The structure of an optical waveguide
determines the characteristics
of its guided modes, such as their spatial profile and group index.
General features are shared by modes regardless of the waveguiding
structure; for example, modal dispersion is inevitable in multimode
waveguides, every mode experiences group-velocity dispersion, and
higher-order modes usually travel at lower group velocities than their
lower-order counterparts. We show here that such trends can be fundamentally
altered in a multimode planar waveguide by exploiting hybrid guided
space-time modes, whereupon dispersion is eliminated and the link
between modal order and group index is altogether severed. Hybrid
space-time modes are confined in one-dimension by the planar waveguide,
and in the other by the underlying spatiotemporal spectral structure
of the field itself. Direct measurements of the modal group delays
confirm that the group index for low-loss, dispersion-free, hybrid
space-time modes can each be tuned away from the group index of the
same-order conventional mode, and that the transverse size of these
hybrid modes can be varied independently of the modal order and group
index. These findings are verified in a few-mode planar waveguide
consisting of a 25.5 mm-long, 4-μm-thick silica film deposited
on a MgF2 substrate.