Théorie des ondes (TDO)

Exemple de mode diffus (gauche) et localisé (droit) dans un milieu désordonné corrélé

Figure de speckle au sein d'un milieu désordonné générée numériquement

Réseau désordonné hyperuniforme de points. Une fois habillé par des diffuseurs matériels, cet ensemble présente des propriétés optiques remarquables (transparence, absorption, localisation).

Responsable

Arthur GOETSCHY

Tél. : 01 80 96 39 46

Co-responsable

Romain PIERRAT

Tél. : 01 80 96 30 70

Membres permanents

Rémi CARMINATI

Tél. : 01 80 96 30 72

Marcel FILOCHE

Tél. : 01 80 96 30 82

Arthur GOETSCHY

Tél. : 01 80 96 39 46

Agnès MAUREL

Tél. : 01 80 96 30 71

Pierre MILLIEN

Tél. : 01 80 96 30 51

Romain PIERRAT

Tél. : 01 80 96 30 70

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Actualités

Homogenized Korteweg–de Vries and Boussinesq models for anisotropic propagation of solitary waves over a structured bathymetry Pham, K., A. Maurel, and A. Chabchoub Journal of Fluid Mechanics 1024 (2025) Résumé: We derive effective Boussinesq and Korteweg–de Vries equations governing nonlinear wave propagation over a structured bathymetry using a three-scale homogenization approach. The model captures the anisotropic effects induced by the bathymetry, leading to significant modifications in soliton dynamics. Homogenized parameters, determined from elementary cell problems, reveal strong directional dependencies in wave speed and dispersion. Our results provide new insights into nonlinear wave propagation in structured shallow-water environments, and consequently motivate further fundamental and applied studies in wave hydrodynamics and coastal engineering.
Characterization of temporal aiming for water waves with an anisotropic metabathymetry Koukouraki, M., P. Petitjeans, A. Maurel, and V. Pagneux Physical Review B 112, no. 21, 1-9 (2025) Résumé: The deflection of waves by combining the effects of time modulation with anisotropy has been recently proposed in the context of electromagnetism. In this work, we characterize this phenomenon, called temporal aiming, for water waves using a time-varying metabathymetry. This metabathymetry is composed of thin vertical plates that are periodically arranged at the fluid bottom and which act as an effective anisotropic medium for the surface wave in the long-wavelength approximation. When this plate array is vertically lifted at the fluid bottom at a given time, the medium switches from isotropic to anisotropic, causing a wave packet to scatter in time and deflect from its initial trajectory. Following a simple modeling, we obtain the scattering coefficients of the two waves generated due to the sudden medium change as well as the angle of deviation with respect to the incident angle. We then numerically evaluate this scattering problem with simulations of the full two-dimensional effective anisotropic wave equation, with a time-dependent anisotropy tensor. Finally, we provide experimental evidence of the temporal aiming, using space-time resolved measurement techniques, demonstrating the trajectory shift of a wave packet and measuring its angle of deviation.
A diffusion model for light scattering in ejecta Don Jayamanne, J. A., J. R. Burie, O. Durand, R. Pierrat, and R. Carminati Journal of Applied Physics 138, no. 20 (2025) Résumé: We derive a diffusion equation for light scattering from ejecta produced by extreme shocks on metallic samples. This model is easier to handle than a more conventional model based on the Radiative Transfer Equation (RTE) and is a relevant tool to analyze spectrograms obtained from Photon Doppler Velocimetry measurements in the deep multiple scattering regime. We also determine the limits of validity of the diffusive model compared to the RTE, based on a detailed analysis of various ejecta properties in configurations with increasing complexity.
Harnessing coherent-wave control for sensing applications Jara, P., A. Goetschy, H. Cao, and A. Yamilov Physical Review Applied 24, no. 5 (2025)

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Présentation du thème

Nos activités théoriques (modélisation, approches analytiques et statistiques, simulations numériques) visent à comprendre les propriétés des ondes (optiques, acoustiques, électroniques) dans leurs interactions avec la matière et leur propagation. Ces activités couvrent 3 grandes thématiques : l’étude de systèmes complexes par nature (tissus biologiques, semi-conducteurs désordonnés, fibres multi-modes, cavités chaotiques, réseaux) ; le contrôle de la complexité des matériaux (désordre corrélé, résonance locales, milieux dépendant du temps) ; et le contrôle des ondes (spatial, spectral pour les ondes classiques, nature de l’état pour les ondes quantiques).

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Thèses, Notes scientifiques, Cours

Collaborations actives

Habib Ammari, Department of Mathematics, ETH Zurich
Geoffroy Aubry, Institut de Physique de Nice
Jean-Philippe Banon, Laboratoire Charles Fabry, Institut d’Optique Graduate School
Élie Bretin, Pôle de Mathématiques, INSA Lyon
Yaron Bromberg, Complex Photonics Lab, The Hebrew University of Jerusalem
CEA DAM
Hui Cao, Hui Cao Research Laboratory, Yale University
Nicolas Cherroret, Complex Quantum Systems, Laboratoire Kastler Brossel
Hilton de Aguiar, Optical imaging in biological and complex media, Laboratoire Kastler Brossel
Aristide Dogariu, Photonics Diagnostics of Random Media, University of Central Florida
Sylvain Gigan, Optical imaging in biological and complex media, Laboratoire Kastler Brossel
Wade Hsu, Optics in Complex Systems, USC
Ori Katz, Advanced Imaging Lab, The Hebrew University of Jerusalem
Fabrice Mortessagne, Institut de Physique de Nice
Sushil Mujumdar Nano-Optics & Mesoscopic Optics Laboratory, TIFR

Vincent Pagneux, LAUM, Le Mans
Philippe Petitjeans, PMMH, ESPCI Paris - PSL
Kim Pham, LMI, ENSTA Paris
Stefan Rotter, Nonlinear dynamics & Complex scattering, Vienna University of Technology
L’Oréal
Saint-Gobain Recherche
Riccardo Sapienza, Complex Nanophotonics, King’s College London
Frank Scheffold, Soft Matter Photonics, University of Fribourg
John Schotland, Department of Mathematics, Yale University
Laurent Seppecher, École Centrale de Lyon
Boris Shapiro, Technion
Simons collaboration on Localization of Waves
Ingve Simonsen, NTNU, Trondheim
Douglas Stone, Department of Applied Physics, Yale University
Nicolas Treps, Quantum Optics group, Laboratoire Kastler Brossel
Damien Vandembroucq, PMMH, ESPCI Paris - PSL
Silvia Vignolini, Max Planck Institute of colloids and interfaces, Potsdam
Kevin Vynck, Institut Lumière Matière, Lyon
Alexey Yamilov, METIS group, MST
Hasan Yılmaz, Bilkent University

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