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We presented a new method for measuring the squares of the amplitudes andphases of partial vortex-beams in a complex beam array in real time. The methodis based on measuring the high-order intensity moments and analyzing thesolutions of a system of linear equations. Calibration measurements have shownthat the measurement error at least for an array of 10-15 beams does not exceed4%. It has theoretically and experimentally been shown that the orbital angularmomentum (OAM) of combined singular beams depends essentially on the fractionaltopological charge p. For integer values of the topological charge, the OAMobtains the maximum value numerically equal to the topological charge of thesingular beam. With weak deviations of the topological charge in the directionof fractional values, dips in the orbital moment appear. . It wasexperimentally shown that even a weak perturbation of the holographic gratingleads to a sharp increase in the contribution of partial beams with otherinteger-order topological charges.

The avalanche instability of the orbital angular momentum in combined vortex beams