Abstract

Matrices characterizing the orbital angular momentum (OAM) transformations of deterministic and random light beams by commonly used OAM-modulating optical systems are revealed. Such matrices are the counterparts of the Jones and the Mueller matrices in polarization optics defined for the input and output OAM indices and the radial variables. In particular, matrices of systems leading to OAM mode shift, dispersion, and coupling are discussed.

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Jones and Stokes–Mueller analogous calculi for OAM-transforming optics

Olga Korotkova and Greg Gbur
Opt. Lett. 46(11) 2585-2588 (2021)

Orbital angular momentum transformations by non-local linear systems

Greg Gbur and Olga Korotkova
Opt. Lett. 47(2) 321-324 (2022)

OAM-resolved polarization in random light beams

Sushil Pokharel, David Raveh, and Olga Korotkova
Opt. Lett. 48(15) 4029-4032 (2023)

Tailoring the coherence–OAM matrices

Olga Korotkova, Sushil Pokharel, and Greg Gbur
Opt. Lett. 47(23) 6109-6112 (2022)

Fast measurement of coherence–orbital angular momentum matrices of random light beams using off-axis holography and coordinate transformation

WeiHao Li, Yonglei Liu, Yahong Chen, Yangjian Cai, Olga Korotkova, and Fei Wang
Opt. Lett. 49(5) 1173-1176 (2024)