A dipole of optical vortices propagating in a Gaussian beam can produce a variety of possible trajectories. Equations are provided for the trajectories of vortices launched as a canonical dipole from arbitrary locations in a Gaussian beam. These equations are used to compute the trajectories for two examples, which are compared with numerical simulations. The critical parameter values that would produce annihilations and revivals are computed as a function of the propagation distance. This provides a method to identify different types of vortex dipole trajectory.
© 2004 Optical Society of America
Filippus S. Roux, "Canonical vortex dipole dynamics," J. Opt. Soc. Am. B 21, 655-663 (2004)