Evidence map›Paper›PMID 42846185›Full record

ArticleNanophotonics (Berlin, Germany)2026

End-to-End Deep Learning Framework for Freeform Metasurfaces via Non-Uniform Rational B-Splines Meta-Atoms.

Kaipeng Liu, Junliang Jia, Kun Li, Yuanjian Wan, Runlin Zhou, Xuyang Chen, Chao Wang, Zhixiang Huang, Jiaxin Li, Gang Gao and 2 more

Abstract read
In one paragraph

Article in Nanophotonics (Berlin, Germany), 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

12 authors.

Kaipeng LiuState Key Laboratory of Robotics and System Harbin Institute of Technology Harbin China.
Junliang JiaMinistry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter Xi'an Jiaotong University Xi'an China.
Kun LiNational Key Laboratory of Science and Technology on Advanced Composites in Special Environments Harbin Institute of Technology Harbin China.
Yuanjian WanChinese Academy of Sciences Shanghai Institute of Optics and Fine Mechanics Shanghai China.
Runlin ZhouMinistry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter Xi'an Jiaotong University Xi'an China.
Xuyang ChenState Key Laboratory of Robotics and System Harbin Institute of Technology Harbin China.
Chao WangState Key Laboratory of Opto-Electronic Information Acquisition and Protection Technology Anhui University Hefei China.
Zhixiang HuangState Key Laboratory of Opto-Electronic Information Acquisition and Protection Technology Anhui University Hefei China.
Jiaxin LiDepartment of Electrical and Computer Engineering National University of Singapore Singapore.
Gang GaoNational Key Laboratory of Science and Technology on Advanced Composites in Special Environments Harbin Institute of Technology Harbin China.
Pei ZhangMinistry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter Xi'an Jiaotong University Xi'an China.ORCID https://orcid.org/0000-0003-4523-4823
Longqiu LiState Key Laboratory of Robotics and System Harbin Institute of Technology Harbin China.ORCID https://orcid.org/0000-0001-9392-527X

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Conventional metasurface designs face fundamental trade-offs among geometric freedom, fabrication fidelity, and optical functionality. Here, we transcend these limitations through Non-Uniform Rational B-Splines (NURBS)-enabled computational co-design, establishing a paradigm in which freeform curvature control, deep learning optimization, and nanoscale lithography act synergistically. Unlike topology-constrained meta-atoms requiring iterative electromagnetic simulations, our framework deploys a Transformer-based differentiable surrogate to harness the parametric continuity of NURBS for arbitrary wavefront sculpting. Crucially, we introduce dose curvature proximity compensated lithography, which restores symmetry between design intent and fabricated structure through geometry dependent electron beam modulation. Experimental validation demonstrates achromatic wavelength scale focusing across 405-633 nm, with refined focal plane line profile analysis yielding full-width-at-half-maximum (FWHM) values of 1.15

Indexed as

deep learninginverse designmetasurfacesNURBS

Identifiers

PMID42846185
PMCPMC13642555

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.