论文标题

合成频率维度的时间反射和折射

Time reflection and refraction in synthetic frequency dimension

论文作者

Long, Olivia Y., Wang, Kai, Dutt, Avik, Fan, Shanhui

论文摘要

麦克斯韦方程式中的时空二元性引发了对时间界的兴趣以及随附的空间反射和折射的时间类似物。但是,在真实材料中,在光频率上实现可观察到的时间边界效应是具有挑战性的。在这项工作中,我们证明可以在以非零参考能为中心的两个波段模型中观察到时间反射和折射。我们的模型可以在合成频率维度中物理实现,作为两个动态调节的环形谐振器的系统。我们发现,微波频率的调制足以观察到合成频率维度的光波的时间边界效应。我们的工作表明,在合成维度上实施多波段模型为进一步探索时间边界开辟了新的途径。

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.

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