1. Optimizing light storage in scattering media with the dwell-time operator
- Author
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Arthur Goetschy, Rémi Carminati, Sebastien M. Popoff, M. Durand, Université Paris sciences et lettres (PSL), Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Centre National de la Recherche Scientifique (CNRS), Institut Langevin - Ondes et Images (UMR7587) (IL), Sorbonne Université (SU)-Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Université de Paris (UP)-Centre National de la Recherche Scientifique (CNRS), Instituto de Ciencia de Materiales de Madrid (ICMM), Consejo Superior de Investigaciones Científicas [Madrid] (CSIC), Laboratoire de physique et modélisation des milieux condensés (LPM2C), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), ANR-10-LABX-0024,WIFI,Institut Langevin : Ondes et Images, du Fondamental à l'Innovation(2010), PSL Research University (PSL), Ecole Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris-Sciences-et-Lettres (https://www.psl.eu/), Institut Langevin - Ondes et Images, Université Paris Diderot - Paris 7 (UPD7)-ESPCI ParisTech-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Consejo Superior de Investigaciones Científicas [Spain] (CSIC), Université Joseph Fourier - Grenoble 1 (UJF)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), and LABEX WIFI (Laboratory of Excellence within the French Program 'Investments for the Future') under references ANR-10-LABX-24 and ANR-10-IDEX-0001-02 PSL*,LABEX WIFI (Laboratory of Excellence within the French Program 'Investments for the Future') under references ANR-10-LABX-24 and ANR-10-IDEX-0001-02 PSL
- Subjects
Physics ,[PHYS]Physics [physics] ,[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] ,Scattering ,Mean free path ,Operator (physics) ,Mathematical analysis ,FOS: Physical sciences ,General Physics and Astronomy ,transmission matrix ,Disordered Systems and Neural Networks (cond-mat.dis-nn) ,Condensed Matter - Disordered Systems and Neural Networks ,01 natural sciences ,Dwell time ,Matrix (mathematics) ,Wigner Smith operator ,Distribution (mathematics) ,0103 physical sciences ,010306 general physics ,light storage ,scattering media ,Eigenvalues and eigenvectors ,Energy (signal processing) ,Optics (physics.optics) ,Physics - Optics - Abstract
We prove that optimal control of light energy storage in disordered media can be reached by wavefront shaping. For this purpose, we build an operator for dwell-times from the scattering matrix, and characterize its full eigenvalue distribution both numerically and analytically in the diffusive regime, where the thickness $L$ of the medium is much larger than the mean free path $\ell$. We show that the distribution has a finite support with a maximal dwell-time larger than the most likely value by a factor $(L/\ell)^2\gg 1 $. This reveals that the highest dwell-time eigenstates deposit more energy than the open channels of the medium. Finally, we show that the dwell-time operator can be used to store energy in resonant targets buried in complex media., 6 pages, 3 figures, + SI
- Published
- 2019
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