Evidence map›Paper›PMID 40050630›Full record

ArticleNature communications2025

Frequency transfer and inverse design for metasurface under multi-physics coupling by Euler latent dynamic and data-analytical regularizations.

Enze Zhu, Zheng Zong, Erji Li, Yang Lu, Jingwei Zhang, Hao Xie, Ying Li, Wen-Yan Yin, Zhun Wei

Abstract read
In one paragraph

Article in Nature communications, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.

0numbers the graph read from it
0cells of the map it votes in
6citing 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

6 citing papers in PubMed.

  1. Q-LEAP: Millisecond Hyperdimensional Optimization for Full-Spectrum Optical Metamaterials.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026
    Article
  2. Article
  3. Article
  4. Learning to reverse thermal diffusion.National science review · 2026
    Article
  5. Article
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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

9 authors.

Enze ZhuInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.ORCID http://orcid.org/0000-0001-8600-5221
Zheng ZongInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.
Erji LiInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.
Yang LuInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.
Jingwei ZhangInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.
Hao XieInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.
Ying LiInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China.ORCID http://orcid.org/0000-0002-2730-7171
Wen-Yan YinInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China. wyyin@zju.edu.cn.
Zhun WeiInnovation Institute of Electromagnetic Information and Electronics Integration, Zhejiang Key Laboratory of Intelligent Electromagnetic Control and Advanced Electronic Integration, College of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, China. eleweiz@zju.edu.cn.ORCID http://orcid.org/0000-0002-8699-3749

Funding

National Natural Science Foundation of China (National Science Foundation of China) 62371417, 62101484National Natural Science Foundation of China (National Science Foundation of China) U2441232Natural Science Foundation of Zhejiang Province (Zhejiang Provincial Natural Science Foundation) LZ23F010005
6 · The paper itself

Abstract

Frequency transfer is a key challenge in machine learning as it allows researchers to go beyond in-range analyses of spectrum properties towards out-of-the-range predictions. Traditionally, to predict properties at a specific frequency, targeted spectrum is included in training data for a deep neural network (DNN). However, due to limitations of measurement or computation source, training data at some frequencies are hardly accessible, especially for multi-physics problems. In this work, we propose a multi-physics deep learning framework (MDLF) consisting of a multi-fidelity DeepONet, a Euler latent dynamic network, and a data-analytical inversion network. Without the knowledge about multi-physics response, MDLF is successfully generalized to unseen frequency bands for both parametric and free-form metasurface by dynamically utilizing a Euler latent space and single-physics information. Moreover, an inversion method is introduced to incorporate hybrid a priori in inverse design of metasurface. Under EM-thermal coupling, we verify the proposed MDLF numerically and experimentally.

Identifiers

PMID40050630
PMCPMC11885849

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