We study the ring resonator under a dynamic modulation. Each ring resonator supports a set of resonant modes with an equal spacing. We find that the system exhibits a spectral Bloch oscillation along the frequency axis when we introduce a frequency detuning in the modulation frequency. A periodic switching of the detuning brings out a unidirectional translation of the frequency of light. Moreover, in an array of rings, each of which is dynamically modulated with a different phase, we see topologically-protected edge states. Our work points to a new capability for the control of light in the frequency space.
Luqi Yuan, Yu Shi, and Shanhui Fan, "Frequency-axis light transport and topological effects in dynamic photonic structures," Proc. SPIE 10112, Photonic and Phononic Properties of Engineered Nanostructures VII, 101121O (Presented at SPIE OPTO: February 02, 2017; Published: 20 February 2017); https://doi.org/10.1117/12.2257705.
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