Unified matrix representation for spin and orbital angular momentum in partially coherent beams

Olga Korotkova; Greg Gbur

doi:10.1103/PhysRevA.103.023529

Unified matrix representation for spin and orbital angular momentum in partially coherent beams

Olga Korotkova, Greg Gbur

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

A matrix representation is introduced for stationary beamlike light fields that allows for simultaneous treatment of the orbital angular momentum (OAM) and the second-order state of spatial coherence. This coherence-OAM matrix is a counterpart of the 2×2 beam coherence-polarization matrix in a Cartesian polarization basis or coherence-spin angular momentum (SAM) matrix in a circular polarization basis. The general properties of the coherence-OAM matrix are discussed and then the coherence-SAM-OAM matrix is introduced as a unifying entity for treating beams with any coherence, spin, and orbital angular momentum states.

Original language	English (US)
Article number	023529
Journal	Physical Review A
Volume	103
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.103.023529
State	Published - Feb 2021

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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abstract = "A matrix representation is introduced for stationary beamlike light fields that allows for simultaneous treatment of the orbital angular momentum (OAM) and the second-order state of spatial coherence. This coherence-OAM matrix is a counterpart of the 2×2 beam coherence-polarization matrix in a Cartesian polarization basis or coherence-spin angular momentum (SAM) matrix in a circular polarization basis. The general properties of the coherence-OAM matrix are discussed and then the coherence-SAM-OAM matrix is introduced as a unifying entity for treating beams with any coherence, spin, and orbital angular momentum states.",

author = "Olga Korotkova and Greg Gbur",

note = "Funding Information: Olga Korotkova acknowledges the support from the University of Miami via the Cooper Fellowship program. The funding was provided by Office of Naval Research of America (No. MURI N00014-20-1-2558). Publisher Copyright: {\textcopyright} 2021 American Physical Society Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

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AB - A matrix representation is introduced for stationary beamlike light fields that allows for simultaneous treatment of the orbital angular momentum (OAM) and the second-order state of spatial coherence. This coherence-OAM matrix is a counterpart of the 2×2 beam coherence-polarization matrix in a Cartesian polarization basis or coherence-spin angular momentum (SAM) matrix in a circular polarization basis. The general properties of the coherence-OAM matrix are discussed and then the coherence-SAM-OAM matrix is introduced as a unifying entity for treating beams with any coherence, spin, and orbital angular momentum states.

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