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To describe the energy transport in the seismic coda, we introduce a system of radiative transfer equations for coupled surface and body waves in a scalar approximation. Our model is based on the Helmholtz equation in a half-space geometry…

地球物理 · 物理学 2019-09-04 Ludovic Margerin , Andres Bajaras , Michel Campillo

The Rayleigh conjecture about convergence up to the boundary of the series representing the scattered field in the exterior of an obstacle $D$ is widely used by engineers in applications. However this conjecture is false for some obstacles.…

数值分析 · 数学 2007-05-23 A. G. Ramm , S. Gutman

Elastic wave propagation is studied in a heterogeneous 2-D medium consisting of an elastic matrix containing randomly distributed circular elastic inclusions. The aim of this study is to determine the effective wavenumbers when the incident…

经典物理 · 物理学 2016-06-29 Mathieu Chekroun , Loïc Le Marrec , Bruno Lombard , Joël Piraux

The inclusive probability to record an electron in elastic electromagnetic scattering of an electron by a spin one-half hadron is obtained, the initial quantum states of the electron and the hadron being described by the density matrices of…

高能物理 - 唯象学 · 物理学 2023-12-08 P. O. Kazinski , D. I. Rubtsova , A. A. Sokolov

A method based on the Rayleigh-Sommerfeld surface integral is provided, which makes it feasible to rigorously model, evaluate and compute the acoustic scattering and other mechanical effects of finite-aperture vortex beams such as the…

经典物理 · 物理学 2020-07-21 F. G. Mitri

In this tutorial paper, we consider the problem of electromagnetic scattering by a bounded two-dimensional dielectric object, and discuss certain interesting properties of the scattered field. Using the electric field integral equation,…

光学 · 物理学 2015-07-08 Uday K. Khankhoje , Kushal Shah

Seismic coda waves, once regarded as noise, are now recognized as key indicators of wave scattering in seismograms. Aki (1969) first proposed that these waves result from small-scale heterogeneities in the Earth's interior, spurring…

地球物理 · 物理学 2025-07-11 Ning Liu , Wen-Tao Hu

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

In the framework of multiple-scattering theory, we show that the dispersion relations of certain electromagnetic (EM) and elastic metamaterials can be obtained analytically in the long-wavelength limit. Specific examples are given to the…

材料科学 · 物理学 2011-09-06 Ying Wu , Zhao-Qing Zhang

This work presents an efficient method for evaluation of wave scattering by doubly periodic diffraction gratings at or near "Wood anomaly frequencies". At these frequencies, one or more grazing Rayleigh waves exist, and the lattice sum for…

偏微分方程分析 · 数学 2018-02-07 Oscar P. Bruno , Stephen P. Shipman , Catalin Turc , Stephanos Venakides

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…

The hydroelastic response of free floating viscoelastic covers is measured using Faraday waves on the surface of a vertically oscillated fluid layer. We systematically vary the thickness $d$ of the covers to investigate its effect on the…

流体动力学 · 物理学 2026-05-19 Hanna Pot , Bram Christiaens , Willem van de Water

Mesoscopic interference effects in multiple scattering of photons depend crucially on the internal structure of the scatterers. In the present article, we develop the analytical theory of multiple photon scattering by cold atoms with…

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

The integrated extinction (IE) is defined as the integral of the scattering cross-section as a function of wavelength. Sohl et al. [1] derived an IE expression for acoustic scattering that is causal, i.e. the scattered wavefront in the…

经典物理 · 物理学 2015-08-19 Andrew N. Norris

The electromagnetic scattering properties of topological insulator (TI) spheres are systematically studied in this paper. Unconventional backward scattering caused by the topological magneto-electric (TME) effect of TIs are found in both…

光学 · 物理学 2017-03-16 Lixin Ge , Dezhuan Han , Jian Zi

Acoustic scattering from layered seafloors exhibits dependence on both the mean geoacoustic layering, as well as the roughness properties of each layer. Several theoretical treatments of this environment exist, including the small roughness…

计算物理 · 物理学 2020-12-02 Derek R. Olson , Darrell Jackson

We test a subgrid-scale spectral model of rotating turbulent flows against direct numerical simulations. The particular case of Taylor-Green forcing at large scale is considered, a configuration that mimics the flow between two counter…

流体动力学 · 物理学 2008-12-11 J. Baerenzung , P. D. Mininni , A. Pouquet , H. Politano , Y. Ponty

A rigorous mathematical model and an efficient computational method are proposed to solving the inverse elastic surface scattering problem which arises from the near-field imaging of periodic structures. We demonstrate how an enhanced…

偏微分方程分析 · 数学 2017-12-08 Huaian Diao , Peijun Li , Xiaokai Yuan

The elastic Rayleigh scattering of twisted light and, in particular, the polarization (transfer) of the scattered photons have been analyzed within the framework of second-order perturbation theory and Dirac's relativistic equation. Special…

原子物理 · 物理学 2018-05-23 A. A. Peshkov , A. V. Volotka , A. Surzhykov , S. Fritzsche