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

Olga Korotkova, Greg Gbur

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)2585-2588
Number of pages4
JournalOptics Letters
Issue number11
StatePublished - Jun 1 2021
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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