Spectral width of maximum deposition eigenchannels in diffusive media Mcintosh, R. E., A. Goetschy, N. Bender, A. Yamilov, C. W. Hsu, H. Yllmaz, and H. Cao Physical Review B 111, no. 14 (2025)
Résumé: The maximum deposition eigenchannel provides the largest possible power delivery to a target region inside a diffusive medium by optimizing the incident wavefront of a monochromatic beam. It originates from constructive interference of scattered waves, which is frequency sensitive. We investigate the spectral width of the maximum deposition eigenchannels over a range of target depths using numerical simulations of a 2D diffusive system. Compared to tight focusing into the system, power deposition to an extended region is more sensitive to frequency detuning. The spectral width of enhanced delivery to a large target displays a rather weak, nonmonotonic variation with target depth, in contrast to a sharp drop of focusing bandwidth with depth. While the maximum enhancement of power deposited within a diffusive system can exceed that of power transmitted through it, this comes at the cost of a narrower spectral width. We investigate the narrower deposition width in terms of the constructive interference of transmission eigenchannels within the target. We further observe that the spatial field distribution inside the target region decorrelates more slowly with spectral detuning than the power decay of the maximum deposition eigenchannel. Additionally, absorption increases the spectral width of deposition eigenchannels, but the depth dependence remains qualitatively identical to that without absorption. These findings hold for any diffusive waves, including electromagnetic waves, acoustic waves, pressure waves, mesoscopic electrons, and cold atoms.
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Modeling conductive thermal transport in three-dimensional fibrous media with fiber-to-fiber contacts Gaunand, C., Y. De Wilde, A. François, V. Grigorova-Moutiers, and K. Joulain Physical Review Applied 23, no. 3 (2025)
Résumé: Understanding heat transfers in fibrous materials, particularly conduction, is a major challenge due to their heterogeneous and multiscale nature, and the unknown contribution of fiber-to-fiber contacts. In most previous modeling studies, the existence of thermal contact resistance is not considered, and the computational complexity limits the size of simulated samples, which often leads to imprecise or inaccurate predictions. The same problem arises when considering electrical conduction through fibrous materials. In this work, we describe a computationally efficient simulation approach based on a multinodal representation to analyze the steady-state heat conduction through the solid structure in numerically generated three-dimensional fibrous networks, including contact resistance. We show that the solid conductivity in these networks is governed by a master curve that depends on a single parameter: a characteristic ratio representing the interplay between the intrinsic fiber conductivity and contact resistance as well as the influence of other geometric parameters, which numerically validates previous theoretical studies. However, we observe a deviation to this established theory for poorly connected networks. We derive an expression for a correction factor, considering the influence of correlations between fiber temperatures, and we then find good agreement with our simulation data. Our results demonstrate that the solid conductivity can be fully predicted based on geometric quantities, regardless of the extent of network connectivity, thus generalizing previous studies on this topic. This work, contributing to improve our understanding of conductive heat transport in fibrous media, may prove useful in the development of accurate predictive models and optimization strategies for fibrous insulation materials.
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Rolling-phase dynamic full-field OCT Monfort, T., K. Grieve, and O. Thouvenin Optics Letters 50, no. 7, 2239-2242 (2025)
Résumé: Dynamic full-field optical coherence tomography (DFFOCT) has recently emerged as an invaluable label-free microscopy technique, owing to its sensitivity to cell activity, as well as speed and sectioning ability. However, the quality of DFFOCT images is often degraded due to phase noise and fringe artifacts. In this work, we present a new implementation, to the best of our knowledge, named rolling-phase (RP) DFFOCT, in which the reference arm is slowly scanned over magnitudes exceeding 2π. We demonstrate mathematically and experimentally that it shows superior image quality while enabling to extract both static and dynamic contrast simultaneously. We showcase RP-DFFOCT on a macaque retinal explant and demonstrate its ability to better resolve subcellular structures, including intranuclear activity.
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Output control of dissipative nonlinear multimode amplifiers using spacetime symmetry mapping Chen, C. W., K. Wisal, M. Fink, A. D. Stone, and H. Cao Nature Physics (2025)
Résumé: In many linear and nonlinear systems, time-reversal symmetry makes it possible to control the output waves by appropriately shaping the input waves. However, time-reversal symmetry is broken in systems with energy dissipation, necessitating a different approach for relating the input and output fields. We theoretically consider a saturated multimode fibre amplifier in which light generates a heat flow and suffers thermo-optical nonlinearity, thus breaking time-reversal symmetry. We identify a spacetime symmetry that maps the target output back to an input field. This spacetime symmetry mapping applies phase conjugation, gain and absorption substitution but not time reversal, and it holds in a steady state and for slowly varying inputs. Our approach enables coherent wavefront control of nonlinear dissipative systems.
