Transmission Eigenchannels and the Densities of States of Random Media

Matthieu Davy, Zhou Shi, Jing Wang, Xiaojun Cheng, and Azriel Z. Genack
Phys. Rev. Lett. 114, 033901 – Published 23 January 2015
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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.

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  • Received 22 April 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.033901

© 2015 American Physical Society

Authors & Affiliations

Matthieu Davy1,2, Zhou Shi1, Jing Wang1,*, Xiaojun Cheng1, and Azriel Z. Genack1

  • 1Department of Physics, Queens College of the City University of New York, Flushing, New York 11367, USA
  • 2Institut d’Electronique et de Télécommunications de Rennes, University of Rennes 1, Rennes 35042, France

  • *Present address: Massachusetts General Hospital, Wellman Center for Photomedicine, Harvard Medical School, 50 Blossom Street, Boston, MA 02114, USA.

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Vol. 114, Iss. 3 — 23 January 2015

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