title: Measuring large optical transmission matrices of disordered media.
abstract: We report a measurement of the large optical transmission matrix (TM) of a complex turbid medium. The TM is acquired using polarization-sensitive, full-field interferometric microscopy equipped with a rotating galvanometer mirror. It is represented with respect to input and output bases of optical modes, which correspond to plane wave components of the respective illumination and transmitted waves. The modes are sampled so finely in angular spectrum space that their number exceeds the total number of resolvable modes for the illuminated area of the sample. As such, we investigate the singular value spectrum of the TM in order to detect evidence of open transmission channels, predicted by random-matrix theory. Our results comport with theoretical expectations, given the experimental limitations of the system. We consider the impact of these limitations on the usefulness of transmission matrices in optical measurements.
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea.
authors.forename: Hyeonseung
authors.initials: H
authors.lastname: Yu
authors.affiliation: G. R. Harrison Spectroscopy Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: Timothy R
authors.initials: TR
authors.lastname: Hillman
authors.affiliation: Department of Physics, Korea University, Seoul 136-701, South Korea.
authors.forename: Wonshik
authors.initials: W
authors.lastname: Choi
authors.affiliation: Department of Mathematical Science, Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea.
authors.forename: Ji Oon
authors.initials: JO
authors.lastname: Lee
authors.affiliation: G. R. Harrison Spectroscopy Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: Michael S
authors.initials: MS
authors.lastname: Feld
authors.affiliation: G. R. Harrison Spectroscopy Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: Ramachandra R
authors.initials: RR
authors.lastname: Dasari
authors.affiliation: Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea.
authors.forename: YongKeun
authors.initials: Y
authors.lastname: Park
mesh_terms: D008857:Microscopy, Interference / Q000295:instrumentation / Q000379:methods; D008962:Models, Theoretical; D053758:Nanoparticles / Q000737:chemistry; D009391:Nephelometry and Turbidimetry; D055095:Optics and Photonics / Q000295:instrumentation* / Q000379:methods*; D011789:Quantum Theory; D012542:Scattering, Radiation; D015034:Zinc Oxide / Q000737:chemistry
chemical_list: D015034:Zinc Oxide