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

Localization-landscape generalized Mott-Berezinskiĭ formula Hayoun, G., I. A. Gruzberg, and M. Filoche Physical Review B 113, no. 10 (2026)
Acoustic transparency and absorption in dense granular suspensions Tourin, A., Y. Abraham, M. Palla, A. Le Ber, R. Pierrat, N. Benech, C. Negreira, and X. Jia Physical Review E 113, no. 2 (2026) Résumé: We demonstrate the existence of a frequency band exhibiting acoustic transparency in two- and three-dimensional dense granular suspensions, enabling the transmission of a low-frequency ballistic wave excited by a high-frequency broadband ultrasound pulse. This phenomenon is attributed to spatial correlations in the structural disorder of the medium. To support this interpretation, we use an existing model that incorporates such correlations via the structure factor. Its predictions are shown to agree well with those of the generalized coherent potential approximation (GCPA) model, which is known to apply at high volume fractions, including the close packing limit, but does not explicitly account for disorder correlation. Within the transparency band, attenuation is found to be dominated by absorption rather than scattering. Measurements of the frequency dependence of the absorption coefficient reveal significant deviations from conventional models, challenging the current understanding of acoustic absorption in dense granular media.
From percolation transition to Anderson localization in one-dimensional speckle potentials Vrech, M., J. Major, D. Delande, M. Filoche, and N. Cherroret New Journal of Physics 28, no. 2, 024508 (2026)
Guiding waves through chaos: Universal bounds for targeted mode transport Wang, C. Z., J. Guillamon, U. Kuhl, M. Davy, M. Reisner, A. Goetschy, and T. Kottos Science Advances 12, no. 5, eaeb1158 (2026) Résumé: Controlling wave propagation in complex environments is a central challenge across wireless communications, imaging, and acoustics, where multiple scattering and interference obscure direct transmission paths. Coherent wavefront shaping enables precise energy delivery but typically requires full knowledge of the medium. Here, we introduce a universal statistical framework for targeted mode transport (TMT) that circumvents this limitation and validate it on various platforms including microwave networks, two-dimensional chaotic cavities, and three-dimensional reverberation chambers. TMT quantifies the efficiency of transferring energy between specified input and output channels in multimode wave-chaotic systems. We develop a diagrammatic theory that predicts the eigenvalue distribution of the TMT operator and identifies the macroscopic parameters-coupling strength, absorption, and channel control-that govern performance. The theory provides explicit bounds for optimal TMT wavefronts and captures phenomena like statistical transmission gaps and reflectionless states. These findings establish design principles for energy delivery and information transfer in complex environments, with broad implications for adaptive signal processing and wave-based technologies.

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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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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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Théorie des ondes (TDO)

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