Cascade time-lens

Temporal optics rises from the equivalence between light diffraction in free space and pulse dispersion in dispersive media, paving the way for the development of temporal devices and applications, such as time-lenses. A Four-wave mixing based time-lens allows single-shot measurements of ultra-short signals in high temporal resolution by imaging signals, and inducing temporal Fourier transform. We introduce a cascade time-lens by utilizing a cascade FWM process within the time-lens. We theoretically develop and experimentally demonstrate the cascade time-lens, and confirm that different cascade orders correspond to different effective temporal systems, leading to measuring in various temporal imaging configurations simultaneously with a single optical setup. This approach can simplify experiments and provide a more comprehensive view of a signal's phase and temporal structure. Such capabilities are useful in fields like ultrafast optics, communications, and quantum measurements, where understanding the precise timing and shape of short pulses of light is important.