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Updated: Jun 30, 2025

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Velocities of transmission eigenchannels and diffusion.

Azriel Z Genack1,2, Yiming Huang3,4,5, Asher Maor3,4,6

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Wave propagation in disordered media is not random. Distinct transmission eigenchannels maintain unique velocities, influencing wave dynamics and scattering parameters, challenging long-held assumptions in wave diffusion.

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Area of Science:

  • Wave physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Diffusion models predict wave randomization in disordered media.
  • Transmission eigenchannels can enhance or suppress wave flux.
  • Wave velocity is often assumed to be randomized in scattering media.

Purpose of the Study:

  • To investigate the velocity statistics of transmission eigenchannels in disordered media.
  • To determine if wave velocity is truly randomized or retains distinct characteristics.
  • To explore the relationship between eigenchannel velocities and wave propagation dynamics.

Main Methods:

  • Microwave measurements on disordered samples.
  • Numerical simulations of wave propagation.
  • Analysis of transmission eigenchannel properties.

Main Results:

  • Wave velocities of different transmission eigenchannels are distinct and scale-invariant.
  • Eigenchannel velocities are identical at incident and output surfaces.
  • Diffusion coefficient and scattering parameters oscillate with sample width.

Conclusions:

  • Wave velocity in scattering media is not irretrievably randomized.
  • Transmission eigenchannels possess unique, persistent velocity statistics.
  • Eigenchannel properties dictate energy density, diffusion, and propagation dynamics.