Generalized Gaussian beams in terms of Jones vectors

R Gutiérrez-cuevas, M R Dennis, M A Alonso

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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


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