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Experimental mitigation of the effects of the limited size aperture or misalignment by singular-value-decomposition-based beam orthogonalization in a free-space optical link using Laguerre–Gaussian modes

Abstract

Limited-size receiver (Rx) apertures and transmitter–Rx (Tx–Rx) misalignments could induce power loss and modal crosstalk in a mode-multiplexed free-space link. We experimentally demonstrate the mitigation of these impairments in a 400 Gbit/s four-data-channel free-space optical link. To mitigate the above degradations, our approach of singular-value-decomposition-based (SVD-based) beam orthogonalization includes (1) measuring the transmission matrix $\text{H}$ for the link given a limited-size aperture or misalignment; (2) performing SVD on the transmission matrix to find the $\text{U}$, $\Sigma$, and $\text{V}$ complex matrices; (3) transmitting each data channel on a beam that is a combination of Laguerre–Gaussian modes with complex weights according to the $\text{V}$ matrix; and (4) applying the $\text{U}$ matrix to the channel demultiplexer at the Rx. Compared with the case of transmitting each channel on a beam using a single mode, our experimental results when transmitting multi-mode beams show that (a) with a limited-size aperture, the power loss and crosstalk could be reduced by ${\sim}{8}$ and ${\sim}{23}\;\text{dB}$, respectively; and (b) with misalignment, the power loss and crosstalk could be reduced by ${\sim}{15}$ and ${\sim}{40}\;\text{dB}$, respectively.

© 2020 Optical Society of America

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