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

Seismic wave interaction with buried cavity networks: Analytical modeling and resonance effects Maurel, A., S. Brulé, S. Guenneau, and K. Pham Wave Motion 141, 103666 (2026) Résumé: We study the scattering of elastic waves by a periodic array of cavities buried in an elastic half-space. This configuration is relevant in seismology, where shallow voids can locally amplify ground motion. Building on homogenized interface models developed for infinite media, we extend the approach to account for the presence of a stress-free surface. The resulting model yields an analytical solution to the 2D elastodynamic problem for incident longitudinal L and transverse T waves. A semi-analytical multimodal solution is used for validation. The analysis reveals the conditions under which resonances occur in the soil layer between the cavity tops and the surface, with particular emphasis on the low-frequency resonance that dominates in seismic contexts. The model identifies the key parameters governing resonance and provides insights into the transition from infinite to finite cavity arrays. It offers a simplified yet accurate framework for assessing site-specific seismic amplification.
Open Transmission Channels in Multimode Fiber Cavities with Random Mode Mixing Pelc, G., S. Guterman, R. Gutiérrez-Cuevas, A. Goetschy, S. M. Popoff, and Y. Bromberg Physical Review Letters 135, no. 17, 173801 (2025) Résumé: The transport of light in disordered media is governed by open transmission channels, which enable nearly complete transmission of the incident power, despite low average transmission. Extensively studied in diffusive media and chaotic cavities, open channels exhibit unique properties such as universal spatial structure and extended dwell times. However, their experimental study is challenging due to the large number of modes required for control and measurement. We propose a multimode fiber cavity (MMFC) as a platform to explore open channels. Leveraging mode confinement and finite angular spread, MMFCs enable a full control over all channels. This allowed us to achieve an 18-fold power enhancement by selectively exciting an open channel with a transmission rate of 0.90+/-0.04. By analyzing 100 transmission matrices of MMFC realizations, we observed a bimodal transmission eigenvalue distribution, indicating high channel control and low losses. The scalability of MMFCs, combined with long dwell times and potential for nonlinear phenomena, offers new opportunities for studying complex wave transport. Mots-clés: wavefront shaping; transmission matrix; multimode fiber; bimodal distribution; total transmission
Localization structure of electronic states in the quantum Hall effect Seye, A., and M. Filoche Physical Review B 112, no. 14 (2025) Résumé: We investigate the localization of electronic states in the integer quantum Hall effect using a magnetic localization landscape (MLL) approach. By studying a continuum Schrödinger model with disordered electrostatic potential, we demonstrate that the MLL, defined via a modified landscape function incorporating magnetic effects, captures key features of quantum state localization. The MLL effective potential reveals the spatial confinement regions and provides predictions of eigenstate energies, particularly in regimes where traditional semiclassical approximations break down. Numerical simulations show that below a critical energy, states localize around minima of the effective potential, while above it they cluster around maxima—with edge effects becoming significant near boundaries. Bridging the gap between semiclassical intuition and full quantum models, the MLL offers a robust framework to understand transport and localization in disordered quantum Hall systems and extends the applicability of landscape theory to magnetic systems.
Open channels and radiation trapping eigenstates in complex resonant media Rescanieres, R., R. Pierrat, and A. Goetschy Physical Review Research 7, no. 3, 033273 (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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