4.4 Article

Generalized Gaussian beams in terms of Jones vectors

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

  1. National Science Foundation (NSF) [PHY-1507278]
  2. 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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