Abstract
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 language | English |
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Article number | 084001 |
Number of pages | 5 |
Journal | Journal of Optics |
Volume | 21 |
Issue number | 8 |
DOIs | |
Publication status | Published - 10 Jul 2019 |
Keywords
- Gaussian beams
- Poincaré sphere
- Jones vectors
- Majorana representation
- structured light
- Hamiltonian optics