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Velocities of transmission eigenchannels and diffusion

Author

Listed:
  • Azriel Z. Genack

    (Queens College of the City University of New York
    The Graduate Center of the City University of New York)

  • Yiming Huang

    (Queens College of the City University of New York
    The Graduate Center of the City University of New York
    Jinhua No.1 High School)

  • Asher Maor

    (Queens College of the City University of New York
    The Graduate Center of the City University of New York
    Hopewell Junction)

  • Zhou Shi

    (Queens College of the City University of New York
    The Graduate Center of the City University of New York
    OFS Labs)

Abstract

The diffusion model is used to calculate both the time-averaged flow of particles in stochastic media and the propagation of waves averaged over ensembles of disordered static configurations. For classical waves exciting static disordered samples, such as a layer of paint or a tissue sample, the flux transmitted through the sample may be dramatically enhanced or suppressed relative to predictions of diffusion theory when the sample is excited by a waveform corresponding to a transmission eigenchannel. Even so, it is widely assumed that the velocity of waves is irretrievably randomized in scattering media. Here we demonstrate in microwave measurements and numerical simulations that the statistics of velocity of different transmission eigenchannels are distinct and remains so on all length scales and are identical on the incident and output surfaces. The interplay between eigenchannel velocities and transmission eigenvalues determines the energy density within the medium, the diffusion coefficient, and the dynamics of propagation. The diffusion coefficient and all scattering parameters, including the scattering mean free path, oscillate with the width of the sample as the number and shape of the propagating channels in the medium change.

Suggested Citation

  • Azriel Z. Genack & Yiming Huang & Asher Maor & Zhou Shi, 2024. "Velocities of transmission eigenchannels and diffusion," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46748-0
    DOI: 10.1038/s41467-024-46748-0
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    References listed on IDEAS

    as
    1. A. A. Chabanov & M. Stoytchev & A. Z. Genack, 2000. "Statistical signatures of photon localization," Nature, Nature, vol. 404(6780), pages 850-853, April.
    2. Matthieu Davy & Zhou Shi & Jongchul Park & Chushun Tian & Azriel Z. Genack, 2015. "Universal structure of transmission eigenchannels inside opaque media," Nature Communications, Nature, vol. 6(1), pages 1-6, November.
    3. Zhou Shi & Azriel Z. Genack, 2018. "Diffusion in translucent media," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    4. Tal Schwartz & Guy Bartal & Shmuel Fishman & Mordechai Segev, 2007. "Transport and Anderson localization in disordered two-dimensional photonic lattices," Nature, Nature, vol. 446(7131), pages 52-55, March.
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