Long-range correlation of transmitted light through transmission eigenchannels in disordered media

This is the authors' abstract. We don't add key points for this paper.

Long-range correlation characterizes the nondiffusive scattering paths of light through disordered media, playing an important role in the coherent control of multiply scattered light. Here, we report the long-range correlation of subsets of coherently interacting scattering paths, known as transmission eigenchannels. We find that the high-transmission eigenchannels exhibit a negative long-range correlation, in contrast to conventional positive long-range correlation. Moreover, when the transmission decreases, a prominent negative-to-positive transition of long-range correlation emerges for these eigenchannels. Finally, we demonstrate that this intriguing negative-to-positive transition originates from the characteristic transmission fluctuations of the eigenchannels. Our study provides valuable insights into the long-range correlation of scattered light in disordered media, constituting an important step toward advanced control of scattered light by manipulating the long-range correlation.