2021
DOI: 10.1038/s42256-021-00347-6
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Reusability report: Predicting spatiotemporal nonlinear dynamics in multimode fibre optics with a recurrent neural network

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Cited by 25 publications
(11 citation statements)
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“…The triple multiplications (AlAmAn*) with varying strengths of interaction (ηp,l,m,n) between different sets of modes demonstrate the nonlinear and immensely multimodal aspect of the interactions such that modeling the transform of a single pulse on the setup provided in Fig. 1 would take 50 min with a graphics processing unit (GPU) 42 . The physical optical system carries out this complex spatiotemporal transformation “effortlessly.” The transformation is programmed with a relatively small number of PPs.…”
Section: Methods and Resultsmentioning
confidence: 99%
“…The triple multiplications (AlAmAn*) with varying strengths of interaction (ηp,l,m,n) between different sets of modes demonstrate the nonlinear and immensely multimodal aspect of the interactions such that modeling the transform of a single pulse on the setup provided in Fig. 1 would take 50 min with a graphics processing unit (GPU) 42 . The physical optical system carries out this complex spatiotemporal transformation “effortlessly.” The transformation is programmed with a relatively small number of PPs.…”
Section: Methods and Resultsmentioning
confidence: 99%
“…Numerical studies. We performed simulations with the time dependent beam propagation method 42,43 to understand the effect of pulse power to spatial distribution of the pulse. Since the output beam profile of the fiber laser is heavily dependent on the GRIN MMF section, which is the last section before the NPE output of the laser, we studied the pulse propagating in this parabolic-index fiber.…”
Section: Resultsmentioning
confidence: 99%
“…In time-dependent beam propagation method simulations, heavy multidimensional fast Fourier-transform calculations require long computation times thus we utilized GPU-parallelization in our code. In our simulations we performed symmetrized split-step Fourier method to compute field propagation 42,43 . In the simulation, pulses with a Gaussian temporal distribution centered at 1064 nm with an 8 ps duration (full-width at half-maximum) are numerically propagated for a fiber length of 2 m. The launched beam diameters (1/e 2 ) are set to Yb-doped gain fibers core size (10 μm) with 15 μm offset.…”
Section: ∂U ∂Zmentioning
confidence: 99%
“…There is a strong interest in finding a datadriven solution through machine learning. In recent years, machine learning has shown power in predicting complex nonlinear evolution governed by NLSE [73][74][75]. PINNs guided with specific theories can also be an effective analytical tool to solve PDEs from incomplete models and limited data [76].…”
Section: Predictionmentioning
confidence: 99%
“…Later in 2021, they extended the method of ref. [73] (see Pulse Prediction of Nonlinear Dynamics) to predict spatiotemporal nonlinear propagation for an arbitrary number of modes in graded-index multimode fibers through a RNN [74] (Fig. 8).…”
Section: Spatiotemporal Nonlinearities Prediction and Controlmentioning
confidence: 99%