Generalized Gaussian beams in terms of Jones vectors
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.
- Publication:
-
Journal of Optics
- Pub Date:
- August 2019
- DOI:
- 10.1088/2040-8986/ab2c52
- arXiv:
- arXiv:1908.01363
- Bibcode:
- 2019JOpt...21h4001G
- Keywords:
-
- Gaussian beams;
- Poincaré sphere;
- Jones vectors;
- Majorana representation;
- structured light;
- Hamiltonian optics;
- Physics - Optics
- E-Print:
- J. Opt. 21 084001 (2019)