Spatially induced group-velocity-dispersion in propagation of ultrashort Pulsed bessel beams

A new family of solution of the non-paraxial wave equation that depicts the ultrashort pulsed light beam propagation in free space is given, of which the spatial transverse part is Bessel function while the temporal profile can be arbitrary. Therefore the pulsed beam behaves like diffraction-free without any transverse spreading, while the temporal part changes as in the disperive medium, which is dominated by the so-called spatially induced group velocity dispersion (SIGVD).