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We introduce and experimentally demonstrate a method for measuring at thesame time the mean and the variance of the photonic orbital angular momentum(OAM) distribution in any paraxial optical field, without passing through theacquisition of its entire angular momentum spectrum. This method hence enablesone to reduce the infinitely many output ports required in principle to performa full OAM spectrum analysis to just two. The mean OAM, in turn, providesdirect access to the average mechanical torque that the optical field in anylight beam is expected to exert on matter, for example in the case ofabsorption. Our scheme could also be exploited to weaken the strict alignmentrequirements usually imposed for OAM-based free-space communication.

Direct measurement of the orbital angular momentum mean and variance in an arbitrary paraxial optical field