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Consider the wave propagation in a two-layered medium consisting of a homogeneous compressible air or fluid on top of a homogeneous isotropic elastic solid. The interface between the two layers is assumed to be an unbounded rough surface.…

偏微分方程分析 · 数学 2016-08-22 Yixian Gao , Peijun Li , Bo Zhang

This paper presents two approaches to mathematical modelling of a synthetic seismic pulse, and a comparison between them. First, a new analytical model is developed in two-dimensional Cartesian coordinates. Combined with an initial…

地球物理 · 物理学 2020-12-01 S. J. Walters , L. K. Forbes , A. M. Reading

The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of…

混沌动力学 · 物理学 2011-07-13 Nicolas Mordant

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

This paper is devoted to the study of periodic (in time) solutions to an one-dimensional semilinear wave equation with $x$-dependent coefficients under various homogeneous boundary conditions. Such a model arises from the forced vibrations…

动力系统 · 数学 2018-05-07 Hui Wei , Shuguan Ji

This article introduces a novel "bootstrap domain-of-dependence" concept, according to which, for all time following a given illumination period of arbitrary duration, the wave field scattered by an obstacle is encoded in the history of…

偏微分方程分析 · 数学 2022-11-28 Thomas G. Anderson , Oscar P. Bruno

In this paper we show how rotational bands of resonances can be described by using trajectories of poles of the scattering amplitude in the complex angular momentum plane: each band of resonances is represented by the evolution of a single…

核理论 · 物理学 2009-11-10 E. De Micheli , G. A. Viano

Space-time varying media enable unprecedented control over electromagnetic waves, yet most existing studies assume idealized, nondispersive materials and thus fail to capture the intrinsic frequency dispersion of realistic platforms. Here,…

光学 · 物理学 2025-12-16 Klaas De Kinder , Christophe Caloz

Plane-wave representations are used to formulate the exact solutions to frequency-domain and time-domain sources illuminating a magnetodielectric slab with complex permittivity and permeability. In the special case of a line source at z=0 a…

数学物理 · 物理学 2009-01-28 Arthur D. Yaghjian , Thorkild B. Hansen

In this paper we develop a method capable of modeling the space-time focusing of nondiffracting pulses. The new pulses can possess arbitrary peak velocities and, in addition to being resistant to diffraction, can have their peak intensities…

光学 · 物理学 2016-10-19 Michel Zamboni-Rached , Ioannis M. Besieris

A novel combination of physics-based and data-driven post-processing techniques is proposed to extract acoustic-related shear-layer perturbation responses directly from spatio-temporally resolved schlieren video. The physics-based component…

流体动力学 · 物理学 2025-03-26 Spencer L. Stahl , Chandan Kumar , Datta V. Gaitonde

Starting from a time-dependent Schr\"odinger equation, stationary states of 3D central potentials are obtained. An imaginary-time evolution technique coupled with the minimization of energy expectation value, subject to the orthogonality…

量子物理 · 物理学 2018-01-18 Amlan K. Roy

A thin infinitely long elastic shell is stiffened by $J$ in number identical lengthwise ribs distributed uniformly around the circumference and joined to a rod in the center. The 2D model of the substructure is a rigid central mass…

经典物理 · 物理学 2015-12-09 Alexey S. Titovich , Andrew N. Norris

Frictional sliding along an interface between two identical isotropic elastic plates under impact shear loading is investigated experimentally and numerically. The plates are held together by a compressive stress and one plate is subject to…

地球物理 · 物理学 2009-11-10 D. Coker , G. Lykotrafitis , A. Needleman , A. J. Rosakis

Being directly observed in the Doppler shift and imaging data and indirectly as quasi-periodic pulsations in solar and stellar flares, slow magnetoacoustic waves offer an important seismological tool for probing many vital parameters of the…

太阳与恒星天体物理 · 物理学 2022-05-25 Dmitrii Y. Kolotkov , Valery M. Nakariakov

We provide an analytical formulation to model the propagation of elastic waves in a homogeneous half-space supporting an array of thin plates. The technique provides the displacement field obtained from the interaction between an incident…

应用物理 · 物理学 2022-06-02 Xingbo Pu , Antonio Palermo , Alessandro Marzani

A fresh approach to the full wave analysis of time evolution of the polarization induced in the electromagnetic scattering from dispersive non magnetic particles is presented. It is grounded on the combination of the Hopfield model for the…

光学 · 物理学 2021-07-21 Carlo Forestiere , Giovanni Miano

We consider the propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the…

偏微分方程分析 · 数学 2019-07-04 Yuri A. Godin , Boris Vainberg

The time-dependent surface flux method developed for the description of electronic spectra [L. Tao and A. Scrinzi, New J. Phys. 14, 013021 (2012); A. Scrinzi, New J. Phys. 14, 085008 (2012)] is extended to treat dissociation and…

原子物理 · 物理学 2014-10-09 Lun Yue , Lars Bojer Madsen

We study cumulative scattering effects on wave front propagation in time dependent randomly layered media. It is well known that the wave front has a deterministic characterization in time independent media, aside from a small random shift…

偏微分方程分析 · 数学 2016-01-20 Liliana Borcea , Knut Solna