Journal
JOURNAL OF OPTICS
Volume 21, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/2040-8986/ab2c52
Keywords
Gaussian beams; Poincare sphere; Jones vectors; Majorana representation; structured light; Hamiltonian optics
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Funding
- National Science Foundation (NSF) [PHY-1507278]
- Excellence Initiative of Aix-Marseille University-A*MIDEX, a French 'Investissements d'Avenir' programme
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Based on the operator formalism that arises from the underlying SU(2) group structure, a formula is derived that provides a description of the generalized Hermite-Laguerre-Gauss modes in terms of a Jones vector, traditionally used to describe polarization. This identity highlights the relation between these generalized Gaussian beams, the elliptical ray families, and the Majorana constellations used to represent structured-Gaussian beams. Moreover, it provides a computational advantage over the standard formula in terms of Wigner d functions.
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