Cited by 2,568Neural Networks and Reservoir ComputingMetamaterials and Metasurfaces ApplicationsRandom lasers and scattering media

All-optical machine learning using diffractive deep neural networks

Open access
Lin, Xing, Rivenson, Yair, Yardimci, Nezih T., Veli, Muhammed, Luo, Yi, Jarrahi, Mona, Ozcan, Aydogan·2018·Science

Abstract

All-optical deep learning Deep learning uses multilayered artificial neural networks to learn digitally from large datasets. It then performs advanced identification and classification tasks. To date, these multilayered neural networks have been implemented on a computer. Lin et al. demonstrate all-optical machine learning that uses passive optical components that can be patterned and fabricated with 3D-printing. Their hardware approach comprises stacked layers of diffractive optical elements analogous to an artificial neural network that can be trained to execute complex functions at the speed of light. Science , this issue p. 1004

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Crossref · 10.1126/science.aat8084

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48 of 48 references verified0 citation errors · 0 not checkable

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  • The architecture of a SIM forms an electromagnetic neural network that is conceptually similar to an artificial neural network.

    “Essentially, the architecture of a SIM forms an EM neural network (EMNN), which is conceptually similar to an ANN [23], [24].”

    From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [23]

    The Main Text (p. 2) describes a layered electromagnetic-wave network whose points act as artificial neurons and explicitly draws an analogy to standard deep neural networks. The source establishes that conceptual analogy for its diffractive neural network, but does not specifically establish that a SIM has this architecture. (LLM, conf=0.82)

    Experimental — accuracy not yet measured
  • Lin et al. designed a passive SIM using 3D printed diffractive layers capable of classifying images of handwritten digits and fashion products at terahertz frequencies.

    “In [23], Lin et al. designed a passive SIM using 3D printed diffractive layers capable of classifying images of handwritten digits and fashion products at terahertz frequencies.”

    From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [23]

    The Main Text (p. 3) describes a passive diffractive network made from five 3D-printed layers that classified handwritten digits, and the Results (p. 7) report experimental testing at 0.4 THz. The copy does not report classification of fashion products; its other demonstrated function was an imaging lens. (LLM, conf=0.88)

    Experimental — accuracy not yet measured
  • A SIM is physically fabricated by closely packing multiple layers of programmable metasurfaces, resulting in an architecture that bears some conceptual resemblance to an artificial neural network.

    “As shown in Fig. 1, a SIM is physically fabricated by closely packing multiple layers of programmable metasurfaces, resulting in an architecture that bears some conceptual resemblance to an artificial neural network (ANN) [23].”

    From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [23]

    The Main Text (p. 2) describes a neural network formed from multiple diffractive layers and explicitly draws an analogy to standard deep neural networks. But the fabricated examples use passive 3D-printed layers (Main Text, p. 3); the Discussion (p. 12) proposes reconfigurable spatial light modulators rather than reporting a SIM fabricated from closely packed programmable metasurfaces. (LLM, conf=0.88)

    Experimental — accuracy not yet measured
  • According to the Huygens-Fresnel principle, each meta-atom on a metasurface layer acts as a secondary source, producing a spherical wave that illuminates all the meta-atoms on the next layer.

    “According to the Huygens-Fresnel principle [23], each meta-atom on a metasurface layer acts as a secondary source, producing a spherical wave that illuminates all the metaatoms on the next layer.”

    From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [23]

    The Main Text (p. 2) says each point on a diffractive layer acts as a secondary wave source, and the Results (p. 5) say its wave can in principle affect all neurons on the following layer. The source does not explicitly describe that wave as spherical, and it qualifies the all-neuron connection: in practice, the wave falls below the detection noise floor beyond a finite receptive field. (LLM, conf=0.85)

    Experimental — accuracy not yet measured
  • It requires significant effort to convert data schemes.

    “It also requires significant effort to convert data schemes [36 -39].”

    From Reinvigorating algal cultivation for biomass production with digital twin technology - a smart sustainable infrastructure (2024) · cites this paper as [37]

    The Main Text (p. 3) describes an all-optical network, and the Discussion (p. 12) notes added complexity when spatial light modulators are used. Neither passage addresses the effort required to convert data schemes. Searches for that phrase and for optical-data conversion found no passage making the claimed point. (LLM, conf=0.72)

    Experimental — accuracy not yet measured

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Authors
Lin, X., Rivenson, Y., Yardimci, N. T., Veli, M., Luo, Y., Jarrahi, M., & Ozcan, A.
Affiliations
  • California NanoSystems Institute (US)
  • Department of Electrical and Computer Engineering, University of California, Los Angeles, CA 90095, USA.
Corresponding author
  • Lin, Xing
  • Rivenson, Yair
Venue
Science
Published
2018-09-07
Volume
361
Issue
6406
Pages
1004-1008
ISSN
  • 0036-8075 (ISSN-L)
  • 1095-9203
OpenAlex
W2798701005
Cited by
2,568
References
45
Citations by year
2026: 412 · 2025: 523 · 2024: 448 · 2023: 344 · 2022: 314 · 2021: 241 · 2020: 157 · 2019: 110 · 2018: 19
FWCI
74.25
Type
journal article
Language
en
Open access
Locations
  • Science (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Figshare (submittedVersion, cc-by)
  • arXiv (Cornell University)
Funders
  • National Science Foundation
  • Howard Hughes Medical Institute
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Reservoir Computing
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
  • Physical Sciences › Physics and Astronomy › Acoustics and Ultrasonics › Random lasers and scattering media
Keywords
diffractive deep neural networks, diffractive optical elements, optical neural networks, optical computing

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