Universal structure of transmission eigenchannels inside opaque media

Matthieu Davy, Zhou Shi, Jongchul Park, Chushun Tian and Azriel Z. Genack ()
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Matthieu Davy: Institut d’Electronique et de Télécommunications de Rennes, University of Rennes 1
Zhou Shi: Queens College of the City University of New York
Jongchul Park: Queens College of the City University of New York
Chushun Tian: Institute for Advanced Study, Tsinghua University
Azriel Z. Genack: Queens College of the City University of New York

Nature Communications, 2015, vol. 6, issue 1, 1-6

Abstract: Abstract As the desire to explore opaque materials is ordinarily frustrated by multiple scattering of waves, attention has focused on the transmission matrix of the wave field. This matrix gives the fullest account of transmission and conductance and enables the control of the transmitted flux; however, it cannot address the fundamental issue of the spatial profile of eigenchannels of the transmission matrix inside the sample. Here we obtain a universal expression for the average disposition of energy of transmission eigenchannels within random diffusive systems in terms of auxiliary localization lengths determined by the corresponding transmission eigenvalues. The spatial profile of each eigenchannel is shown to be a solution of a generalized diffusion equation. These results reveal the rich structure of transmission eigenchannels and enable the control of the energy distribution inside random media.

Date: 2015
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DOI: 10.1038/ncomms7893

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