Far-field superresolution imaging via <italic style="font-style: italic">k</italic>-space superoscillation

Bohan Zhang; Hao Zhang; Fei Zhang; Wei Liu; Yuanmu Yang

doi:10.1186/s43593-026-00121-4

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Far-field superresolution imaging via k-space superoscillation

eLight 2026年6卷

Research Article | Updated：2026-03-16

- Far-field superresolution imaging via k-space superoscillation
- Far-field superresolution imaging via k-space superoscillation
- Affiliations：
- Author bio：
- Funds：
  
  National Natural Science Foundation of China;National Key Research and Development Program of China;Beijing Municipal Science and Technology Commission, Adminitrative Commission of Zhongguancun Science Park
- DOI：10.1186/s43593-026-00121-4
  中图分类号：
- 收稿：2025-09-06，
  
  修回：2026-01-06，
  
  录用：2026-01-08，
  
  网络首发：2026-02-12，
  
  纸质出版：2026-12
- Accepted：
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Bohan Zhang, Hao Zhang, Fei Zhang, 等. Far-field superresolution imaging via k-space superoscillation[J]. eLight, 2026,6.

Bohan Zhang, Hao Zhang, Fei Zhang, et al. Far-field superresolution imaging via k-space superoscillation[J]. eLight, 2026, 6.
Bohan Zhang, Hao Zhang, Fei Zhang, 等. Far-field superresolution imaging via k-space superoscillation[J]. eLight, 2026,6. DOI： 10.1186/s43593-026-00121-4.

Bohan Zhang, Hao Zhang, Fei Zhang, et al. Far-field superresolution imaging via k-space superoscillation[J]. eLight, 2026, 6. DOI： 10.1186/s43593-026-00121-4.

摘要

Abstract

The resolution of an imaging system has long been constrained by the Abbe-Rayleigh diffraction limit. While significant progress has been made in developing superresolution techniques

many approaches rely on near-field scanning

fluorescence labeling

and are hindered by trade-offs among resolution

field-of-view

and energy efficiency. Here

we introduce a conceptually new approach that enables far-field

label-free superresolution imaging while avoiding the image-plane sidebands inherent to real-space superoscillatory imaging systems. By exploiting a 3D-patterned metalens with a topology-optimized response in both real- and

(wavevector)-space

we disrupt the spatially shift-invariance assumption in classical imaging systems

significantly expanding the effective lens aperture through a mechanism we term

-space superoscillation. This achieves resolution beyond the Rayleigh criterion. Prototype experiments at microwave frequencies demonstrate a twofold resolution enhancement over the diffraction limit without computational post-processing. This work opens avenues for applications ranging from biology

astronomy

and materials science.

关键词

Keywords

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Far-field superresolution imaging via k-space superoscillation

Far-field superresolution imaging via k-space superoscillation

DOI：10.1186/s43593-026-00121-4

摘要

Abstract

关键词

Keywords

references