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Space-time superoscillations
Yijie Shen1,2, Nikitas Papasimakis3, Nikolay I Zheludev3,4
1Centre for Disruptive Photonic Technologies, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore. yijie.shen@ntu.edu.sg.
Nature Communications
|February 2, 2026
Summary
Scientists demonstrate space-time superoscillations (STSO), where spatial and temporal superoscillations occur together. This breakthrough enables extreme spatiotemporal field structuring for advanced applications in optics and photonics.
Area of Science:
- Optics and Photonics
- Wave Phenomena
- Electromagnetism
Background:
- Superoscillation (SO) allows wavefields to locally oscillate faster than their highest Fourier components.
- SO is crucial for superresolution imaging and metrology, surpassing the diffraction limit.
- Previous research focused on spatial or temporal SO independently.
Purpose of the Study:
- To investigate the simultaneous occurrence of spatial and temporal superoscillations.
- To introduce and demonstrate space-time superoscillation (STSO).
- To explore the potential of STSO in extreme spatiotemporal field structuring.
Main Methods:
- Utilized a band-limited version of supertoroidal light pulses.
- Employed Maxwell's equations to model nonseparable finite-energy solutions.
- Experimentally demonstrated the STSO phenomenon.
Main Results:
- Successfully demonstrated simultaneous spatial and temporal superoscillations (STSO).
- Observed STSO in supertoroidal light pulses.
- Revealed a new regime of extreme spatiotemporal field structuring.
Conclusions:
- Space-time superoscillation (STSO) represents a novel phenomenon in wave physics.
- STSO has significant implications for ultrafast metrology and light-matter interactions.
- This work opens new avenues for deep-subwavelength control of electromagnetic waves.
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