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arXiv · 1908.01363

Generalized Gaussian beams in terms of Jones vectors

R. Gutiérrez-Cuevas·M. R. Dennis·M. A. Alonso
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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.

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R. Gutiérrez-Cuevas, M. R. Dennis, M. A. Alonso. 2019-08-04. Generalized Gaussian beams in terms of Jones vectors. https://doi.org/10.1088/2040-8986%2Fab2c52

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