Open AccessJones and Stokes–Mueller analogous calculi for OAM-transforming optics
Author(s) -
Olga Korotkova,
Greg Gbur
Publication year - 2021
Publication title -
optics letters/optics index
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.524
H-Index - 272
eISSN - 1071-2763
pISSN - 0146-9592
DOI - 10.1364/ol.424618
Subject(s) - optics , angular momentum , generalization , coherence (philosophical gambling strategy) , trigonometry , geometrical optics , physics , computer science , mathematics , classical mechanics , mathematical analysis , quantum mechanics
We introduce a matrix-based approach for characterization of local interactions of optical beams with devices that result in changes of their orbital angular momentum (OAM) content. For deterministic interactions, a method similar to the Jones calculus is developed, while for interactions involving random beams and/or devices, its generalization based on the coherence-OAM matrix is suggested. Applications of the new, to the best of our knowledge, calculus to a spiral plate, a trigonometric grating, and a diffuser are considered. An alternative formulation similar to the Stokes-Mueller calculus is also outlined.