Measuring the wavenumber of guided modes in waveguides with linearly varying thickness

Moreau, Ludovic; Minonzio, Jean‐Gabriel; Talmant, Maryline; Laugier, Pascal

doi:10.1121/1.4869691

Cited by 32 publications

(16 citation statements)

References 53 publications

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“…Therefore, any variations of ice thickness or elastic properties along the array are averaged in the frequency‐wave number diagram. It is possible to account for thickness variations (Moreau et al, ) and potentially for variations of elastic properties as well, using more advanced signal processing, but this is out of the scope of this paper and is left for future investigations. The variations of guided modes velocities between 1 and 5 March 2019 demonstrate the high sensitivity of the dispersion curves to ice thickness and elastic constants.…”

Section: Resultsmentioning

confidence: 99%

Sea Ice Thickness and Elastic Properties From the Analysis of Multimodal Guided Wave Propagation Measured With a Passive Seismic Array

et al. 2020

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Field data are needed for a better understanding of sea ice decline in the context of climate change. The rapid technological and methodological advances of the last decade have led to a reconsideration of seismic methods in this matter. In particular, passive seismology has filled an important gap by removing the need to use active sources. We present a seismic experiment where an array of 247 geophones was deployed on sea ice, in the Van Mijen fjord near Sveagruva (Svalbard). The array is a mix of 1C and 3C stations with sampling frequencies of 500 and 1000 Hz. They recorded continuously the ambient seismic field in sea ice between 28 February and 26 March 2019. Data also include active acquisitions on 1 and 26 March with a radar antenna, a shaker unit, impulsive sources, and artificial sources of seismic noise. This data set is of unprecedented quality regarding sea ice seismic monitoring, as it also includes thousands of microseismic events recorded each day. By combining passive seismology approaches with specific array processing methods, we demonstrate that the multimodal dispersion curves of sea ice can be calculated without an active source and then used to infer sea ice properties. We calculated an ice thickness, Young's modulus, and Poisson's ratio with values h = 54 ± 3 cm, E = 3.9 ± 0.15 GPa, and = 0.34 ± 0.02 on 1 March, and h = 58 ± 3 cm, E = 4.4 ± 0.15 GPa, and = 0.32 ± 0.02 on 5 March. These values are consistent with in situ field measurements and observations.

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Section: Resultsmentioning

confidence: 99%

Sea Ice Thickness and Elastic Properties From the Analysis of Multimodal Guided Wave Propagation Measured With a Passive Seismic Array

et al. 2020

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“…In this paper, the choice of the waveguide model is based on the following assumptions derived from earlier observations: (i) at 1 MHz, ultrasound waves are sensitive to the effective (i.e., mesoscopic) elastic properties of bone, which can thus be considered as a homogeneous material2933; (ii) the cortical thickness can be assumed as constant in the region prescribed by the length of the receiver array34; and (iii) given our probe configuration and the driving-frequency, the tubular bone shape can be locally approximated by a plate despite bone curvature20. Therefore, in what follows, cortical bone is considered as a two-dimensional (2-D) transverse isotropic homogeneous free plate waveguide.…”

Section: Methodsmentioning

confidence: 99%

Predicting bone strength with ultrasonic guided waves

Bochud

Vallet

Minonzio

et al. 2017

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Recent bone quantitative ultrasound approaches exploit the multimode waveguide response of long bones for assessing properties such as cortical thickness and stiffness. Clinical applications remain, however, challenging, as the impact of soft tissue on guided waves characteristics is not fully understood yet. In particular, it must be clarified whether soft tissue must be incorporated in waveguide models needed to infer reliable cortical bone properties. We hypothesize that an inverse procedure using a free plate model can be applied to retrieve the thickness and stiffness of cortical bone from experimental data. This approach is first validated on a series of laboratory-controlled measurements performed on assemblies of bone- and soft tissue mimicking phantoms and then on in vivo measurements. The accuracy of the estimates is evaluated by comparison with reference values. To further support our hypothesis, these estimates are subsequently inserted into a bilayer model to test its accuracy. Our results show that the free plate model allows retrieving reliable waveguide properties, despite the presence of soft tissue. They also suggest that the more sophisticated bilayer model, although it is more precise to predict experimental data in the forward problem, could turn out to be hardly manageable for solving the inverse problem.

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“…The axial and through transmission techniques have been mainly used to estimate the first arriving signal (FAS) velocity and attenuation as well as to study the propagation of guided waves. In the literature, different thresholds for the detection of the FAS and methodologies to extract guided wave features have been proposed to interpret ultrasound propagation phenomena occurring not only at the periosteal region, but also at deeper bone layers [4,5,6,7,11,12]. More recently, ultrasound reflection and backscattering parameters have been measured to investigate bone microstructure [13,14].…”

Section: Introductionmentioning

confidence: 99%

Computational Study of the Effect of Cortical Porosity on Ultrasound Wave Propagation in Healthy and Osteoporotic Long Bones

et al. 2016

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Computational studies on the evaluation of bone status in cases of pathologies have gained significant interest in recent years. This work presents a parametric and systematic numerical study on ultrasound propagation in cortical bone models to investigate the effect of changes in cortical porosity and the occurrence of large basic multicellular units, simply called non-refilled resorption lacunae (RL), on the velocity of the first arriving signal (FAS). Two-dimensional geometries of cortical bone are established for various microstructural models mimicking normal and pathological tissue states. Emphasis is given on the detection of RL formation which may provoke the thinning of the cortical cortex and the increase of porosity at a later stage of the disease. The central excitation frequencies 0.5 and 1 MHz are examined. The proposed configuration consists of one point source and multiple successive receivers in order to calculate the FAS velocity in small propagation paths (local velocity) and derive a variation profile along the cortical surface. It was shown that: (a) the local FAS velocity can capture porosity changes including the occurrence of RL with different number, size and depth of formation; and (b) the excitation frequency 0.5 MHz is more sensitive for the assessment of cortical microstructure.

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Measuring the wavenumber of guided modes in waveguides with linearly varying thickness

Cited by 32 publications

References 53 publications

Sea Ice Thickness and Elastic Properties From the Analysis of Multimodal Guided Wave Propagation Measured With a Passive Seismic Array

Sea Ice Thickness and Elastic Properties From the Analysis of Multimodal Guided Wave Propagation Measured With a Passive Seismic Array

Predicting bone strength with ultrasonic guided waves

Computational Study of the Effect of Cortical Porosity on Ultrasound Wave Propagation in Healthy and Osteoporotic Long Bones

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