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    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Nonlinear Optics

    Background:

    • Existing optical wave packets, like Airy wave packets and X-waves, demonstrate constant axial acceleration.
    • This constant acceleration implies a linear relationship between group velocity and propagation distance.

    Purpose of the Study:

    • To synthesize space-time wave packets with arbitrary axial acceleration profiles in free space.
    • To demonstrate novel optical acceleration phenomena, including non-linear and composite acceleration profiles.

    Main Methods:

    • Precise sculpting of the wave packet's spatio-temporal spectral structure.
    • Utilizing a specialized experimental arrangement for wave packet synthesis.

    Main Results:

    • Successful synthesis of space-time wave packets with arbitrary axial acceleration profiles.
    • Demonstration of group velocities varying with integer or fractional exponents of distance.
    • Realization of a composite acceleration profile with acceleration and subsequent deceleration.

    Conclusions:

    • This work overcomes limitations of constant acceleration in optical wave packets.
    • The developed method enables unprecedented control over optical wave packet dynamics.
    • These findings open new avenues for applications in optical physics and technology.