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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

Electromagnetic wave scattering from a perfectly reflecting self-affine surface is considered. Within the framework of the Kirchhoff approximation, we show that the scattering cross section can be exactly written as a function of the…

统计力学 · 物理学 2010-05-05 Ingve Simonsen , Damien Vandembroucq , Stephane Roux

By the use of Green's second integral identity we determine the field scattered from a two-dimensional randomly rough isotropic or anisotropic Dirichlet or Neumann surface when it is illuminated by a scalar Gaussian beam. The integral…

We derive an analytical expression for the scattering of a scalar wave from a perfectly conducting self-affine one dimensional surface in the framework of the Kirchhoff approximation. We show that most of the results can be recovered via a…

其他凝聚态物理 · 物理学 2009-11-10 Ingve Simonsen , Damien Vandembroucq , Stephane Roux

The diffraction of a scalar plane wave from a doubly-periodic surface on which either the Dirichlet or Neumann boundary condition is imposed is studied by means of a rigorous numerical solution of the Rayleigh equation for the amplitudes of…

An accurate and efficient numerical simulation approach to electromagnetic wave scattering from two-dimensional, randomly rough, penetrable surfaces is presented. The use of the M\"uller equations and an impedance boundary condition for a…

光学 · 物理学 2010-06-03 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by…

数学物理 · 物理学 2024-07-09 Josselin Garnier , Basant Lal Sharma

The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of finite support in the other is considered. The scattering…

数学物理 · 物理学 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez

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

In this paper, scattering of incident plane waves from rough surfaces have been modeled in a fractional space. It is shown how wave scattering from a rough surface, could be a simple reflection problem in a fractional space. In the integer…

光学 · 物理学 2013-05-31 H. Safdari , M. Vahabi , G. R. Jafari

In this paper, a two-dimensional Dirichlet-to-Neumann (DtN) finite element method (FEM) is developed to analyze the scattering of SH guided waves due to an interface delamination in a bi-material plate. During the finite element analysis,…

数值分析 · 数学 2024-07-23 Chen Yang , Ruigang Qin , Sohichi Hirose , Bin Wang , Zhenghua Qian

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

光学 · 物理学 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen

Consider the two-dimensional inverse elastic wave scattering by an infinite rough surface with a Dirichlet boundary condition. A non-interative sampling technique is proposed for detecting the rough surface by taking elastic wave…

偏微分方程分析 · 数学 2020-12-15 Tielei Zhu , Jiaqing Yang

The diffraction spectrum of coherent waves scattered from fractal supports is calculated exactly. The fractals considered are of the class generated iteratively by successive dilations and translations, and include generalizations of the…

凝聚态物理 · 物理学 2009-10-28 Daniel A. Hamburger-Lidar

We study the effect of surface scattering on transport properties in many-mode conducting channels (electron waveguides). Assuming a strong roughness of the surface profiles, we show that there are two independent control parameters that…

无序系统与神经网络 · 物理学 2009-11-10 F. M. Izrailev , N. M. Makarov , M. Rendon

We propose a new method for calculating reflection and transmission coefficients for an arbitrarily polarized electromagnetic plane wave incident on a one-dimensional dielectric medium of finite thickness and with dielectric permittivity…

光学 · 物理学 2022-04-27 N. A. Vanyushkin , A. H. Gevorgyan , S. S. Golik

The scattering of polarized light incident from one dielectric medium on its two-dimensional randomly rough interface with a second dielectric medium is studied. A reduced Rayleigh equation for the scattering amplitudes is derived for the…

光学 · 物理学 2016-05-17 Øyvind S. Hetland , Alexei A. Maradudin , Tor Nordam , Ingve Simonsen

Diffuse scattering of electromagnetic waves from natural and artificial surfaces has been extensively studied in various disciplines, including radio wave propagation, and several diffuse scattering models based on different approaches have…

信号处理 · 电气工程与系统科学 2023-07-19 Enrico M. Vitucci , Nicolò Cenni , Franco Fuschini , Vittorio Degli-Esposti

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…

光学 · 物理学 2010-05-04 Ingve Simonsen , Alexei A. Maradudin , Tamara A. Leskova

We consider the numerical algorithm for the two-dimensional time-harmonic elastic wave scattering by unbounded rough surfaces with Dirichlet boundary condition. A Nystr\"{o}m method is proposed for the scattering problem based on the…

数值分析 · 数学 2021-08-06 Jianliang Li , Xiaoli Liu , Bo Zhang , Haiwen Zhang
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