abstract
- © 2018 IOP Publishing Ltd. We present an unexplored non-interferometric approach for wavefront measurement of vortex beams based on the transport of intensity equation (TIE). By exploiting the symmetries of vortexes we are able to simplify the TIE to a reduced expression not reported before in the context of phase imaging. This reduced model can be solved to measure the phase profile of vortexes via one-dimensional operations only without the complexities pertaining the regular TIE. We also use the axial symmetry exhibited by the intensity profile of vortexes to build a noise filtering scheme exclusive to circularly symmetric images and thus address electronic noise in digital imaging systems. We present a series of numerical experiments both to clarify how to apply our proposal step by step and to prove its overall functionality.