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<p>Spatiotemporal (ST) beams—ultrafast optical wavepackets with customized spatial and temporal characteristics—present a significant contrast to conventional spatial-structured light and hold the potential to revolutionize our understanding and manipulation of light. However, progress in ST beam research has been constrained by the absence of a universal framework for its analysis and generation. Here, we introduce the concept of ‘two-dimensional space-time duality’, establishing a foundational duality between spatial-structured light and ST beams. We show that breaking the exact balance between paraxial diffraction and narrow-band dispersion is crucial for guiding the dynamics of ST wavepackets. Leveraging this insight, we pioneer a versatile complex-amplitude modulation strategy, enabling the precise crafting of ST beams with an exceptional fidelity exceeding 97%. Furthermore, we uncover a new range of ST wavepackets by harnessing the exact one-to-one relationship between scalar spatial-structured light and ST beams. Our results expand the toolkit for ST beam research and hold promise for applications across a diverse spectrum of wave-based physical systems.</p>

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Tailoring spatiotemporal wavepackets via two-dimensional space-time duality

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月21日

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  • Wei Chen,
  • An-Zhuo Yu,
  • Zhou Zhou,
  • Ling-Ling Ma,
  • Ze-Yu Wang,
  • Jia-Chen Yang,
  • Cheng-Wei Qiu,
  • Yan-Qing Lu

摘要

Spatiotemporal (ST) beams—ultrafast optical wavepackets with customized spatial and temporal characteristics—present a significant contrast to conventional spatial-structured light and hold the potential to revolutionize our understanding and manipulation of light. However, progress in ST beam research has been constrained by the absence of a universal framework for its analysis and generation. Here, we introduce the concept of ‘two-dimensional space-time duality’, establishing a foundational duality between spatial-structured light and ST beams. We show that breaking the exact balance between paraxial diffraction and narrow-band dispersion is crucial for guiding the dynamics of ST wavepackets. Leveraging this insight, we pioneer a versatile complex-amplitude modulation strategy, enabling the precise crafting of ST beams with an exceptional fidelity exceeding 97%. Furthermore, we uncover a new range of ST wavepackets by harnessing the exact one-to-one relationship between scalar spatial-structured light and ST beams. Our results expand the toolkit for ST beam research and hold promise for applications across a diverse spectrum of wave-based physical systems.