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The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this…

数值分析 · 数学 2022-02-04 Jörg Nick , Balázs Kovács , Christian Lubich

Radiation of a charged particle moving parallel to a inhomogeneous surface is considered. Within a single formalism periodic and random gratings are examined. For the periodically inhomogeneous surface we derive new expressions for the…

加速器物理 · 物理学 2010-10-12 Zh. S. Gevorkian

We propose a time-domain boundary integral method to model linear wave propagation with refractive, focusing, and Doppler effects arising from medium heterogeneities and moving obstacles. In contrast to existing techniques, our method…

数值分析 · 数学 2026-05-13 Raaghav Ramani

The response of an arbitrary scattering problem to quasi-static perturbations in the scattering potential is naturally expressed in terms of a set of local partial densities of states and a set of sensitivities each associated with one…

凝聚态物理 · 物理学 2009-10-28 V. Gasparian , T. Christen , M. Buttiker

A periodizing scheme and the method of fundamental solutions are used to solve acoustic wave scattering from doubly-periodic three-dimensional multilayered media. A scattered wave in a unit cell is represented by the sum of the near and…

数值分析 · 数学 2019-06-26 Min Hyung Cho

We theoretically address the impact of a random distribution of non-magnetic impurities on the surface states formed at the interface between a trivial and a topological insulator. The interaction of electrons with the impurities is…

介观与纳米尺度物理 · 物理学 2020-10-15 José Luis Hernando , Yuriko Baba , Elena Díaz , Francisco Domínguez-Adame

This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by "locally-rough surfaces" (i.e., local perturbations of a half space), under either Dirichlet or Neumann boundary…

计算物理 · 物理学 2021-02-03 Oscar P. Bruno , Tao Yin

Wave scattering from rough surfaces in addition the inverse scattering is an interesting approach to obtain the surface topography properties in various fields. Analytical expression in wave scattering from some known rough surfaces, not…

光学 · 物理学 2013-01-15 M. Zamani , M. Salami , S. M. Fazeli , G. R. Jafari

Reflection and transmission of waves in piecewise constant layered media are important in various imaging modalities and have been studied extensively. Despite this, no exact time domain formulas for the Green's functions have been…

组合数学 · 数学 2013-05-20 Peter C. Gibson

Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order $O(a)$…

数学物理 · 物理学 2011-01-25 A. G. Ramm

A theoretical analysis of the statistical distributions of the reflected intensities from random media is presented. We use random matrix theory to analytically deduce the probability densities in the localization regime. Numerical…

无序系统与神经网络 · 物理学 2009-10-31 A. Garcia-Martin , T. Lopez-Ciudad , J. J. Saenz , M. Nieto-Vesperinas

A rigorous method of calculating the electromagnetic field, the scattering matrix, and scattering cross-sections of an arbitrary finite three-dimensional optical system described by its permittivity distribution is presented. The method is…

光学 · 物理学 2018-09-26 S. V. Lobanov , W. Langbein , E. A. Muljarov

Traditional boundary integral methods suffer from the singularity of Green's kernels. The paper develops, for a model problem of 2D scattering as an illustrative example, singularity-free boundary difference equations. Instead of converting…

计算物理 · 物理学 2015-05-18 Igor Tsukerman

This work reports the conditions under which weak scattering assumptions can be applied in a beam loaded by multiple resonators supporting both longitudinal and flexural waves. The work derives the equations of motion of a one-dimensional…

应用物理 · 物理学 2024-10-02 Mario Lázaro , Richard Wiltshaw , Richard V. Craster , Vicent Romero-García

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the…

经典物理 · 物理学 2022-12-01 Adel Messaoudi , Regis Cottereau , Christophe Gomez

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

原子物理 · 物理学 2022-08-01 A. S. Baltenkov , I. Woiciechowski

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency…

介观与纳米尺度物理 · 物理学 2010-10-26 Pascal Degiovanni , Charles Grenier , Gwendal Fève , Carles Altimiras , Hélène Le Sueur , Frédéric Pierre

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

无序系统与神经网络 · 物理学 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

We develop a transfer-matrix formulation of the scattering of electromagnetic waves by a general isotropic medium which makes use of a notion of electromagnetic transfer matrix $\mathbf{M}$ that does not involve slicing of the scattering…

量子物理 · 物理学 2020-09-24 Farhang Loran , Ali Mostafazadeh

Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. The small scatterers can be particles whose physical properties are described by the boundary impedances, or they can be small…

数学物理 · 物理学 2011-01-25 A. G. Ramm