Generalized Gaussian beams in terms of Jones vectors

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Generalized Gaussian beams in terms of Jones vectors. / Gutiérrez-cuevas, R; Dennis, M R; Alonso, M A.

In: Journal of Optics, Vol. 21, No. 8, 084001, 10.07.2019.

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Gutiérrez-cuevas, R ; Dennis, M R ; Alonso, M A. / Generalized Gaussian beams in terms of Jones vectors. In: Journal of Optics. 2019 ; Vol. 21, No. 8.

Bibtex

@article{6df5c1fb718c498ab04ba347e1a52c5f,
title = "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.",
keywords = "Gaussian beams, Poincar{\'e} sphere, Jones vectors, Majorana representation, structured light, Hamiltonian optics",
author = "R Guti{\'e}rrez-cuevas and Dennis, {M R} and Alonso, {M A}",
year = "2019",
month = jul,
day = "10",
doi = "10.1088/2040-8986/ab2c52",
language = "English",
volume = "21",
journal = "Journal of Optics",
issn = "2040-8978",
publisher = "IOP Publishing",
number = "8",

}

RIS

TY - JOUR

T1 - Generalized Gaussian beams in terms of Jones vectors

AU - Gutiérrez-cuevas, R

AU - Dennis, M R

AU - Alonso, M A

PY - 2019/7/10

Y1 - 2019/7/10

N2 - 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.

AB - 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.

KW - Gaussian beams

KW - Poincaré sphere

KW - Jones vectors

KW - Majorana representation

KW - structured light

KW - Hamiltonian optics

U2 - 10.1088/2040-8986/ab2c52

DO - 10.1088/2040-8986/ab2c52

M3 - Article

VL - 21

JO - Journal of Optics

JF - Journal of Optics

SN - 2040-8978

IS - 8

M1 - 084001

ER -