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.

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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