Single Pulse Manipulations in Synthetic Time-frequency Space
Guangzhen Li, Danying Yu, Luqi Yuan, and Xianfeng Chen

TL;DR
This paper theoretically investigates how dynamic phase modulation in dispersive waveguides enables active manipulation of single optical pulses within a synthetic time-frequency space, revealing novel control over pulse propagation and spectral properties.
Contribution
It introduces a new approach for manipulating single pulses in synthetic (2+1) dimensions using effective gauge potentials and phase modulation in dispersive waveguides.
Findings
Demonstrates confined pulse propagation, fast/slow light, and pulse compression.
Shows control over spectral and temporal pulse characteristics.
Provides a foundation for advanced pulse processing in integrated photonics.
Abstract
Synthetic dimensions in photonic structures provide unique opportunities for actively manipulating light in multiple degrees of freedom. Here, we theoretically explore a dispersive waveguide under the dynamic phase modulation that supports single pulse manipulations in the synthetic (2+1) dimensions. Compared with the counterpart of the conventional (2+1) space-time, we explore temporal diffraction and frequency conversion in a synthetic time-frequency space while the pulse evolves along the spatial dimension. By introducing the effective gauge potential well for photons in the synthetic time-frequency space with the control of the modulation phase, we show that a rich set of pulse propagation behaviors can be achieved, including confined pulse propagation, fast/slow light, and pulse compression. With the additional nonlinear oscillation subject to the effective force along the…
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