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In this paper we consider the electromagnetic scattering problem by an obstacle characterised by a Generalized Impedance Boundary Condition in the harmonic regime. These boundary conditions are well known to provide accurate models for thin…

偏微分方程分析 · 数学 2013-12-05 Nicolas Chaulet

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

凝聚态物理 · 物理学 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

介观与纳米尺度物理 · 物理学 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

原子物理 · 物理学 2022-09-20 A. S. Baltenkov , I. Woiciechowski

The direct transition-matrix approach to determination of the electric polarizabilities of quantum bound systems developed in my recent work is applied to study the electric multipole polarizabilities of a two-particle bound complex with a…

核理论 · 物理学 2015-06-11 V. F. Kharchenko

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

数值分析 · 数学 2023-10-30 Jörg Nick

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

高能物理 - 理论 · 物理学 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

The problem of electromagnetic scattering by cylinders is an old problem that has been studied in many configurations. The present publication provides a theoretical study on a not yet investigated general case: the set of finite metallic…

计算物理 · 物理学 2026-03-31 Matthieu Elineau , Lucille Kuhler , Alexandre Chabory

We present a boundary integral formulation of electromagnetic scattering by homogeneous bodies that are characterized by linear constitutive equations in the frequency domain. By working with the Cartesian components of the electric, E and…

计算物理 · 物理学 2018-12-18 Qiang Sun , Evert Klaseboer , Derek Y. C. Chan

The influence of the energy dependence of the free NN t-matrix on the optical potential of nucleon-nucleus elastic scattering is investigated within the context of a full-folding model based on the impulse approximation. The treatment of…

核理论 · 物理学 2008-11-26 Ch. Elster , S. P. Weppner

The transport of charged particles or photons in a scattering medium can be modelled with a Boltzmann equation. The mathematical treatment for scattering in such scenarios is often simplified if evaluated in a frame where the scattering…

等离子体物理 · 物理学 2024-02-27 Nils W. Schween , Brian Reville

We consider the direct electromagnetic scattering problem of time-harmonic obliquely incident waves by a infinitely long, homogeneous and doubly-connected cylinder in three dimensions. We apply a hybrid integral equation method (combination…

偏微分方程分析 · 数学 2019-07-08 Leonidas Mindrinos

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 $\gamma$.…

光学 · 物理学 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

The different facets of the $R$-matrix method are presented pedagogically in a general framework. Two variants have been developed over the years: $(i)$ The "calculable" $R$-matrix method is a calculational tool to derive scattering…

核理论 · 物理学 2015-05-14 P. Descouvemont , D. Baye

Advanced computational tools that describe the interaction of electrons with structured nanophotonic materials are crucial for theoretical predictions, specific design tasks, and the interpretation of experimental results. These tools open…

计算物理 · 物理学 2026-02-16 P. Elli Stamatopoulou , Carsten Rockstuhl

Electromagnetic response of PT-dipole is studied both analytically and numerically. In analytical approach, dipole is represented by two point scatterers. Within the first Born approximation, the asymmetry of the scattering field with…

光学 · 物理学 2017-10-26 K. Staliunas , P. Markoš , V. Kuzmiak

Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We…

高能物理 - 理论 · 物理学 2020-12-02 Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira

We investigate T-matrix for bound and continuous-spectrum states in the discrete oscillator representation. The investigation is carried out for a model problem - the particle in the field of a central potential. A system of linear…

核理论 · 物理学 2015-04-23 V. S. Vasilevsky , M. D. Soloha-Klymchak

In this paper we investigate the spectral and scattering theory for operators acting on topological crystals and on their perturbations. A special attention is paid to perturbations obtained by the addition of an infinite number of edges,…

数学物理 · 物理学 2022-05-25 S. Richard , N. Tsuzu

In this work, we provide a complete description of the scattering matrix elements and electron energy spectrum in one dimensional PT-symmetric hybrid finite systems, using the characteristic determinant approach. We present an analytical…

介观与纳米尺度物理 · 物理学 2026-05-05 Vladimir Gasparian , Esther Jódar , Antonio Pérez-Garrido