Three-Dimensional Vortex Solitons in Self-Defocusing Media

We demonstrate that families of vortex solitons are possible in a bidispersive three-dimensional nonlinear Schro¨dinger equation. These solutions can be considered as extensions of two-dimensional dark vortex solitons which, along the third dimension, remain localized due to the interplay between dispersion and nonlinearity. Such vortex solitons can be observed in optical media with normal dispersion,
normal diffraction, and defocusing nonlinearity.