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Laser self-mixing interference micro displacement reconstruction based on convolutional neural network
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Xintao Li, Hui Liu, Shuo Qiao, Yifan Yang, Yang Lv, Xia Liu, Lingling Xiong
High Power Laser and Particle Beams | 2026, 38(4) : 041001-1 - 041001-11
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High Power Laser and Particle Beams | 2026, 38(4): 041001-1-041001-11
High Power Laser Physics and Technology
Laser self-mixing interference micro displacement reconstruction based on convolutional neural network
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Xintao Li, Hui Liu, Shuo Qiao, Yifan Yang, Yang Lv, Xia Liu, Lingling Xiong
Affiliations
  • School of Mechanical and Electrical Engineering, Xi'an Polytechnic University, Xi'an 710048, China
Published: 2026-04-15 doi: 10.11884/HPLPB202638.250370
Outline
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Background

Laser self-mixing interferometry (SMI) is a highly sensitive and non-contact technique widely used for micro-displacement measurement. However, traditional displacement reconstruction methods typically involve complex phase unwrapping calculations, which increases computational difficulty and limits the efficiency of signal processing in practical applications.

Purpose

This study aims to propose a novel micro-displacement reconstruction method for semiconductor laser SMI based on convolutional neural networks (CNN). The objective is to achieve direct and accurate reconstruction of micron-scale displacement while bypassing the tedious phase unwrapping process.

Methods

The proposed method involves segmenting the SMI signal and using the window-averaged displacement as the label for training the CNN. The architecture of the network consists of three sets of convolutional layers, pooling layers, and Rectified Linear Unit (ReLU) functions. Specifically, the convolutional layers are utilized to extract local displacement features from the SMI signal, the pooling layers are designed to compress feature information and enhance noise immunity, and the ReLU functions help highlight critical displacement features within the signal.

Results

In theoretical simulations, SMI signals with 10 dB noise were input into the trained CNN, resulting in a displacement reconstruction RMSE of 5.3 × 108. In experimental tests, SMI signals containing system noise were processed by the network, yielding a reconstructed displacement RMSE of 2.1 × 107. The simulation and experimental results demonstrate consistent performance.

Conclusions

Both theoretical and experimental results indicate that the convolutional neural network can effectively achieve micron-level displacement reconstruction by analyzing the temporal segments of SMI signals. This method provides an efficient alternative for semiconductor laser self-mixing interference systems by eliminating the need for complex phase-based algorithms.

laser self-mixing interference  /  displacement reconstruction  /  convolutional neural network  /  feature extraction  /  semiconductor laser
Xintao Li, Hui Liu, Shuo Qiao, Yifan Yang, Yang Lv, Xia Liu, Lingling Xiong. Laser self-mixing interference micro displacement reconstruction based on convolutional neural network[J]. High Power Laser and Particle Beams, 2026 , 38 (4) : 041001-1 -041001-11 . DOI: 10.11884/HPLPB202638.250370
Year 2026 volume 38 Issue 4
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Article Info
doi: 10.11884/HPLPB202638.250370
  • Receive Date:2025-10-28
  • Online Date:2026-05-27
  • Published:2026-04-15
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History
  • Received:2025-10-28
  • Revised:2025-12-30
  • Accepted:2025-12-30
Affiliations
    School of Mechanical and Electrical Engineering, Xi'an Polytechnic University, Xi'an 710048, China
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表12种不同金属材料的力学参数

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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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