Abstract
We establish the properties of the cross-spectral density orbital angular momentum (CSD-OAM) matrix of a stationary optical beam-like field and use them to introduce the OAM-resolved polarization properties. It is shown that sufficiently general random fields contain two types of polarization, one relating to a single OAM mode and the other to a pair of modes.
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27 July 2023: Typographical corrections were made to Eqs. (17) and (27).
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