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Temporal chirp, temporal lensing, and temporal routing via space-time interfaces Pacheco-Peña, V., M. Fink, and N. Engheta Physical Review B 111, no. 10 (2025)
Résumé: A time interface (a rapid change of the constitutive parameters of a material in time), applied within an unbounded medium where a wave travels, can enable frequency conversion and is considered the temporal analog of a spatial interface between two materials. Here, we study light-matter interactions in four dimensions, 4D (space, x,y,z, and time, t), by exploring the implications of applying time interfaces, not to the entire space where a wave travels, but to certain regions of space in order to create spatial interfaces in time. Different configurations such as induced perpendicular, parallel, and oblique spatial interfaces via a temporal interface are discussed. It is shown how such four-dimensional combination of temporal and spatial interfaces can enable interesting features such as the 4D generalized Snell's law and temporal chirp, temporal lensing, and temporal routing of electromagnetic waves. Such exotic possibilities may provide new ways to manipulate light-matter interactions via a combination of temporal and spatial interfaces.
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Electroluminescence and energy transfer mediated by hyperbolic polaritons Abou-Hamdan, L., A. Schmitt, R. Bretel, S. Rossetti, M. Tharrault, D. Mele, A. Pierret, M. Rosticher, T. Taniguchi, K. Watanabe, C. Maestre, C. Journet, B. Toury, V. Garnier, P. Steyer, J. H. Edgar, E. Janzen, J. M. Berroir, G. Fève, G. Ménard, B. Plaçais, C. Voisin, J. P. Hugonin, E. Bailly, B. Vest, J. J. Greffet, P. Bouchon, Y. De Wilde, and E. Baudin Nature 639, no. 8056, 909-914 (2025)
Résumé: Under high electrical current, some materials can emit electromagnetic radiation beyond incandescence. This phenomenon, referred to as electroluminescence, leads to the efficient emission of visible photons and is the basis of domestic lighting devices (for example, light-emitting diodes)1,2. In principle, electroluminescence can lead to mid-infrared emission of confined light–matter excitations called phonon polaritons3,4, resulting from the coupling of photons with crystal lattice vibrations (optical phonons). In particular, phonon polaritons arising in the van der Waals crystal hexagonal boron nitride (hBN) present hyperbolic dispersion, which enhances light–matter coupling5,6. For this reason, electroluminescence of hyperbolic phonon polaritons (HPhPs) has been proposed as an explanation for the peculiar radiative energy transfer within hBN-encapsulated graphene transistors7,8. However, as HPhPs are locally confined, they are inaccessible in the far field, and as such, any hint of electroluminescence has been based on indirect electronic signatures and has yet to be confirmed by direct observation. Here we demonstrate far-field mid-infrared (wavelength approximately 6.5 μm) electroluminescence of HPhPs excited by strongly biased high-mobility graphene within a van der Waals heterostructure, and we quantify the associated radiative energy transfer through the material. The presence of HPhPs is revealed by far-field mid-infrared spectroscopy owing to their elastic scattering at discontinuities in the heterostructure. The resulting radiative flux is quantified by mid-infrared pyrometry of the substrate receiving the energy. This radiative energy transfer is also shown to be reduced in hBN with nanoscale inhomogeneities, demonstrating the central role of the electromagnetic environment in this process.
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Electroelastic guided wave dispersion in piezoelectric plates: Spectral methods and laser-ultrasound experiments Kiefer, D. A., G. Watzl, K. Burgholzer, M. Ryzy, and C. Grünsteidl Journal of Applied Physics 137, no. 11 (2025)
Résumé: Electroelastic waves in piezoelectric media are widely used in sensing and filtering applications. Despite extensive research, computing the guided wave dispersion remains challenging. This paper presents semi-analytical approaches based on spectral methods to efficiently and reliably compute dispersion curves. We systematically assess the impact of electrical boundary conditions on a 128 ° Y-cut LiNbO 3 wafer, examining open-open, open-shorted, and shorted-shorted surface configurations. Multi-modal dispersion maps obtained from laser-ultrasonic experiments for each boundary condition exhibit excellent agreement with the computational predictions. A straightforward implementation of the spectral collocation method is made available as GEW piezo plate (https://doi.org/10.5281/zenodo.14205789), while the spectral element method is integrated to GEWtool (http://doi.org/10.5281/zenodo.10114243) for multilayered plates. Therewith, we aim to make advanced semi-analytical techniques more accessible to physicists and engineers relying on dispersion analysis.
