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We present a formalism for experimental determination of the orbital angular momentum (OAM) of a paraxial optical beam-field by intertwining Barnett's formalism and Stokes parameter measurements. Using Barnett's formalism we calculate the OAM flux density of a suitably general 2-dimensional beam-field; and re-express it in terms of experimentally measurable quantities. Considering a demonstrative optical system, we obtain the OAM flux density profiles, total OAM flux and OAM per photon — leading towards the experimental characterization of OAM using Barnett's formalism. Our method will find potential applications in nano-optical processes involving the transfer of electromagnetic OAM to particles and across interfaces.
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Anirban Debnath, Nirmal K. Viswanathan, "Measurement of orbital angular momentum of light using Stokes parameters and Barnett's formalism," Proc. SPIE 12436, Complex Light and Optical Forces XVII, 124360S (15 March 2023); https://doi.org/10.1117/12.2647985