Dual-comb spectroscopy for in-plane angle measurement using OAM vortex light

By combining dual-comb spectroscopy and optical vortices, which have the orbital angular momentum (OAM) of light, we propose a novel measurement concept, "dual-vortex-comb spectroscopy (DVCS)." We extend the dual-comb spectroscopy to angle dimensions by utilizing the characteristic helical phase structure of optical vortices. We demonstrate a proof-of-principle experiment on DVCS that realizes in-plane azimuth-angle measurements with an accuracy of ∼0.1 mrad after cyclic error correction, whose origin is verified by a simulation. We also demonstrate that the measurable angle range is tailored by the topological number of the optical vortices. This is the first demonstration of dimensional conversion between the in-plane angle and dual-comb interferometric phase. This successful result can expand the applicability of optical frequency comb metrology to new dimensions.