摘要: 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 frequency axis
of light, we provide an exotic approach for actively manipulating the single
pulse in both temporal and spectral domains, which shows the great promise for
applications of the pulse processing and optical communications in integrated
photonics.