Generalized Gaussian beams in terms of Jones vectors

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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.


Original languageEnglish
Article number084001
Number of pages5
JournalJournal of Optics
Issue number8
Publication statusPublished - 10 Jul 2019


  • Gaussian beams, Poincaré sphere, Jones vectors, Majorana representation, structured light, Hamiltonian optics