title: Transmission eigenchannels and the densities of states of random media.
abstract: We show in microwave measurements and computer simulations that the contribution of each eigenchannel of the transmission matrix to the density of states (DOS) is the derivative with angular frequency of a composite phase shift. The accuracy of the measurement of the DOS determined from transmission eigenchannels is confirmed by the agreement with the DOS found from the decomposition of the field into modes. The distribution of the DOS, which underlies the Thouless number, is substantially broadened in the Anderson localization transition. We find a crossover from constant to exponential scaling of fluctuations of the DOS normalized by its average value. These results illuminate the relationships between scattering, stored energy, and dynamics in complex media.
authors: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA and Institut d'Electronique et de Télécommunications de Rennes, University of Rennes 1, Rennes 35042, France.
authors: Matthieu
authors: M
authors: Davy
authors: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.
authors: Zhou
authors: Z
authors: Shi
authors: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.
authors: Jing
authors: J
authors: Wang
authors: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.
authors: Xiaojun
authors: X
authors: Cheng
authors: Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA.
authors: Azriel Z
authors: AZ
authors: Genack