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We analyze the scattering of linear internal waves in a two dimensional channel with subcritical bottom topography. We construct the scattering matrix for the internal wave problem in a channel with straight ends, mapping incoming data to…

Analysis of PDEs · Mathematics 2025-02-21 Zhenhao Li , Jian Wang , Jared Wunsch

The coupled-channel model [Phys. Rev. A {\bf 59}, 363 (1999)] that yields converged low-energy phase shifts, and exact binding and resonance features in Ps-H [Phys. Rev. A {\bf 59}, 2058 (1999)] is applied to study Ps-He$^+$ scattering.…

Atomic Physics · Physics 2007-05-23 P K Biswas , H. M. Gupta

Nuclear shadowing corrections to the structure functions of deep inelastic scattering of intermediate-mass nuclei are calculated at very low values of Bjorken x and small values of Q^2 (Q^2<5 GeV^2). The two-component approach (generalized…

High Energy Physics - Phenomenology · Physics 2015-12-16 Edgar V. Bugaev , Boris V. Mangazeev

Scattering by an isolated defect embedded in a dielectric medium of two dimensional periodicity is of interest in many sub-fields of electrodynamics. Present approaches to compute this scattering rely either on the Born approximation and…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Kuljit S. Virk

We formulate an S-matrix theory in which localisation effects of the particle interactions involved in a scattering process are consistently taken into account. In the limit of an infinite spread of all interactions, the S-matrix assumes…

High Energy Physics - Theory · Physics 2023-08-16 Dimitrios Karamitros , Apostolos Pilaftsis

This letter addresses the synthesis of reflective cells approaching a given desired Floquet's scattering matrix. This work is motivated by the need to obtain much finer control of reflective metasurfaces by controlling not only their…

The direct transition-matrix approach to the description of the electric polarization of the quantum bound system of particles is used to determine the electric multipole polarizabilities of the hydrogen-like atoms. It is shown that in the…

Atomic Physics · Physics 2014-10-30 V. F. Kharchenko

We address the scattering problem in two-dimensional integrable models, focusing on the sine-Gordon theory. We use the S-matrix bootstrap approach based on analytical properties of the S-matrix to compute scattering amplitudes of the…

High Energy Physics - Theory · Physics 2023-11-29 Valeriia Stolbova

We study cubic differentials and their spectral networks on Riemann surfaces, focusing on the polynomial case on the Riemann sphere. We introduce the notion of spectral core as the primary tool for our study, refining the classical notion…

Algebraic Geometry · Mathematics 2025-07-11 Omar Kidwai , Guillaume Tahar

A new approach is described to the evaluation of the S-matrix in three-dimensional atom-diatom reactive quantum scattering theory. The theory is developed based on natural collision coordinates where progress along the reaction coordinate…

Chemical Physics · Physics 2007-05-23 Ashot S. Gevorkyan , Gabriel G. Balint-Kurti , Gunnar Nyman

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

We calculate shadowing in the process of deep inelastic interactions of leptons with nuclei in the perturbative regime of QCD. We find appreciable shadowing for heavy nuclei (e.g. Pb) in the region of small Bjorken scaling variable…

High Energy Physics - Phenomenology · Physics 2009-10-30 Andrzej Bialas , Wieslaw Czyz , Wojciech Florkowski

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

We present two backscattering polarimetric scanning setups based on point-illumination schemes, that are designed to probe the optical properties of subsurface media. We describe their advantages and limitations, characterize their…

The direction angle of twilight sky background polarization in the celestial sphere points far from solar vertical is found to depend on the ratio of single and multiple scattering contributions. The polarization direction behavior during…

Atmospheric and Oceanic Physics · Physics 2015-03-06 Oleg S. Ugolnikov , Igor A. Maslov

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

We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in [1, 2]. It was shown in [3] that scattering matrices of such graphs have the same spectrum and polar structure, provided that infinite…

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

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

Shadows encode rich information about scene geometry and illumination, yet existing methods either predict a unified shadow mask or overlook attached shadows entirely. We address this gap by proposing a framework for jointly detecting cast…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Shilin Hu , Jingyi Xu , Sagnik Das , Dimitris Samaras , Hieu Le

By a computer simulation approach we study the scattering of $p$- or $s$-polarized light from a two-dimensional, randomly rough, perfectly conducting surface. The pair of coupled inhomogeneous integral equations for two independent…

Optics · Physics 2010-05-04 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova