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Speckle evolution of diffusive and localized waves.

Sheng Zhang1, Bing Hu, Patrick Sebbah

  • 1Department of Physics, Queens College, The City University of New York, Flushing, New York 11365, USA.

Physical Review Letters
|October 13, 2007
PubMed
Summary
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Fluctuations in speckle patterns significantly increase during the localization transition. This change in statistics reveals the number of electromagnetic modes interacting with incident waves, offering insights into wave propagation phenomena.

Area of Science:

  • Condensed matter physics
  • Wave propagation phenomena
  • Electromagnetism

Background:

  • Static speckle patterns exhibit generic statistical properties.
  • Understanding dynamic changes in these patterns is crucial for characterizing complex media.

Purpose of the Study:

  • To investigate the statistical behavior of dynamic speckle patterns.
  • To identify how these statistics change during the localization transition.
  • To relate these changes to the underlying electromagnetic modes.

Main Methods:

  • Analysis of probability distributions for phase singularity displacement.
  • Calculation of standard deviations for phase and intensity changes with frequency shifts.
  • Comparison with the probability distribution of total transmission.

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Main Results:

  • Speckle pattern fluctuations are greatly enhanced at the localization transition.
  • Probability distributions and standard deviations follow a universal function dependent on variance.
  • This function is identical to that describing total transmission probability.

Conclusions:

  • The enhanced statistics at the localization transition reflect the number of interacting electromagnetic modes.
  • This provides a new method for probing wave-matter interactions in complex systems.
  • The findings offer insights into the nature of wave localization.