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The numerically stable evaluation of scattering matrix elements near the infrared limit of gauge theories is of great importance for the success of collider physics experiments. We present a novel algorithm that utilizes double precision…

High Energy Physics - Phenomenology · Physics 2024-10-04 Enrico Bothmann , John M. Campbell , Stefan Höche , Max Knobbe

A new approach is developed within the first-order Born approximation to light scattering from a collection of particles with $\mathcal{L}$ types. Two $\mathcal{L}\times\mathcal{L}$ matrices called pair-potential matrix (PPM) and…

Optics · Physics 2023-07-19 Yi Ding

Ladder polymers, known for their rigid, ladder-like structures, exhibit exceptional thermal stability and mechanical strength, positioning them as candidates for advanced applications. However, accurately determining their structure from…

Soft Condensed Matter · Physics 2025-05-23 Lijie Ding , Chi-Huan Tung , Zhiqiang Cao , Zekun Ye , Xiaodan Gu , Yan Xia , Wei-Ren Chen , Changwoo Do

The scattering of polarized light incident from one dielectric medium on its two-dimensional randomly rough interface with a second dielectric medium is studied. A reduced Rayleigh equation for the scattering amplitudes is derived for the…

The formalism to describe the scattering of a weakly bound projectile nucleus by a heavy target is investigated, using the Uncorrelated Scattering Approximation. The main assumption involved is to neglect the correlation between the…

Nuclear Theory · Physics 2009-11-10 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

We introduce a numerical method that enables efficient modelling of light scattering by large, disordered ensembles of non-spherical particles incorporated in stratified media, including when the particles are in close vicinity to each…

We present a semiclassical S-matrix study of inelastic collinear electron-hydrogen scattering. A simple way to extract all necessary information from the deflection function alone without having to compute the stability matrix is described.…

Atomic Physics · Physics 2009-11-06 Gerd van de Sand , Jan M Rost

A relativistic analysis of the polarization properties of light elastically scattered by atomic hydrogen is performed, based on the Dirac equation and second order perturbation theory. The relativistic atomic states used for the…

By decoupling the geometric from the dynamical contributions in the scattering processes, we develop a method to compute the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. In particular,…

Quantum Physics · Physics 2025-12-10 Lorenzo Bagnasacco , Fabio Taddei , Vittorio Giovannetti

We consider light propagation through a twisted nematic liquid crystal. At first, an expression for light transmission is obtained using a rather intuitive approach. Secondly, an accurate solution for light transmission based on Maxwell's…

Optics · Physics 2017-05-09 Nadina Gheorghiu , George Y. Panasyuk

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

The density matrix is obtained for short-wavelength photons passing through a medium. For sufficiently large thicknesses of a target this matrix is expressed by the forward scattering amplitude of a photon. For multi-GeV photons scattering…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. M. Strakhovenko

In this paper we study the combined effects of size and shape of small solid state particles on the absorption, emission and scattering characteristics. We use the statistical approach to calculate these optical properties. In this approach…

Astrophysics · Physics 2009-11-10 M. Min , J. W. Hovenier , A. de Koter

Scattering of starlight by dust, molecules and electrons in spiral galaxies will produce a modification of the direct intensity and a polarization in the observed light. We treat the case where the distribution of scatterers can be…

Astrophysics · Physics 2009-10-31 J. F. L. Simmons , E. Audit

We investigate the scattering of 2D cylindrical invisibility cloaks with simplified constitutive parameters with the assistance of scattering coefficients. We show that the scattering of the cloaks originates not only from the boundary…

Optics · Physics 2011-03-14 Liang Peng , Lixin Ran , N. Asger Mortensen

Light scattering from self-affine homogeneous isotropic random rough surfaces is studied using the ray-optics approximation. Numerical methods are developed to accelerate the first-order scattering simulations from surfaces represented as…

Optics · Physics 2020-10-09 Hannu Parviainen , Karri Muinonen

There are indications that interstellar and interplanetary dust grains have an inhomogeneous and fluffy structure. We investigate different methods to describe light scattering by such composite particles. Both a model of layered particles…

Astrophysics · Physics 2009-11-10 N. V. Voshchinnikov , V. B. Il'in , Th. Henning

This paper focuses on the scaling of the S-matrix for elastic nucleon-nucleon scattering at large Nc. It is argued that the logarithm of a typical S-matrix element is proportional to Nc in the regime where the large Nc limit is taken with…

Nuclear Theory · Physics 2013-11-20 Thomas D. Cohen , Vojtěch Krejčiřík

When light travels through scattering media, speckles (spatially random distribution of fluctuated intensities) are formed due to the interference of light travelling along different optical paths, preventing the perception of structure,…

Optics · Physics 2020-06-15 Honglin Liu , Xin Wang , Puxiang Lai , Zhentao Liu , Jianhong Shi , Shensheng Han

Modified Rayleigh conjecture (MRC) in scattering theory is proposed and justified. MRC allows one to develop numerical algorithms for solving direct scattering problems related to acoustic wave scattering by soft and hard obstacles of…

Mathematical Physics · Physics 2009-11-10 A. G. Ramm