Fig. 1. Comparison of 3D intensity distributions of two spatiotemporal localized wave packets with longitudinal OAM and transverse OAM. (a) Spatiotemporal localized wave packet with longitudinal OAM; (b) spatiotemporal localized wave packet with transverse OAM

Fig. 2. Intensity distributions of spatiotemporal localized wave packets without and with transverse OAM. (a), (b), (d) Intensity iso-surface without transverse OAM under different azimuthal quantum numbers; (c), (e), (f) intensity iso-surface with high-order transverse OAM

Fig. 3. Numerical simulation of invariant propagation of spatiotemporal localized wave packet with transverse OAM. 3D intensity map and 2D planar intensity map of wave packet with l,m=2,1 at (a) 0; (b) 3Ldiff; (c) 6Ldiff; (d) 9Ldiff

Fig. 4. Numerical simulation of propagation characteristics of non spatiotemporal localized wave packet with transverse OAM. 3D intensity map and 2D planar intensity map of non spatiotemporal localized wave packet at (a) 0; (b) 3Ldiff; (c) 6Ldiff; (d) 9Ldiff

Fig. 5. Self-healing process of spatiotemporal localized wave packet with l,m=2,1. (a)-(d) 3D intensity evolution of spatiotemporal localized wave packet; (e)-(h) evolution of 2D energy flow distribution of spatiotemporal localized wave packet at different positions in y-t plane