Abstract
The direct optical transportation of images through multimode fibres (MMFs) is highly sought after in compact photonic systems for MMF-based optical information processing. However, MMFs are highly scattering media, thus degrading information transmitted through them. Existing approaches utilize artificial neural networks or spatial light modulators to reconstruct images scrambled after propagation through the fibre. Despite these advances, achieving direct optical image transportation through MMFs using integrated optical elements with micrometre-scale footprints remains challenging. Here we develop a miniaturized diffractive neural network (DN2s) integrated on the distal facet of a MMF for the direct all-optical image transportation through the fibre. The DN2s has a footprint of 150 μm by 150 μm and is fabricated on the facet of a 0.35-m-long MMF using three-dimensional two-photon nanolithography. The fibre-integrated DN2s enables single-shot optical transportation of images with flat phases in real time for a constant configuration of the MMF. The system achieves a minimum image reconstruction feature size of approximately 4.90 μm over a field of view 65 μm by 65 μm when imaging handwritten digits. Transfer learning is also demonstrated by the direct optical transportation of HeLa cell images projected by spatial light modulators, which were not part of the training dataset. The concept and implementation pave the way to the integration of miniaturized DN2s with MMFs for compact photonic systems with unprecedented functionalities.
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Data availability
All data needed to evaluate the conclusions in this article are available via Code Ocean at https://codeocean.com/capsule/9464191/tree/v1. Additional data related to this paper may be requested from the corresponding authors.
Code availability
The custom code and algorithm used to calculate the DN2s for speckled image reconstruction within this article are available via Code Ocean at https://codeocean.com/capsule/9464191/tree/v1.
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Acknowledgements
This work was supported by the funding from the National Key Research and Development Program of China (grant no. 2021YFB2802000, Q.Z.), the National Key Research and Development Program of China (grant no. 2022YFB2804301, H.L.), the Science and Technology Commission of Shanghai Municipality (grant no. 21DZ1100500, M.G.), the Shanghai Municipal Science and Technology Major Project, the Shanghai Frontiers Science Center Program (grant no. 2021-2025 No. 20, M.G.), the National Natural Science Foundation of China (grant no. 61975123, Q.Z.; 62305219, S.L.; 62205208, H.Y.), the Shanghai Natural Science Foundation (grant no. 23ZR1443200, S.L.), the China Postdoctoral Science Foundation (2022M712138, S.L.; 2021M702192, H.Y.) and the Shanghai Super Postdoctoral Incentive Scheme (5B22904002, S.L.; 5B22904006, H.Y.).
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H.Y., Q.Z. and M.G. conceived the concept. M.G. and Q.Z. supervised the project. Z.H. and Q.W. contributed to the implementation of the programming of the diffractive neural networks. B.W. contributed to offering professional advice in the fabrication experiments while he was employed by the University of Shanghai for Science and Technology. H.D., from South East China University, S.L. and J.L. contributed in offering generous suggestions in the characterization and fabrication systems. H.Y. and Q.W. carried out the numerical and experimental characterization of the device. All authors participated in discussions and contributed to the writing of the paper.
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Nature Photonics thanks Juergen Czarske, Qing Yang and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Supplementary Notes 1–11, Figs. 1–24 and Table 1.
Supplementary Video 1
Theoretical modelling of the scanning spots reconstruction results.
Supplementary Video 2
Experimental results of the scanning spots reconstruction at the distal facet.
Supplementary Video 3
DN2s and U-net reconstruction results of natural scenes scrambled by the multimode fibre.
Supplementary Video 4
Experimental video showing the fibre integration of DN2s using the two-photon nanolithographic technique.
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Yu, H., Huang, Z., Lamon, S. et al. All-optical image transportation through a multimode fibre using a miniaturized diffractive neural network on the distal facet. Nat. Photon. 19, 486–493 (2025). https://doi.org/10.1038/s41566-025-01621-4
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DOI: https://doi.org/10.1038/s41566-025-01621-4
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