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Intraoceanic active rifting revealed by deep seismic reflection imaging in the southern Bay of Bengal, northeastern Indian Ocean Shang, L., G. Hu, T. P. Ferrand, J. Pan, and C. Yang Earth and Planetary Science Letters 658, 119328 (2025)
Résumé: Oceanic domains form via the break-up of the continental lithosphere resulting from extensional tectonic processes that eventually create passive margins. Whether active rifting and subsequent volcanic break-up occur within the oceanic lithosphere remains ambiguous. New seismic reflection data from the southern Bay of Bengal, where multiple mantle plumes were active during the late Cretaceous, provide visual evidence for resolving this issue. The studied seismic profile reveals an ∼300-km-wide anomalous crustal domain characterized by basement highs, irregular Moho depth fluctuations, and a thick pile of well-organized upper crustal dipping reflections. These features resemble those of volcanic passive margins, i.e., stacked volcanoclastic layers, seaward-dipping reflectors, underplating and failed rifting centers. Here, we document a similar setting within an intraoceanic domain, which is consistent with the active rifting model, with an excess magma supply presumably associated with active mantle upwelling. The structures described in the present study require a multistage dynamic process during local impingement of the northward-drifting Indian oceanic lithosphere by mantle upwelling, with a transition from thermal doming, intense volcanic eruptions and magmatic underplating, to lithospheric extension and necking, and finally to an incipient but failed rift. The volcanism initiated at ∼84–85 Ma, and volcanics were emplaced on young oceanic lithosphere with an age of ∼7–8 Ma. The active mantle upwelling that promoted the intraoceanic rifting was likely driven by a weak or pulsed branch of the Kerguelen Plume, which is also involved in producing the Ninety-East Ridge. These findings help further understand the processes dominating lithospheric breakup and extend some concepts seaward from passive margins to the interior of the oceanic lithospheric domain.
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Nearfield control over magnetic light-matter interactions Reynier, B., E. Charron, O. Markovic, B. Gallas, A. Ferrier, S. Bidault, and M. Mivelle Light: Science and Applications 14, no. 1 (2025)
Résumé: Light-matter interactions are frequently perceived as predominantly influenced by the electric field, with the magnetic component of light often overlooked. Nonetheless, the magnetic field plays a pivotal role in various optical processes, including chiral light-matter interactions, photon-avalanching, and forbidden photochemistry, underscoring the significance of manipulating magnetic processes in optical phenomena. Here, we explore the ability to control the magnetic light and matter interactions at the nanoscale. In particular, we demonstrate experimentally, using a plasmonic nanostructure, the transfer of energy from the magnetic nearfield to a nanoparticle, thanks to the subwavelength magnetic confinement allowed by our nano-antenna. This control is made possible by the particular design of our plasmonic nanostructure, which has been optimized to spatially decouple the electric and magnetic components of localized plasmonic fields. Furthermore, by studying the spontaneous emission from the Lanthanide-ions doped nanoparticle, we observe that the measured field distributions are not spatially correlated with the experimentally estimated electric and magnetic local densities of states of this antenna, in contradiction with what would be expected from reciprocity. We demonstrate that this counter-intuitive observation is, in fact, the result of the different optical paths followed by the excitation and emission of the ions, which forbids a direct application of the reciprocity theorem.
