Theory of Waves (TDO)

Example of diffuse (left) and localized (right) modes in a correlated disordered medium

Speckle pattern in a strongly scattering medium generated numerically

Disordered hyperuniform pattern of points. When dressed with material scatterers, this ensemble has remarkable optical properties (transparency, absorption, localisation).

Permanent staff

Rémi CARMINATI

Tel.: +33 (0)1 80 96 30 72

Marcel FILOCHE

Tel.: +33 (0)1 80 96 30 82

Arthur GOETSCHY

Tel.: +33 (0)1 80 96 39 46

Agnès MAUREL

Pierre MILLIEN

Tel.: +33 (0)1 80 96 30 51

Romain PIERRAT

Tel.: +33 (0)1 80 96 30 70

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Anderson mobility edge as a percolation transition Filoche, M., P. Pelletier, D. Delande, and S. Mayboroda Physical Review B 109, no. 22 (2024) Abstract: The location of the mobility edge is a long-standing problem in Anderson localization. In this Letter, we show that the effective confining potential introduced in the localization landscape (LL) theory predicts the onset of delocalization in 3D tight-binding models in a large part of the energy-disorder diagram. Near the edge of the spectrum, the eigenstates are confined inside the basins of the LL-based potential. The delocalization transition corresponds to the progressive merging of these basins, resulting in the percolation of this classically allowed region throughout the system. This approach, shown to be valid both in the cases of uniform and binary disorders despite their very different phase diagrams, allows us to reinterpret the Anderson transition in the tight-binding model: the mobility edge appears to be composed of two parts, one being understood as a percolation transition.
Delivering broadband light deep inside diffusive media Mcintosh, R., A. Goetschy, N. Bender, A. Yamilov, C. W. Hsu, H. Yılmaz, and H. Cao Nature Photonics (2024) Abstract: Wavefront shaping enables the targeted delivery of coherent light into random-scattering media, such as biological tissue, by the constructive interference of scattered waves. However, broadband waves have short coherence times, weakening the interference effect. Here we introduce a broadband deposition matrix that identifies a single input wavefront that maximizes the broadband energy delivered to an extended target deep inside a diffusive system. We experimentally demonstrate that long-range spatial and spectral correlations result in sixfold energy enhancement for targets containing 1,700 speckle grains and located at a depth of up to ten transport mean free paths, even when the coherence time is an order of magnitude shorter than the diffusion dwell time of light in the scattering sample. In the broadband (fast decoherence) limit, enhancement of energy delivery to extended targets becomes nearly independent of the target depth and dissipation. Our experiments, numerical simulations and analytic theory establish the fundamental limit for broadband energy delivery deep into a diffusive system, which has important consequences for practical applications.
Beyond Order: Random, Aperiodic, and Hyperuniform Photonic Materials: introduction to the special issue Negro, L. D. A. L., C. A. O. Hui, M. Filoche, S. A. Schulz, S. Vignolini, and D. S. Wiersma Optical Materials Express 14, no. 5, 1293-1294 (2024) Abstract: The editors introduce the feature issue on “Beyond Order: Random, Aperiodic, and Hyperuniform Photonic Materials,” which includes nine articles.
Multiple scattering theory in one dimensional space and time dependent disorder: average field [Invited] Selvestrel, A., J. Rocha, R. Carminati, and R. Pierrat Optical Materials Express 14, no. 3, 801-815 (2024) Abstract: We theoretically study the propagation of light in one-dimensional space- and time-dependent disorder. The disorder is described by a fluctuating permittivity ε(x, t) exhibiting short-range correlations in space and time, without cross correlation between them. Depending on the illumination conditions, we show that the intensity of the average field decays exponentially in space or in time, with characteristic length or time defining the scattering mean-free path ℓs and the scattering mean-free time τs. In the weak scattering regime, we provide explicit expressions for ℓs and τs, that are checked against rigorous numerical simulations.

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Presentation of the thematics

Our theoretical activities (modeling, analytical and statistical approaches, numerical simulations) aim to understand the properties of waves (optical, acoustic, electronic) in their interactions with matter and their propagation. These activities cover three major themes: the study of inherently complex systems (biological tissues, disordered semiconductors, multimode fibers, chaotic cavities, networks); the control of material complexity (correlated disorder, local resonances, time-dependent media); and wave control (spatial, spectral for classical waves, state nature for quantum waves).

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Active collaborations

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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Theory of Waves (TDO)

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