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    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Light-Matter Interactions

    Background:

    • Correlations in space-time wave packets enable control over light properties.
    • Previous methods lacked arbitrary longitudinal tailoring of spatiotemporal dynamics.

    Purpose of the Study:

    • To propose and demonstrate a new class of wave packets with arbitrarily engineered longitudinal spatiotemporal evolution.
    • To enable control over light properties at predesigned propagation distances.

    Main Methods:

    • Synthesis of wave packets using a 2D spectrum of temporal and longitudinal wavenumbers.
    • Utilizing transverse Bessel-Gaussian fields for spectrum generation.
    • Employing temporal-longitudinal frequency comb spectrum for simulation and experimental demonstration.

    Main Results:

    • Successfully produced wave packets with controllable evolution in both time and axial distance.
    • Demonstrated independent manipulation of light's intensity, polarization, and orbital angular momentum.
    • Experimentally showed tailorable fields with time- and longitudinal-varying orbital angular momentum.

    Conclusions:

    • The developed space-time wave packets offer arbitrary longitudinal engineering of spatiotemporal dynamics.
    • This advancement significantly expands the exploration of spatiotemporal phenomena in the longitudinal dimension.
    • Potential for novel applications in light-matter interactions and nonlinear optics.