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Submacular Choroidal Arteries: A Laser Doppler Holography and OCT Study Paques, M., Z. Bratasz, L. Puyo, C. Chaumette, D. Castro Farias, M. Atlan, and S. Mrejen Ophthalmology Science 5, no. 3, 100709 (2025)
Résumé: Objective: To document the aspect, topography and morphometry of normal human choroidal arteries in the posterior pole by laser Doppler holography (LDH) and OCT. Design: Cross-sectional study. Subjects: Fifty-four eyes of 27 healthy subjects. Methods: A prototypic LDH system captured the laser Doppler shift of the choroidal circulation within the central 20°. Doppler shifts were filtered to extract high velocity vessels. Images of choroidal arteries identified by LDH were subsequently registered with en face and cross-sectional OCT images. Subsequently, the diameters of macular choroidal arteries and their correlation to central choroidal thickness was measured on OCT B-scans. Main Outcome Measures: Spatial disposition, distribution, and diameters of choroidal arteries. Results: Choroidal arteries were identified by LDH and OCT from their emergence from short posterior ciliary arteries (sPCAs), and could be traced to second and third divisions. In the 8 eyes that underwent LDH, 7 of 8 (88%) showed a horizontal first-order artery within 0.5 disc diameter from the fovea. OCT B-scans showed that first-order arteries were located along the sclera-choroid interface; around arteries, the choroidal tissue formed a pyramid-shaped avascular structure with a posterior base contiguous and isoreflective to the sclera. In a cohort of 49 eyes, the diameter of horizontal submacular arteries (average [± standard deviation] 136.3 μm [±47]; range, 70–209 μm) was weakly correlated to central choroidal thickness (P = 0.09). Conclusions: First-order choroidal arteries emerging from sPCAs are located along the sclerochoroidal interface and are surrounded by a pyramid-shaped avascular space, which contributes to differentiate them from veins. The majority of normal eye show a submacular first-order artery running horizontally toward the temporal periphery. These results will pave the way for a better knowledge of diseases affecting the choroidal circulation. Financial Disclosure(s): Proprietary or commercial disclosure may be found in the Footnotes and Disclosures at the end of this article.
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Floquet scattering of shallow water waves by a vertically oscillating plate Koukouraki, M., P. Petitjeans, A. Maurel, and V. Pagneux Wave Motion 136, 103530 (2025)
Résumé: We report on the scattering of a plane wave from a vertically oscillating plate in the low frequency approximation by means of Floquet theory. In the case of a static plate, the scattering coefficients are evaluated via mode matching method for the full two-dimensional linearized water wave problem and are compared with the coefficients obtained from a reduced one-dimensional model in the shallow water approximation. The main part of the analysis is the extension of this 1D shallow water approximation to the case of a vertically oscillating plate, where time modulation is only encapsulated in the blockage coefficient. We show that the incident wave is scattered into Floquet sidebands and extract the scattering coefficients for each harmonic using a Floquet scattering formalism. Finally, considering a slowly oscillating plate, we propose a quasistatic approximation which appears to be particularly accurate.
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Rapid On-Site Histopathological Analysis of Kidney Biopsy With Dynamic Full-Field Optical Coherence Tomography Zuccarelli, L., Q. Bernard, G. Tarris, L. Martin, M. Funes De La Vega, A. Jacq, J. M. Rebibou, C. Tinel, C. Boccara, O. Thouvenin, J. M. Chassot, M. Rabant, J. Zuber, C. Legendre, J. P. Quenot, M. N. Peraldi, L. Amrouche, A. Scemla, N. Chavarot, D. Anglicheau, M. Legendre, and T. Maldiney Kidney International Reports (2025)
Résumé: Introduction: Kidney histology preparation requires a multistep process that is usually responsible for delayed results. This study introduces dynamic full-field optical coherence tomography (D-FF-OCT) as a label-free alternative to overcome the limitations of traditional histopathology for on-site kidney pathology assessment. Methods: Two patient cohorts were considered, with a total of 31 patients included in the study; one cohort involved patients requiring biopsy of transplant kidney, and the other involved patients requiring biopsy of native kidney. The clinical and biological data were prospectively collected. Histopathological analysis of kidney biopsies was conducted using both conventional stains and dynamic D-FF-OCT imaging. Results: D-FF-OCT enabled the recognition of most kidney structures. The results showed a significant correlation between this technology and conventional stains for the evaluation of both interstitial fibrosis (IF) (r = 0.61, P < 0.001) and tubular atrophy (TA) (r = 0.60, P < 0.001). Although many lesions could be identified such as interstitial inflammation, acute tubular necrosis, glomerular crescents, and vascular intimal thickening; other recognitions such as glomerular membranous deposits, vascular amyloidosis, and peritubular capillaritis will require confirmation in larger cohorts. Conclusion: This study demonstrates the potential of D-FF-OCT imaging for on-site analysis of kidney biopsies, providing rapid and high-resolution images without extensive sample preparation.
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Extreme wave skewing and dispersion spectra of anisotropic elastic plates Kiefer, D. A., S. Mezil, and C. Prada Physical Review Research 7, no. 1 (2025)
Résumé: Guided wave dispersion is commonly assessed by Fourier analysis of the field along a line, resulting in
frequency-wave-number dispersion curves. In anisotropic plates, a point source can generate multiple dispersion
branches pertaining to the same modal surface, which arise due to the angle between the power flux and the
wave vector. We show that this phenomenon is very particular near zero-group-velocity points and occurs in all
directions independent of the degree of anisotropy. Stationary phase points accurately describe measurements on
a monocrystalline silicon plate.
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3D Single-Molecule Super-Resolution Imaging of Microfabricated Multiscale Fractal Substrates for Calibration and Cell Imaging Cabriel, C., R. M. Córdova-Castro, E. Berenschot, A. Dávila-Lezama, K. Pondman, S. Le Gac, N. Tas, A. Susarrey-Arce, and I. Izeddin ACS Applied Materials and Interfaces 17, no. 6, 9019-9034 (2025)
Résumé: Microstructures arrayed over a substrate have shown increasing interest due to their ability to provide advanced 3D cellular models, which open up new possibilities for cell culture, proliferation, and differentiation. Still, the mechanisms by which physical cues impact the cell phenotype are not fully understood, hence the necessity to interrogate cell behavior at the highest resolution. However, cell 3D high-resolution optical imaging on such microstructured substrates remains challenging due to their complexity as well as axial calibration issues. In this work, we address this issue by leveraging the geometrical characteristics of fractal-like structures, which serve as axial calibration tools and modulate cell growth. To this end, we use multiscale 3D SiO2 substrates consisting of spatially arrayed octahedral features of a few micrometers to hundreds of nanometers. Through optimizations of both the structures and optical imaging conditions, we demonstrate the potential of these 3D multiscale structures as an alternative to electron microscopy for material imaging but also as calibration tools for 3D super-resolution microscopy. We used their multiscale and known geometry to perform lateral and axial calibrations in 3D single-molecule localization microscopy (SMLM) and assess imaging resolutions. We then utilized these substrates as a platform for high-resolution bioimaging. As a proof of concept, we cultivate human mesenchymal stem cells on these substrates, revealing very different growth patterns compared to flat glass. Specifically, the spatial distribution of cytoskeleton proteins is vastly modified, as we demonstrate with a 3D SMLM assessment.
Mots-clés: 3D single-molecule localization microscopy; bioimaging; multiscale material; fractal-like microstructures; calibration; material imaging
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Complementary Speckle Stimulated Emission Depletion Microscopy Arjmand, P., S. C. Thodika, H. Li, E. Bivas, M. Oheim, H. Yoshida, E. Brasselet, and M. Guillon ACS Photonics (2025)
Résumé: Stimulated emission depletion (STED) microscopy has emerged as a powerful technique providing visualization of biological structures at the molecular level in living samples. In this technique, the diffraction limit is broken by selectively depleting the fluorophore’s excited state by stimulated emission, typically using a donut-shaped optical vortex beam. STED microscopy performs exceptionally well in degraded optical conditions, such as living tissues. Nevertheless, photobleaching and acquisition time are among the main challenges for imaging large volumetric fields of view. In this regard, random light beams such as speckle patterns have proved to be especially promising for three-dimensional imaging in compressed sensing schemes. Taking advantage of the high spatial density of intrinsic optical vortices in speckles─one of the most commonly used types of structured beams in STED microscopy─we propose here a novel scheme that employs speckles for performing STED microscopy. Two speckle patterns are generated at the excitation and the depletion wavelengths, respectively, exhibiting inverted intensity contrasts. We illustrate spatial resolution enhancement using complementary speckles as excitation and depletion beams on both fluorescent beads and biological samples. Our results establish a robust method for super-resolved three-dimensional imaging with promising perspectives in terms of temporal resolution and photobleaching.
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Ultrasound-induced dense granular flows: a two-time scale modelling Martin, H. A., A. Mangeney, X. Jia, B. Maury, A. Lefebvre-Lepot, Y. Maday, and P. Dérand Journal of Fluid Mechanics 1004 (2025)
Résumé: Understanding the mechanisms behind the remote triggering of landslides by seismic waves at micro-strain amplitude is essential for quantifying seismic hazards. Granular materials provide a relevant model system to investigate landslides within the unjamming transition framework, from solid to liquid states. Furthermore, recent laboratory experiments have revealed that ultrasound-induced granular avalanches can be related to a reduction in the interparticle friction through shear acoustic lubrication of the contacts. However, investigating slip at the scale of grain contacts within an optically opaque granular medium remains a challenging issue. Here, we propose an original coupling model and numerically investigate two-dimensional dense granular flows triggered by basal acoustic waves. We model the triggering dynamics at two separated time scales - one for grain motion (milliseconds) and the other for ultrasound (10μs) - relying on the computation of vibrational modes with a discrete element method through the reduction of the local friction. We show that ultrasound predominantly propagates through the strong-force chains, while the ultrasound-induced decrease of interparticle friction occurs in the weak contact forces perpendicular to the strong-force chains. This interparticle friction reduction initiates local rearrangements at the grain scale that eventually lead to a continuous flow through a percolation process at the macroscopic scale - with a delay depending on the proximity to the failure. Consistent with experiments, we show that ultrasound-induced flow appears more uniform in space than pure gravity-driven flow, indicating the role of an effective temperature by ultrasonic vibration.
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Sensitivity of Lamb waves in viscoelastic polymer plates to surface contamination Spytek, J., D. A. Kiefer, R. K. Ing, C. Prada, J. Grando, and J. De Rosny Ultrasonics 149, 107571 (2025)
Résumé: Detecting surface contamination on thin thermoformed polymer plates is a critical issue for various industrial applications. Lamb waves offer a promising solution, though their effectiveness is challenged by the strong attenuation and anisotropy of the polymer plates. This issue is addressed in the context of a calcium carbonate (CaCO3) layer deposited on a polypropylene (PP) plate. First, the viscoelastic properties of the PP material are determined using a genetic algorithm inversion of data measured with a scanning laser vibrometer. Second, using a bi-layer plate model, the elastic properties and thickness of the CaCO3 layer are estimated. Based on the model, the sensitivity analysis is performed, demonstrating considerable effectiveness of the A1 Lamb mode in detecting thin layers of CaCO3 compared to Lamb modes A0 and S0. Finally, a direct application of this work is illustrated through in-situ monitoring of CaCO3 contaminants using a straightforward inter-transducer measurement.
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Metastable state preceding shear zone instability: Implications for earthquake-accelerated landslides and dynamic triggering Li, Y., W. Hu, Q. Xu, H. Luo, C. Chang, and X. Jia Proceedings of the National Academy of Sciences 122, no. 1 (2025)
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Techniques for imaging optic disc vasculature in glaucomatous optic neuropathy: A review of the literature Aubert, T., R. Lecoge, P. Bastelica, M. Atlan, M. Paques, P. Hamard, C. Baudouin, and A. Labbé Journal Francais d'Ophtalmologie 48, no. 2, 104369 (2025)
Résumé: The anatomy and vasculature of the optic nerve head are complex and subject to numerous variations. The main risk factor for glaucomatous optic neuropathy is elevated intraocular pressure, but many other factors have been identified. A vascular component seems to play an important role in the pathogenesis and/or progression of glaucomatous optic neuropathy, either under the influence of ocular hypertension or as an independent risk factor, particularly as in normal tension glaucoma (NTG). Reduced ocular blood flow has been identified as a risk factor for glaucoma. Numerous instruments have therefore been developed to explore the vasculature of the optic nerve head and to try to better understand the changes in blood flow in the optic nerve in glaucomatous optic neuropathy. In this review, we provide an update on the various means of imaging the vasculature of the optic nerve head, from angiography to the most modern techniques with angiographic OCT and laser Doppler holography. Using the results found in glaucomatous optic neuropathies, we will explore the close link between reduced ocular blood flow and the development or progression of glaucoma. A better understanding of this pathophysiology opens the door to improved management of our glaucoma patients.
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Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems Gravenkamp, H., B. Plestenjak, D. A. Kiefer, and E. Jarlebring Journal of Sound and Vibration 596 (2025)
Résumé: We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is of relevance, e.g., for the simulation of guided ultrasound in embedded plate structures or seismic waves in soil layers over an elastic half-space. We employ a semi-analytical formulation to describe the layers, thus discretizing the thickness direction by means of finite elements. For a free layer, this technique leads to a well-known quadratic eigenvalue problem for the mode shapes and corresponding horizontal wavenumbers. Incorporating the coupling conditions to account for the adjacent half-spaces gives rise to additional terms that are nonlinear in the wavenumber. We show that the resulting nonlinear eigenvalue problem can be cast in the form of a multiparameter eigenvalue problem whose solutions represent the wave numbers in the plate and in the half-spaces. The multiparameter eigenvalue problem is solved numerically using recently developed algorithms. Matlab implementations of the proposed methods are publicly available.
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