title: Imaging with nature: compressive imaging using a multiply scattering medium.
abstract: The recent theory of compressive sensing leverages upon the structure of signals to acquire them with much fewer measurements than was previously thought necessary, and certainly well below the traditional Nyquist-Shannon sampling rate. However, most implementations developed to take advantage of this framework revolve around controlling the measurements with carefully engineered material or acquisition sequences. Instead, we use the natural randomness of wave propagation through multiply scattering media as an optimal and instantaneous compressive imaging mechanism. Waves reflected from an object are detected after propagation through a well-characterized complex medium. Each local measurement thus contains global information about the object, yielding a purely analog compressive sensing method. We experimentally demonstrate the effectiveness of the proposed approach for optical imaging by using a 300-micrometer thick layer of white paint as the compressive imaging device. Scattering media are thus promising candidates for designing efficient and compact compressive imagers.
authors.affiliation: 1] Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France [2] Inria, CNRS, Loria UMR 7503 Villers-lès-Nancy, France.
authors.forename: Antoine
authors.initials: A
authors.lastname: Liutkus
authors.affiliation: 1] Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France [2] Laboratoire Kastler-Brossel, UMR8552 CNRS, Ecole Normale Supérieure, Univ. Paris 6, Collège de France, 24 rue Lhomond, 75005 PARIS.
authors.forename: David
authors.initials: D
authors.lastname: Martina
authors.affiliation: Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France.
authors.forename: Sébastien
authors.initials: S
authors.lastname: Popoff
authors.affiliation: 1] Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France [2] Acoustics Research Institute, Austrian Academy of Sciences, Vienna.
authors.forename: Gilles
authors.initials: G
authors.lastname: Chardon
authors.affiliation: 1] Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France [2] Laboratoire Kastler-Brossel, UMR8552 CNRS, Ecole Normale Supérieure, Univ. Paris 6, Collège de France, 24 rue Lhomond, 75005 PARIS.
authors.forename: Ori
authors.initials: O
authors.lastname: Katz
authors.affiliation: Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France.
authors.forename: Geoffroy
authors.initials: G
authors.lastname: Lerosey
authors.affiliation: 1] Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France [2] Laboratoire Kastler-Brossel, UMR8552 CNRS, Ecole Normale Supérieure, Univ. Paris 6, Collège de France, 24 rue Lhomond, 75005 PARIS.
authors.forename: Sylvain
authors.initials: S
authors.lastname: Gigan
authors.affiliation: Institut Langevin, ESPCI ParisTech, Paris Diderot Univ., UPMC Univ. Paris 6, CNRS UMR 7587, Paris, France.
authors.forename: Laurent
authors.initials: L
authors.lastname: Daudet
authors.affiliation: TEES SERC, Texas A&M University.
authors.forename: Igor
authors.initials: I
authors.lastname: Carron