Abstract
Long-range correlations play an essential role in wave transport through disordered media, but have rarely been studied in other complex systems. Here we discover spatio-temporal intensity correlations for an optical pulse propagating through a multimode fiber with strong random mode coupling. Positive long-range correlation arises from multiple scattering in fiber mode space and depends on the statistical distribution of arrival times. By optimizing the incident wavefront of a pulse, we maximize the power transmitted at a selected time, and such control is significantly enhanced by the long-range spatio-temporal correlation. We provide an explicit relation between the correlation and the power enhancement, which agrees with experimental results. Our work shows that multimode fibers provide a fertile ground for studying complex wave phenomena. The strong spatio-temporal correlation can be employed for efficient power delivery at a well-defined time.
Highlights
From the aspect of scattering, a multimode fiber (MMF) with strong mode mixing shares similarities with a disordered medium
Inherent imperfections and environmental perturbations introduce random mode coupling in an MMF, and its effect grows with the length of the fiber[25,26]
We discover long-range spatio-temporal correlations in MMFs with strong random mode mixing
Summary
From the aspect of scattering, a multimode fiber (MMF) with strong mode mixing shares similarities with a disordered medium. For a short pulse input, the transmitted intensities in different spatial channels are generally positively correlated at a given arrival time. Pulsed inputs introduce time dependences and non-trivial magnifications to the correlations in MMFs. We consider correlations of the transmitted intensity I(r, t) between different output positions r and r + Δr at arrival times t an t′, CðΔr; t; t′Þ
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