  Traditional fractional vortex beams are well-known "jump" beams: that is,
their net topological charge jumps by unity as the effective topological charge
of the source passes a half-integer value. Here, we propose an anomalous
multi-ramp fractional vortex (AMRFV) beam. Unlike the traditional fractional
vortex beams, an AMRFV beam can be designed to have arbitrary jumps in
topological charge at any critical threshold of the source charge. We walk
through some examples of AMRFV beams using simulations and present a clear
interpretation of the multi-jump characteristic based on the evolution of phase
singularities.
