Cascade time-lens

Temporal optics arises from the analogy between spatial diffraction of light in free space and temporal dispersion of pulses in dispersive media, enabling the development of advanced temporal devices such as time-lenses. In this work, we present a cascade time-lens configuration utilizing a cascade four-wave mixing (FWM) process, theoretically developed and experimentally demonstrated, analyzed distinctly in both Fourier and imaging configurations. These analyses of the cascade time-lens significantly simplify experimental setups, providing comprehensive characterization of ultrafast optical signals. Such capabilities are relevant for applications in ultrafast optics, optical communications, signal processing, and quantum measurement technologies.