scattered by a random potential, their momentum distribution becomes isotropic on average. We study this quantum dynamics numerically and with a master equation. We show how to measure the elastic scattering time…

Quantum Gases · Physics 2013-04-11 T. Plisson , T. Bourdel , C. A. Müller

In this article we provide a practical prescription to harness the rigorous microscopic, quantum level descriptions of light-matter systems provided by Hopfield diagonalisation for quantum description of nonlinear scattering. A general…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Christopher R. Gubbin , Simone De Liberato