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Space- and time-agnostic imaging of subwavelength electromagnetic sources
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  • Published: 21 May 2026

Space- and time-agnostic imaging of subwavelength electromagnetic sources

  • Elias Le Boudec1,
  • David Martinez2,
  • Hamidreza Karami3,
  • Farhad Rachidi1,
  • Marcos Rubinstein3 &
  • …
  • Felix Vega2 

Scientific Reports (2026) Cite this article

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Optics and photonics
  • Physics

Abstract

The imaging of electromagnetic interference sources in devices is an interesting tool for electromagnetic compatibility pre-compliance testing, but it poses three significant challenges: i) the sources size is often subwavelength, meaning that the diffraction limit hinders their imaging, and the ii) spatial and iii) temporal features of the sources are uncontrolled. Indeed, in space, their spurious propagation occurs in devices with arbitrary shapes and materials; and in time, they occur either because of unintended radiation from digital or analogue signals, or because of random pulsed events such as electrostatic discharges. To overcome these issues, we i) propose to use the time reversal technique in conjunction with a resonant metalens for subwavelength imaging of these interference sources. We report the first single-shot subwavelength image of an electrostatic discharge, enabling to distinguish radiation from two PCB traces spaced 8 mm apart. ii) To achieve device (space) agnosticism, the imaging method does not require simulation of the device or its environment thanks to a combination of frequency-domain data obtained through a scanner and time-domain data radiated from the device. iii) To ensure flexibility in the source frequency band, we present a novel design for a metalens that operates in a desired frequency band within the gigahertz range, thanks to effective medium theory.

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Acknowledgements

E.L. discloses support for the research of this work from the Technology Innovation Institute through agreement no. TII/DERC/2254/2021. We thank Mohammad Azadifar for helpful comments. E.L. warmly thanks Nicolas Mora, Chaouki Kasmi, Islem Yahi, Ali Yaqoob, Alexis Gandon, Luis María Maldonado Robles, Sebastian Javier Martinez, Hamad AlYahyaee, Sundharamoorthy Venugopal, Ali Alali, Leslie Dias, Eulalia Durussel, Leonides Rodriguez, Recy Decolongon, Umesh Panicker, Olena Grymak, Papa Ousmane Leye, Oliver Silva, Santiago Morales, Hamad Deiban, and Daria Kulikova for their help and support for this research.

Funding

E.L. discloses support for the research of this work from the Technology Innovation Institute through agreement no. TII/DERC/2254/2021.

Author information

Authors and Affiliations

  1. Electromagnetic Compatibility Laboratory, EPFL, 1015, Lausanne, Switzerland

    Elias Le Boudec & Farhad Rachidi

  2. Directed Energy Research Center, Technology Innovation Institute, Abu Dhabi, United Arab Emirates

    David Martinez & Felix Vega

  3. School of Engineering and Management Vaud, HES-SO University of Applied Sciences and Arts Western Switzerland, Yverdon-les-Bains, Switzerland

    Hamidreza Karami & Marcos Rubinstein

Authors
  1. Elias Le Boudec
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  2. David Martinez
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  3. Hamidreza Karami
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  4. Farhad Rachidi
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  5. Marcos Rubinstein
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  6. Felix Vega
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Corresponding author

Correspondence to Elias Le Boudec.

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The authors declare no competing interests.

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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Cite this article

Le Boudec, E., Martinez, D., Karami, H. et al. Space- and time-agnostic imaging of subwavelength electromagnetic sources. Sci Rep (2026). https://doi.org/10.1038/s41598-026-53114-1

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  • Received: 28 August 2025

  • Accepted: 11 May 2026

  • Published: 21 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-53114-1

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