  We report on the experimental realization of flat mirrors enabling the
broadband generation of optical vortices upon reflection. The effect is based
on the geometric Berry phase associated with the circular Bragg reflection
phenomenon from chiral uniaxial media. We show the reflective optical vortex
generation from both diffractive and nondiffractive paraxial light beams using
spatially patterned chiral liquid crystal films. The intrinsic spectrally
broadband character of spin-orbit generation of optical phase singularities is
demonstrated over the full visible domain. Our results do not rely on any
birefringent retardation requirement and consequently foster the development of
a novel generation of robust optical elements for spin-orbit photonic
technologies.
