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Intensity of Waves Inside a Strongly Disordered Medium.

S E Skipetrov1, I M Sokolov2

  • 1Univ. Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France.

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|December 24, 2019
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Summary
This summary is machine-generated.

Anderson localization in 3D disordered media does not cause exponential intensity decay. Instead, intensity remains constant, then drops sharply, and stays low, revealing scale-free distributions at mobility edges.

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Area of Science:

  • Condensed matter physics
  • Wave propagation in disordered systems

Background:

  • Anderson localization describes the suppression of wave propagation in disordered systems.
  • Previous models predicted exponential decay of wave intensity with depth.

Purpose of the Study:

  • To investigate the spatial distribution of wave intensity in 3D disordered media.
  • To test competing theories of Anderson localization.
  • To identify limitations in current theoretical models.

Main Methods:

  • Numerical simulations of wave propagation in strongly disordered 3D media.
  • Analysis of average intensity spatial distribution.
  • Examination of intensity fluctuations at mobility edges.

Main Results:

  • Average intensity remains constant in the first half of a disordered slab.
  • A sharp intensity drop occurs in the middle of the sample.
  • Scale-free intensity distributions with significant fluctuations are observed at mobility edges.
  • Numerical results challenge the self-consistent theory of Anderson localization.

Conclusions:

  • Anderson localization in 3D disordered media exhibits a non-exponential intensity decay.
  • The study provides evidence against the self-consistent theory.
  • Observed phenomena are crucial for understanding wave transport in disordered materials.