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Related Experiment Videos

High-frequency dynamics of wave localization.

C W Beenakker1, K J van Bemmel, P W Brouwer

  • 1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Localization impacts pulse propagation in disordered waveguides. The wave amplitude correlator exhibits a stretched exponential tail, with a time constant determined by diffusion, even beyond the localization length.

Area of Science:

  • Condensed Matter Physics
  • Wave Propagation
  • Disordered Systems

Background:

  • Understanding wave phenomena in disordered media is crucial for various applications.
  • Localization effects can significantly alter wave transport properties.
  • Multimode waveguides introduce complexity in wave propagation dynamics.

Purpose of the Study:

  • To investigate the influence of localization on pulse propagation in multimode disordered waveguides.
  • To analyze the frequency dependence of the transmitted wave amplitude correlator.
  • To determine the role of diffusion and localization length in wave transport.

Main Methods:

  • Theoretical analysis of the transmitted wave amplitude correlator
  • Calculation of the correlator's behavior for large frequency differences (delta omega).

Related Experiment Videos

  • Examination of the interplay between waveguide length (L) and localization length (xi).

    • Main Results:

    • The correlator displays a stretched exponential tail for large delta omega, proportional to (- square root[tau(D)delta omega/2]).
    • The time constant tau(D) is governed by the diffusion coefficient (D), irrespective of L >> xi.
    • Localization introduces a frequency-independent factor exp(-L/2 xi) to the correlator, which vanishes when time-reversal symmetry is broken.

    Conclusions:

    • Localization significantly modifies wave pulse propagation in disordered multimode waveguides.
    • The diffusion coefficient dictates the characteristic time scale of the correlator's tail.
    • The observed localization effect is dependent on time-reversal symmetry.