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The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

Analysis of PDEs · Mathematics 2018-06-21 Lorenzo Baldassari

The polarization properties of the elastic electron scattering on H-like ions are investigated within the framework of the relativistic QED theory. The polarization properties are determined by a combination of relativistic effects and spin…

Atomic Physics · Physics 2021-11-24 D. M. Vasileva , K. N. Lyashchenko , A. B. Voitkiv , D. Yu , O. Yu. Andreev

We analyse the scattering operator associated with the defocusing nonlinear Schr{\"o}dinger equation which captures the evolution of solutions over an infinite time-interval under the nonlinear flow of this equation. The asymptotic nature…

Analysis of PDEs · Mathematics 2026-04-08 Rémi Carles , Georg Maierhofer

A problem of monoenergetic particles pulse reflection from half-infinite stratified medium is considered in conditions of elastic scattering with absorbtion account. The theory is based on multiple scattering series solution of Kolmogorov…

Mathematical Physics · Physics 2011-12-15 Sergey Leble , Alexei Buzdin

Compact radio sources have been observed to undergo large, frequency dependent changes in intensity due to lensing by structures in the interstellar medium, in so-called "extreme scattering events" (ESEs). While the study of astrophysical…

High Energy Astrophysical Phenomena · Physics 2022-06-22 Dylan L. Jow , Ue-Li Pen

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

Formulas to describe the photoabsorption and the photon scattering by a plasma or a liquid metal are derived in a unified manner with each other. It is shown how the nuclear motion, the free-electron motion and the core-electron behaviour…

Materials Science · Physics 2009-10-31 Junzo Chihara

Numerical integration of ODEs by standard numerical methods reduces a continuous time problems to discrete time problems. Discrete time problems have intrinsic properties that are absent in continuous time problems. As a result, numerical…

Dynamical Systems · Mathematics 2015-06-04 Anatoly Neishtadt , Tan Su

The speed of quantum random number generators is a major concern for practical quantum applications. However, the bit extraction process limits the final bit rate due to lack of comparably fast electronics. Here we introduce optical…

Quantum Physics · Physics 2019-09-12 Abdulrahman Dandasi , Helin Ozel , Orkun Hasekioglu , Kadir Durak

We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the Euclidian space. For this purpose, we will build a non trivial measure on distributions such that there exists a set of…

Analysis of PDEs · Mathematics 2012-05-22 Anne-Sophie de Suzzoni

Scattering problem by several bodies, small in comparison with the wavelength, is reduced to linear algebraic systems of equations, in contrast to the usual reduction to some integral equations.

Mathematical Physics · Physics 2015-06-26 A. G. Ramm

A Monte Carlo light scattering code incorporating aligned non-spherical particles is described. The major effects on the flux distribution, linear polarisation and circular polarisation are presented, with emphasis on the application to…

Astrophysics · Physics 2009-11-07 P. W. Lucas

Many components that are employed in quantum information and communication systems are well known photonic devices encountered in standard optical fiber communication systems, such as optical beamsplitters, waveguide couplers and junctions,…

Quantum Physics · Physics 2011-03-25 Jose Capmany , Carlos R. Fernandez-Pousa

Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood as a solution of a potential scattering problem with the…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm , S. Gutman

Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the Beam Propagation Method, and direct solution of the Lippmann-Schwinger equation. However,…

Optics · Physics 2022-10-19 Subeen Pang , George Barbastathis

We consider the process of light scattering by optical solitons in a planar waveguide with homogeneous and inhomogeneous refractive index core. We observe resonant reflection (Fano resonances) as well as resonant transmission of light by…

Pattern Formation and Solitons · Physics 2007-05-23 S. Flach , V. Fleurov , A. V. Gorbach , A. E. Miroshnichenko

In this paper, we investigate two types of time-harmonic elastic wave scattering problems. The first one involves the scattered wave generated by an active elastic source with compact support. The second one concerns elastic wave scattering…

Analysis of PDEs · Mathematics 2025-08-11 Huaian Diao , Xiaoxu Fei , Hongyu Liu

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

Numerical Analysis · Mathematics 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

Collective effects in atom-light interaction is of great importance for cold-atom-based quantum devices or fundamental studies on light transport in complex media. Here we discuss and compare three different approaches to light scattering…

Atomic Physics · Physics 2019-07-12 Igor M. Sokolov , William Guerin

Optical near fields are at the heart of various applications in sensing and imaging. We investigate dipole scattering as a parameter estimation problem and show that optical near-fields carry more information about the location and the…

Quantum Physics · Physics 2024-06-18 Lukas Kienesberger , Thomas Juffmann , Stefan Nimmrichter