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Scattering is an important phenomenon which is observed in systems ranging from the micro- to macroscale. In the context of nuclear reaction theory the Heidelberg approach was proposed and later demonstrated to be applicable to many chaotic…

We consider the light scattering problem for a Gaussian beam and a (spherical) particle at arbitrary location. Within the beam cross section, the total electromagnetic field is the superposition of the incident beam and the scattered wave.…

Optics · Physics 2025-04-09 Jonas Gienger

The Bethe-Salpeter equation (BSE) for bound states in scalar theories is reformulated and solved in terms of a generalized spectral representation directly in Minkowski space. This differs from the conventional approach, where the BSE is…

High Energy Physics - Phenomenology · Physics 2015-06-25 K. Kusaka , K. M. Simpson , A. G. Williams

Many practical applications require the analysis of electromagnetic scattering properties of local structures using different sources of illumination. The Optical Theorem (OT) is a useful result in scattering theory, relating the extinction…

Optics · Physics 2020-08-11 Irving Rondon , Francisco Soto-Eguibar

We give a new proof of well posedness of the inverse modified scattering problem for the Vlasov--Poisson system: for every suitable scattering profile there exists a solution of Vlasov--Poisson which disperses and scatters, in a modified…

Analysis of PDEs · Mathematics 2024-04-25 Volker Schlue , Martin Taylor

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant frameworks of Infrared Regularization (IR) and Extended-On-Mass-Shell (EOMS) up to O(q^3) in the chiral expansion, where q is a generic small momentum. We…

Nuclear Theory · Physics 2011-07-21 J. M. Alarcón , J. Martín Camalich , J. A. Oller , L. Alvarez-Ruso

We propose and study a continuum model for the dynamics of amorphizable surfaces undergoing ion-beam sputtering (IBS) at intermediate energies and oblique incidence. After considering the current limitations of more standard descriptions in…

Materials Science · Physics 2009-11-13 Javier Muñoz-García , Rodolfo Cuerno , Mario Castro

The X-ray brightness delivered by fourth-generation light sources strongly depends on the electron beam current and transverse emittance. Reaching higher brilliance and lower emittances are increasingly limited by intra beam scattering,…

Accelerator Physics · Physics 2026-04-03 Sébastien Joly , Jonas Kallestrup , Félix Soubelet

The problem of imaging extended targets (sources or scatterers) is formulated in the framework of compressed sensing with emphasis on subwavelength resolution. The proposed formulation of the problems of inverse source/scattering is…

Optics · Physics 2009-09-15 Albert C. Fannjiang

In this paper, an unrolling algorithm of the iterative subspace-based optimization method (SOM) is proposed for solving full-wave inverse scattering problems (ISPs). The unrolling network, named SOM-Net, inherently embeds the Lippmann-…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Yu Liu , Hao Zhao , Rencheng Song , Xudong Chen , Chang Li , Xun Chen

The current literature on intelligent reflecting surface (IRS) focuses on optimizing the IRS phase shifts to yield coherent beamforming gains, under the assumption of perfect channel state information (CSI) of individual IRS-assisted links,…

Information Theory · Computer Science 2021-03-19 Qurrat-Ul-Ain Nadeem , Alessio Zappone , Anas Chaaban

In this paper we introduce a new fix point iteration scheme for solving nonlinear electromagnetic scattering problems. The method is based on a spectral formulation of Maxwell's equations called the Bidirectional Pulse Propagation…

Classical Physics · Physics 2026-03-27 Per Kristen Jakobsen

For coupled-channel resonance scattering we derive a model with a closed form solution for the $T$-matrix that satisfies unitarity and analyticity. The two-channel case is handled explicitly for an arbitrary number of resonances. The method…

Nuclear Theory · Physics 2009-11-07 N. E. Ligterink

This article studies the rational solutions of the Half-Wave Maps equation (HWM) in the non-singular spectrum case. We first provide characterizations to what we call \emph{scattering behavior}, and show that they imply scattering in…

Analysis of PDEs · Mathematics 2025-03-03 Gaspard Ohlmann

Radio pulsars exhibit several unexplained phenomena, in particular the average pulse profiles with the apparent core-cone structure and interesting frequency evolution. I show that they can be interpreted through essential geometric…

High Energy Astrophysical Phenomena · Physics 2023-04-26 J. Dyks

A variety of problems in device and materials design require the rapid forward modeling of Maxwell's equations in complex micro-structured materials. By combining high-order accurate integral equation methods with classical multiple…

Numerical Analysis · Mathematics 2011-04-29 Zydrunas Gimbutas , Leslie Greengard

We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flux estimates on the light cone. Then by the characteristic…

Analysis of PDEs · Mathematics 2024-04-23 Changxing Miao , Ruipeng Shen , Tengfei Zhao

A generalized Wigner-Moyal statistical theory of radiation is used to obtain a general dispersion relation for Stimulated Brillouin Scattering (SBS) driven by a broadband radiation field with arbitrary statistics. The monochromatic limit is…

Plasma Physics · Physics 2021-09-01 B. Brandão , J. E. Santos , R. M. G. M. Trines , R. Bingham , L. O. Silva

We present the Minkowski space solutions of the inhomogeneous Bethe-Salpeter equation for spinless particles with a ladder kernel. The off-mass shell scattering amplitude is first obtained.

High Energy Physics - Phenomenology · Physics 2015-06-11 V. A. Karmanov , J. Carbonell

The real-space multiple-scattering (RSMS) approach is applied to model non-resonant inelastic scattering from deep core electron levels over a broad energy spectrum. This approach is applicable to aperiodic or periodic systems alike and…

Other Condensed Matter · Physics 2009-11-11 J. A. Soininen , A. L. Ankudinov , J. J. Rehr