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Localization and reconstruction of small defects in acoustic or electromagnetic waveguides is of crucial interest in nondestructive evaluation of structures. The aim of this work is to present a new multi-frequency inversion method to…

Numerical Analysis · Mathematics 2022-02-17 Eric Bonnetier , Angèle Niclas , Laurent Seppecher , Grégory Vial

We consider the problem of elastic diffraction tomography, which consists in reconstructing elastic properties (i.e. mass density and elastic Lam\'e parameters) of a weakly scattering medium from full-field data of scattered waves outside…

Analysis of PDEs · Mathematics 2022-12-07 Bochra Mejri , Otmar Scherzer

This paper aims to enhance our understanding of the physical behavior of adiabatic modes in inhomogeneous elastic plates, particularly their remarkable capacity to adapt to gradual perturbations. The study investigates the propagation…

Classical Physics · Physics 2026-01-15 Alexandre Yoshitaka Charau , Jérôme Laurent , Tony Valier-Brasier

We present a compact slit-based interface that enables reflection mode conversion in an elastic plate by transforming an incident lowest-order antisymmetric Lamb mode into a reflected lowest-order symmetric Lamb mode. The interface is…

Applied Physics · Physics 2026-01-14 Kaifei Feng , Pai Peng

The motivation of this work is an inverse problem for the acoustic wave equation, where an array of sensors probes an unknown medium with pulses and measures the scattered waves. The goal of the inversion is to determine from these…

Numerical Analysis · Mathematics 2018-06-18 Liliana Borcea , Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

Defect reconstruction is essential in non-destructive testing and structural health monitoring with guided ultrasonic waves. This paper presents an algorithm for reconstructing notches in steel plates which can be seen as artificial defects…

Numerical Analysis · Mathematics 2023-06-06 Jannis Bulling , Benjamin Jurgelucks , Jens Prager , Andrea Walther

The interaction of ultrasonic waves with fluid-embedded viscoelastic plates, pipes, and shells, have been subject to extensive theoretical and experimental studies over several decades. In normal-incidence through-transmission measurements…

Instrumentation and Detectors · Physics 2016-04-11 Magne Aanes , Kjetil Daae Lohne , Per Lunde , Magne Vestrheim

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen

In seismic waveform inversion, the reconstruction of the subsurface properties is usually carried out using approximative wave propagation models to ensure computational efficiency. The viscoelastic nature of the subsurface is often…

Geophysics · Physics 2020-08-26 Kenneth Muhumuza , Lassi Roininen , Janne M. J. Huttunen , Timo Lähivaara

This work extends the factorization method to the inverse scattering problem of reconstructing the shape and location of an absorbing penetrable scatterer embedded in a thin infinite elastic (Kirchhoff--Love) plate. With the assumption that…

Analysis of PDEs · Mathematics 2025-11-13 Rafael Ceja Ayala , Isaac Harris , General Ozochiawaeze

This article aims to present a new method to reconstruct slowly varying width defects in 2D waveguides using locally resonant frequencies. At these frequencies, locally resonant modes propagate in the waveguide under the form of Airy…

Mathematical Physics · Physics 2023-04-13 Angèle Niclas , Laurent Seppecher

This article present a new method to reconstruct slowly varying width defects in 2D waveguides using one-side section measurements at locally resonant frequencies. At these frequencies, locally resonant modes propagate in the waveguide up…

Numerical Analysis · Mathematics 2022-12-15 Angèle Niclas , Laurent Seppecher

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

Mathematical Physics · Physics 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

We deal with the electromagnetic waves propagation in the harmonic regime. We derive the Foldy-Lax approximation of the scattered fields generated by a cluster of small conductive inhomogeneities arbitrarily distributed in a bounded domain…

Analysis of PDEs · Mathematics 2018-02-12 Ali Bouzekri , Mourad Sini

We report on experimental and numerical implementations of devices based on the negative refraction of elastic guided waves, the so-called Lamb waves. Consisting in plates of varying thickness, these devices rely on the concept of…

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

Numerical Analysis · Mathematics 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

In non-destructive evaluation guided wave inspections, the elastic structure to be inspected is often embedded within other elastic media and the ensuing leaky waves are complex and non-trivial to compute; we consider the canonical example…

Numerical Analysis · Mathematics 2024-07-04 Evripides Georgiades , Michael J. S. Lowe , Richard V. Craster

In this paper we propose some kinds of two-dimensional square zigzag lattice structures and study their bandgaps and directional propagation of elastic waves. The band structures and the transmission spectra of the systems are calculated by…

Materials Science · Physics 2014-11-24 Yan-Feng Wang , Yue-Sheng Wang , Chuanzeng Zhang

Elastic waves guided along bars of rectangular cross section exhibit complex dispersion. This paper studies in-plane modes propagating at low frequencies in thin isotropic rectangular waveguides through experiments and numerical…

Classical Physics · Physics 2020-04-22 Jérôme Laurent , Daniel Royer , Claire Prada

We propose an experimental technique based on all-electric measurements to retrieve the frequency response of a one-dimensional piezoelectric phononic crystal plate, structured periodically with millimeter-scaled metallic strips on its two…

Applied Physics · Physics 2019-10-09 F. H. Chikh-Bled , N. Kherraz , R. Sainidou , P. Rembert , B. Morvan
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