Beyond the light intensity or intensity moments and measurements of the vortex spectrum in complex light beams

The paper presents a new method for measuring the vortex spectrum (amplitude squares and initial phases) as well as the orbital angular momentum without cuts and splices of the wave front of a vortex array. Such an extension of the measurement capabilities of the combined beam properties is achieved by recording the intensity moments of the light beam as a whole without destroying its internal structure. The correlation coefficient between the initial intensity distribution and the intensity distribution taking into account the experimentally obtained vortex spectrum reaches 91%, which indicates the reliability of the presented method.