Measurement of the vortex spectrum in a vortex-beam array without cuts and gluing of the wavefront

We present a new technique for measuring the squares of the amplitudes and phases of partial vortex-beams in a complex beam array in real time. The technique is based on measuring the high-order intensity moments and analyzing the solutions of a system of linear equations. Calibration measurements have shown that the measurement error at least for a beam array of 10-15 beams does not exceed 4%.