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The transformation from evanescent waves to propagation waves is the key mechanism for the realization of some super-resolution imaging methods. By using the recursive Green function and scattering-matrix theory, we investigated in details…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Dequan Zhang , Yuchen Xu , Ke Xu , Hao Zhang , Jing Li , Heyuan Zhu , Costas Soukoulis

We explore how ambient-noise interferometry can serve to track variations in the distribution of scatterers within a medium. Experiments are conducted in the presence and absence of a single scatterer that can occupy different positions…

Applied Physics · Physics 2018-08-13 Aida Hejazi Nooghabi , Lapo Boschi , Philippe Roux , Julien de Rosny

We develop three inverse elastic scattering schemes for locating multiple small, extended and multiscale rigid bodies, respectively. There are some salient and promising features of the proposed methods. The cores of those schemes are…

Analysis of PDEs · Mathematics 2013-10-15 Guanghui Hu , Jingzhi Li , Hongyu Liu , Hongpeng Sun

The propagation of classical waves in the presence of a disordered medium is studied. We consider wave pulses containing a broad range of frequencies in terms of the configurationally averaged Green function of the system. Damped…

Disordered Systems and Neural Networks · Physics 2009-11-07 Mauro S. Ferreira , Gerrit E. W. Bauer

Recent years have heralded the introduction of metasurfaces that advantageously combine the vision of sub- wavelength wave manipulation, with the design, fabrication and size advantages associated with surface excitation. An important topic…

The antiplane strain Green's functions for an applied concentrated force and moment are obtained for Cosserat elastic solids with extreme anisotropy, which can be tailored to bring the material in a state close to an instability threshold…

Soft Condensed Matter · Physics 2016-02-17 Panos A. Gourgiotis , Davide Bigoni

This study contributes to the evaluation of the robustness and accuracy of Green's function reconstruction from cross-correlation of strongly dispersed reverberated signals, with disentangling of the respective roles of ballistic and…

Classical Physics · Physics 2017-10-04 Aida Hejazi Nooghabi , Lapo Boschi , Philippe Roux , Julien de Rosny

A blurring algorithm with linear time complexity can reduce the small-scale content of data observed at scattered locations in a spatially extended domain of arbitrary dimension. The method works by forming a Gaussian interpolant of the…

Computation · Statistics 2020-09-22 Gregor Robinson , Ian Grooms

This paper presents theoretical and numerical models for the backscattering of 2D Rayleigh waves in single-phase, untextured polycrystalline materials with statistically equiaxed grains. The theoretical model, based on our prior…

Applied Physics · Physics 2023-07-07 Shan Li , Ming Huang , Yongfeng Song , Bo Lan , Xiongbing Li

Ultrasonic wave propagation across material surfaces reveals essential information about the materials' elastic behavior. The elastodynamic response of the surface is characterized by the Green's function that fully captures all its…

Experimental results and their interpretations are presented on the nonlinear acoustic effects of multiple scattered elastic waves in unconsolidated granular media. Short wave packets with a central frequency higher than the so-called…

Classical Physics · Physics 2008-12-18 Vincent Tournat , Vitalyi Gusev

Microwave transport experiments have been performed in a quasi-two-dimensional resonator with randomly distributed scatterers, each mimicking an $r^{-2}$ repulsive potential. Analysis of both stationary wave fields and transient transport…

Disordered Systems and Neural Networks · Physics 2010-03-09 R. Hoehmann , U. Kuhl , H. -J. Stoeckmann , L. Kaplan , E. J. Heller

We study the intensity distribution function, P(I), for monochromatic waves propagating in quasi one-dimensional disordered medium, assuming that a point source and a point detector are embedded in the bulk of the medium. We find deviations…

Condensed Matter · Physics 2009-10-31 A. D. Mirlin , R. Pnini , B. Shapiro

The resonant excitation of an electromagnetic guided mode of a slab structure by exterior radiation results in anomalous scattering behavior, including sharp energy-transmission anomalies and field amplification around the frequency of the…

Materials Science · Physics 2015-06-16 Stephen P. Shipman , Aaron T. Welters

Extremal elastic materials here refer to a specific class of elastic materials whose elastic matrices exhibit one or more zero eigenvalues, resulting in soft deformation modes that, in principle, cost no energy. They can be approximated…

Classical Physics · Physics 2024-09-09 Yu Wei , Yi Chen , Wen Cheng , Xiaoning Liu , Gengkai Hu

This paper is concerned with the inverse time-harmonic elastic scattering problem of recovering unbounded rough surfaces in two dimensions. We assume that elastic plane waves with different directions are incident onto a rigid rough surface…

Numerical Analysis · Mathematics 2018-04-09 Guanghui Hu , Xiaoli Liu , Bo Zhang , Haiwen Zhang

The interaction of a gravitational wave (GW) with an elastic body is usually described in terms of a GW "force" driving the oscillations of the body's normal modes. However, this description is only possible for GW frequencies for which the…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Enis Belgacem , Michele Maggiore , Thomas Moreau

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

Mathematical Physics · Physics 2014-05-12 Sönke Hansen

What we believe to be a new type of resonant coupling of an incident bulk wave into guided modes of a slab with a thick holographic grating is shown to occur in the presence of strong frequency detunings of the Bragg condition. This happens…

Optics · Physics 2009-11-11 D. R. Mason , S. J. Goodman , D. K. Gramotnev , T. A. Nieminen

The homogeneous Green's function is the difference between an impulse response and its time-reversal. According to existing representation theorems, the homogeneous Green's function associated with source-receiver pairs inside a medium can…

Geophysics · Physics 2020-06-17 Christian Reinicke , Kees Wapenaar