Scaling properties of delay times in one-dimensional random media

ORAL

Abstract

The scaling properties of the inverse moments of Wigner delay times are investigated in finite one-dimensional (1D) random media with one channel attached to the boundary of the sample. We find that they follow a simple scaling law which is independent of the microscopic details of the random potential. Our theoretical considerations are confirmed numerically for systems as diverse as 1D disordered wires and optical lattices to microwave waveguides with correlated scatterers.

*This research was supported by a grant from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.

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Authors

  • Joshua Bodyfelt

    • Department of Physics, Wesleyan University, Middletown, Connecticut
    • Dept. of Physics, Wesleyan University

  • Antonio Mendez-Bermudez

    • Instituto de Fisica, Universidad Autonoma de Puebla, Puebla, Mexico

  • Andrey Chabanov

    • Department of Physics and Astronomy, The University of Texas at San Antonio, Texas

  • Tsampikos Kottos

    • Department of Physics, Wesleyan University, Middletown CT-USA and MPI for Dynamics and Self-Organization, G\"ottingen-Germany
    • Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA and MPI for Dynamics and Self-Organization, 37073 Goettingen, Germany
    • Department of Physics, Wesleyan University, Middletown, Connecticut
    • Department of Physics, Wesleyan University, Middletown CT-USA and MPI for Dynamics and Self-Organization, Goettingen-Germany
    • Max Planck Institute for Dynamics \& Self-Organization. AND Dept. of Physics, Wesleyan University