Radon transform in OAM interference for sub wavelength displacement measurement
Abstract
An orbital angular momentum (OAM) interferometer makes use of the superposition of two vortex beams with opposite topological charges to generate a petal-beam. When adding a phase difference to one of the component beams, rotation is introduced to the resulting petal-beam pattern. We propose to automate the analysis of this rotation with the use of Radon transform. Here, we generate a 4-, 10-, and 20-petal beam with a spatial light modulator (SLM) and induce a phase change in one of the component beams. We compare the calculated phase of our algorithm to the phase difference we use to generate the rotation, and our results show a good one to one correspondence. Hence, determining the rotation and corresponding phase difference can be automated using Radon transform.