Fig. 6: Turbulence-induced modal power coupling under 200 different turbulence realizations and our turbulence probing results in simulation and experiment.

a Simulated and experimentally measured \(P\left({{{{{\mathscr{l}}}}}}{{{{{\mathscr{=}}}}}}0\right)\) for Beam 1 and 2 under 200 turbulence realizations for the four different turbulence distribution cases. b original turbulence and probed turbulence in simulation and experiment. To directly compare probed turbulence strengths with the emulated ones, we show the probing results in terms of the Fried parameters \({r}_{0}\) instead of the \({C}_{n}^{2}\). These two parameters are mutually related by Eq. (3). Based on Eq. (3), the equivalent \({C}_{n}^{2}\) of the stronger turbulence region is up to ~30X (~15 dB) larger than that of the weaker one.