Abstract
By solving the (3 + 1)-dimensional free-space Schrödinger equation in cylindrical coordinates analytically, we have studied the chirped Airy collinear Laguerre–Gaussian wave packets. The different three-dimensional spatiotemporal profiles can be obtained by selecting a different mode number or relative amplitude, and whether the spatiotemporal profiles rotate or not relies on the mode number during propagation; but the wave packets will accelerate during propagation. Furthermore, we also have done a numerical experiment of the collinear Laguerre–Gaussian beams in free space. In addition, the wave packets will also rotate when varying the relative phase, while they will not only accelerate or decelerate, but reverse when varying the quadratic chirp factor.
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