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    Area of Science:

    • Optics and Photonics
    • Nonlinear Optics
    • Signal Processing

    Background:

    • High-order temporal autocorrelation functions are crucial for understanding ultrafast signals.
    • Current methods for measuring these functions can be complex and time-consuming.

    Purpose of the Study:

    • To present a novel single-shot method for measuring high-order temporal autocorrelation.
    • To demonstrate the system's capability for simultaneous, distinct temporal imaging at different correlation orders.

    Main Methods:

    • Utilized a cascade time-lens system based on four-wave mixing.
    • Derived imaging conditions for each cascade order.
    • Employed numerical simulations to validate the system's output.

    Main Results:

    • The cascade system simultaneously functions as distinct temporal imaging systems.
    • Numerical simulations confirmed time-reversed images and high-order temporal autocorrelations.
    • Experimental validation with double-pulsed input successfully reconstructed the autocorrelation.

    Conclusions:

    • The presented system enables high-resolution temporal characterization with a single nonlinear component.
    • This method has significant applications in ultrafast signal analysis and optical communication.