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Related Experiment Videos

Persistent random walk on a site-disordered one-dimensional lattice: photon subdiffusion.

MirFaez Miri1, Zeinab Sadjadi, M Ebrahim Fouladvand

  • 1Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran. miri@iasbs.ac.ir

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
Summary

We investigated photon transport in disordered materials, finding that random properties lead to anomalous diffusion. This persistent random walk behavior, including subdiffusion, can be observed using dielectric film stacks.

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Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Photonics

Background:

  • Photon transport in disordered systems is crucial for understanding light propagation.
  • Random variations in material properties can lead to complex transport behaviors.
  • Anomalous diffusion, including subdiffusion, deviates from classical Fickian diffusion.

Purpose of the Study:

  • To investigate the persistent random walk of photons on a disordered lattice.
  • To predict and confirm diffusive and subdiffusive transport regimes.
  • To propose an experimental method for observing photon subdiffusion.

Main Methods:

  • Theoretical analysis using disorder expansion of mean square displacement.
  • Effective medium approximation for predicting transport regimes.

Related Experiment Videos

  • Monte Carlo simulations to confirm anomalous diffusion.

    • Main Results:

    • Photon transport exhibits diffusive and subdiffusive behaviors depending on transmittance distribution near zero.
    • Disorder expansion and effective medium approximation predict these regimes.
    • Monte Carlo simulations validate the occurrence of anomalous diffusion.

    Conclusions:

    • The study predicts and confirms anomalous photon diffusion in disordered lattices.
    • The behavior is dependent on the probability density function of transmittances.
    • A dielectric film stack is proposed for experimental observation of photon subdiffusion.