We find a new family of solutions of the nonparaxial wave equation that represents ultrashort pulsed light beam propagation in free space. The spatial and temporal parts of these pulsed beams are separable; the spatial transverse part is described by a Bessel function and remains unchanged during propagation, but the temporal profile can be arbitrary. Therefore the pulsed beam exhibits diffraction-free behavior with no transverse spreading, but the temporal part changes as if in a dispensive medium; the change is dominated by what we call spatially induced group-velocity dispersion. The analytical and numerical investigations show that the even- and odd-order spatially induced dispersions partially compensate for each other so as to give rise to pulse spreading, weakening, asymmetry, and center shift.
© 2002 Optical Society of America
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(260.1960) Physical optics : Diffraction theory
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(320.0320) Ultrafast optics : Ultrafast optics
Wei Hu and Hong Guo, "Ultrashort pulsed Bessel beams and spatially induced group-velocity dispersion," J. Opt. Soc. Am. A 19, 49-53 (2002)