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We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

介观与纳米尺度物理 · 物理学 2015-05-13 Thomas Wellens , Benoit Gremaud

The features of the scattering of massive neutral particles propagating in the field of a gravitational plane wave are compared with those characterizing their interaction with an electromagnetic radiation field. The motion is geodesic in…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Donato Bini , Andrea Geralico , Maria Haney , Robert T. Jantzen

We investigate the interplay between amplitude and square-gradient scattering from the rough surfaces in multi-mode waveguides (conducting quantum wires). The main result is that for any (even small in height) roughness the square-gradient…

无序系统与神经网络 · 物理学 2009-11-11 F. M. Izrailev , N. M. Makarov

All metamaterial applications are based upon the idea that extreme material properties can be achieved through appropriate dynamic homogenization of composites. This homogenization is almost always done for infinite domains and the results…

材料科学 · 物理学 2017-07-05 Ankit Srivastava , John R. Willis

Pulsar dynamic spectra exhibit high visibility fringes arising from interference between scattered radio waves. These fringes may be random or highly ordered patterns, depending on the nature of the scattering or refraction. Here we…

天体物理学 · 物理学 2009-11-10 Mark Walker , Dan Stinebring

In this work we study the wave scattering by small dispersionless particles with pulsating refractive index. The scattered fields and their resonance frequencies are calculated by using scalar approximation and exponentially time-dependent…

光学 · 物理学 2023-10-12 V. V. Prosentsov

Fourier methods well known in signal processing are applied to three-dimensional wave propagation problems. The Fourier transform of the Green function, when written explicitly in terms of a real-valued spatial frequency, consists of…

光学 · 物理学 2014-01-21 Colin J. R. Sheppard , Shan Shan Kou , Jiao Lin

When two non-interacting plane impulsive gravitational waves undergo a head-on collision, the vacuum interaction region between the waves after the collision contains backscattered gravitational radiation from both waves. The two systems of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 C. Barrabès , G. F. Bressange , P. A. Hogan

This paper proposes, for wave propagating in a globally perturbed half plane with a perfectly conducting step-like surface, a sharp Sommerfeld radiation condition (SRC) for the first time, an analytic formula of the far-field pattern, and a…

数值分析 · 数学 2020-05-13 Wangtao Lu

A tutorial discussion of the propagation of waves in random media is presented. In first approximation the transport of the multiple scattered waves is given by diffusion theory, but important corrections are present. These corrections are…

介观与纳米尺度物理 · 物理学 2009-10-31 M. C. W. van Rossum , Th. M. Nieuwenhuizen

For problems of time-harmonic scattering by polygonal obstacles, embedding formulae provide a useful means of computing the far-field coefficient induced by any incident plane wave, given the far-field coefficient of a relatively small set…

数值分析 · 数学 2018-05-24 Andrew Gibbs , Stephen Langdon , Andrea Moiola

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

光学 · 物理学 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

This paper introduces a new Windowed Green Function (WGF) method for the numerical integral-equation solution of problems of electromagnetic scattering by obstacles in presence of dielectric or conducting half-planes. The WGF method, which…

计算物理 · 物理学 2015-08-05 Oscar Bruno , Mark Lyon , Carlos Perez-Arancibia , Catalin Turc

Generalized impedance boundary conditions are effective, approximate boundary conditions that describe scattering of waves in situations where the wave interaction with the material involves multiple scales. In particular, this includes…

数值分析 · 数学 2020-05-29 Lehel Banjai , Christian Lubich , Joerg Nick

We consider the scattering of linear waves in two dimensions by a rectangular region at the junction of four waveguides. A solution to the frequency domain problem is obtained by exploiting reflective symmetry to reduce the full problem to…

数学物理 · 物理学 2024-11-28 Afnan A. Aldosri , Michael H. Meylan , Ben Wilks

The interaction between radiation and superconductors is explored in this paper. In particular, the calculation of a plane standing wave scattered by an infinite cylindrical superconductor is performed by solving the Helmholtz equation in…

超导电性 · 物理学 2012-02-23 Miguel C. N. Fiolhais , Hanno Essén

Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Among the many challenges that arise in such calculations are the avoidance of spurious…

数值分析 · 数学 2025-07-17 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

We show how to calculate the first- and second-order statistics of the scattered fields for an arbitrary intensity coherent state light field interacting with a two-level system in a waveguide geometry. Specifically, we calculate the…

光学 · 物理学 2012-02-17 Şükrü Ekin Kocabaş , Eden Rephaeli , Shanhui Fan

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

介观与纳米尺度物理 · 物理学 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

A theory for multiple scattering of elastic waves is presented in a random medium bounded by two ideal free surfaces, whose horizontal size is infinite and whose transverse size is smaller than the mean free path of the waves. This geometry…

介观与纳米尺度物理 · 物理学 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen