Detection and characterization of targets in complex media using fingerprint matrices Le Ber, A., A. Goïcoechea, L. M. Rachbauer, W. Lambert, X. Jia, M. Fink, A. Tourin, S. Rotter, and A. Aubry Nature Physics 21, no. 10, 1609-1615 (2025)
Résumé: When waves propagate through a complex medium, they undergo several scattering events. This phenomenon is detrimental to imaging, as it causes full blurring of the image. Here we describe a method for detecting, localizing and characterizing any scattering target embedded in a complex medium. We introduce a fingerprint operator that contains the specific signature of the target with respect to its environment. When applied to the recorded reflection matrix, it provides a likelihood index of the target state. This state can be the position of the target for localization purposes, its shape for characterization or any other parameter that influences its response. We demonstrate the versatility of our method by performing proof-of-concept ultrasound experiments on elastic spheres buried inside a strongly scattering granular suspension and on lesion markers, which are commonly used to monitor breast tumours, embedded in a foam mimicking soft tissue. Furthermore, we show how the fingerprint operator can be leveraged to characterize the complex medium itself by mapping the fibre architecture within muscle tissue. Our method is broadly applicable to different types of waves beyond ultrasound for which multi-element technology allows a reflection matrix to be measured.
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Non-linear coupling in two non-linear delayed acoustic resonators Reda, J., M. Fink, and F. Lemoult Journal of the Acoustical Society of America 158, no. 3, 2130-2137 (2025)
Résumé: Building on our previous work on a Hopf resonator that mimics the cochlear amplifier from Reda, Fink, and Lemoult [(2023). Europhys. Lett. 144(3), 37001], we now turn to the fact that the inner ear comprises thousands of such resonators, which interact through coupling mechanisms. To gain insight into these interactions, we investigate the coupling of two acoustic resonators with slightly detuned resonance frequencies, interacting through time-delayed feedback loops. By modulating the gain of the loop and the coupling strength, we demonstrate the emergence of frequency synchronization at low amplitudes and bifurcations leading to desynchronization at higher amplitudes. This tunable non-linear interaction offers insights into resonance phenomena in coupled systems, with potential implications for auditory modeling and complex acoustic systems.
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Analog phase-sensitive time-reversal of optically carried radiofrequency signals Llauze, T., and A. Louchet-Chauvet Optics Letters 50, no. 16, 4874-4877 (2025)
Résumé: Achieving low-latency time-reversal of broadband radiofrequency signals is crucial for reliable communications in dynamic, uncontrolled environments. However, existing approaches are either digitally assisted—making broadband extension challenging—or limited to amplitude modulation. In this work, we report the very first, to our knowledge, experimental realization of a fully analog, phase-preserving time-reversal architecture for optically carried radiofrequency signals. The method exploits the exceptional coherence properties of rare-earth ion-doped materials and leverages the well-established photon echo mechanism, widely used in quantum technologies. While our demonstration is conducted with a modest bandwidth, we identify the fundamental cause of this limitation and propose solutions for future scalability.
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A Sylvester equation approach for the computation of zero-group-velocity points in waveguides Plestenjak, B., D. A. Kiefer, and H. Gravenkamp Computational Mechanics 76, no. 5, 1443-1456 (2025)
Résumé: Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A particular example is found in the dispersion curves of elastic waveguides, where such points are called zero-group-velocity (ZGV) points. Recently, it was revealed that the problem of computing ZGV points can be modeled as a multiparameter eigenvalue problem (MEP), and several numerical methods were devised. Due to their complexity, these methods are feasible only for problems involving small matrices. In this paper, we improve the efficiency of these methods by exploiting the link to the Sylvester equation. This approach enables the computation of ZGV points for problems with much larger matrices, such as multi-layered plates and three-dimensional structures of complex cross-sections.
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