Time reflection and refraction in synthetic frequency dimension
arXiv:2209.03539 · doi:10.1103/PhysRevResearch.5.L012046
Abstract
The duality of space and time in Maxwell's equations has prompted interest in time boundaries and the accompanying temporal analog of spatial reflection and refraction. However, achieving observable time boundary effects at optical frequencies in real materials is challenging. In this work, we demonstrate that time reflection and refraction can be observed in a two-band model centered around a non-zero reference energy. Our model can be physically implemented in the synthetic frequency dimension as a system of two coupled dynamically-modulated ring resonators. We find that modulation at microwave frequencies is sufficient to observe time boundary effects for optical waves in synthetic frequency dimension. Our work shows that implementing multi-band models in synthetic dimensions opens a new avenue for further exploration of time boundaries.
9 pages, 4 figures; fixed typo in equation label
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Cited by in corpus (9)
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- Extreme narrow band in Moiré Photonic time crystal
- Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
- 2D Topological Edge States in Periodic Space-Time Interfaces
- High-Order Perfect Absorption in the Absence of Exceptional Point
- Topological energy pumping in a quasi-periodically driven four-level system