Deep learning enabled superfast and accurate M^2 evaluation for fiber beams
Yi An, Jun Li, Liangjin Huang, Jinyong Leng, Lijia Yang, and Pu Zhou

TL;DR
This paper presents a deep learning approach using CNNs to rapidly and accurately predict the beam propagation factor M^2 of fiber laser beams from near-field patterns, enabling real-time evaluation with minimal experimental effort.
Contribution
It introduces a novel deep learning method for fast, accurate M^2 prediction from beam patterns, demonstrating robustness and potential for real-time applications.
Findings
Achieves less than 2% prediction error on simulated data.
Predicts M^2 in about 5 milliseconds per beam pattern.
Maintains accuracy with noise levels up to 2.5%.
Abstract
We introduce deep learning technique to predict the beam propagation factor M^2 of the laser beams emitting from few-mode fiber for the first time, to the best of our knowledge. The deep convolutional neural network (CNN) is trained with paired data of simulated near-field beam patterns and their calculated M^2 value, aiming at learning a fast and accurate mapping from the former to the latter. The trained deep CNN can then be utilized to evaluate M^2 of the fiber beams from single beam patterns. The results of simulated testing samples have shown that our scheme can achieve an averaged prediction error smaller than 2% even when up to 10 eigenmodes are involved in the fiber. The error becomes slightly larger when heavy noises are added into the input beam patterns but still smaller than 2.5%, which further proves the accuracy and robustness of our method. Furthermore, the M^2 estimation…
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