title: Universal structure of transmission eigenchannels inside opaque media.
abstract: As the desire to explore opaque materials is ordinarily frustrated by multiple scattering of waves, attention has focused on the transmission matrix of the wave field. This matrix gives the fullest account of transmission and conductance and enables the control of the transmitted flux; however, it cannot address the fundamental issue of the spatial profile of eigenchannels of the transmission matrix inside the sample. Here we obtain a universal expression for the average disposition of energy of transmission eigenchannels within random diffusive systems in terms of auxiliary localization lengths determined by the corresponding transmission eigenvalues. The spatial profile of each eigenchannel is shown to be a solution of a generalized diffusion equation. These results reveal the rich structure of transmission eigenchannels and enable the control of the energy distribution inside random media.
authors.affiliation: Institut d'Electronique et de Télécommunications de Rennes, University of Rennes 1, Rennes 35042, France.
authors.forename: Matthieu
authors.initials: M
authors.lastname: Davy
authors.affiliation: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.|The Graduate Center, CUNY, 365 Fifth Avenue, New York, New York 10016, USA.
authors.forename: Zhou
authors.initials: Z
authors.lastname: Shi
authors.affiliation: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.|The Graduate Center, CUNY, 365 Fifth Avenue, New York, New York 10016, USA.
authors.forename: Jongchul
authors.initials: J
authors.lastname: Park
authors.affiliation: Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
authors.forename: Chushun
authors.initials: C
authors.lastname: Tian
authors.affiliation: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.|The Graduate Center, CUNY, 365 Fifth Avenue, New York, New York 10016, USA.
authors.forename: Azriel Z
authors.initials: AZ
authors.lastname: Genack