Topology

From momentum-space singularities to vortex beams

How can a singularity's winding structure produce efficient conversion across a finite bandwidth and input beam? The cavity-assisted vortex paper connects topology to a device's operating range.

Topological singularities supply the structure for vortex generation; cavity-assisted coupling further tunes dispersion, radiative Q and polarization. Topology, bandwidth, efficiency and orbital-angular-momentum purity are distinct quantities to examine together.