Geometric representation of vector vortex beams: the total angular momentum-conserving Poincaré sphere and its braid clusters
Geometric representation of vector vortex beams: the total angular momentum-conserving Poincaré sphere and its braid clusters
This paper presents the total angular momentum-conserving Poincaré sphere (TAM-C PS), which offers a novel framework for efficiently characterizing a wide range of vector vortex beams. Unlike other types of Poincaré spheres, the TAM-C PS achieves a better balance between generality and validity, while also providing clearer physical interpretation. By linking the poles of different spheres, the study also introduces two distinct categories of TAM-C PS braid clusters, enabling the representation of various Poincaré spheres within a unified framework. The Poincaré spheres include classical, higher-order, hybrid-order, Poincaré sphere with orbital angular momentum, and TAM-C PS. This is the first clear and unified approach to express multiple Poincaré spheres within a single framework. The TAM-C PS and its braid cluster can be employed to guide the creation of targeted vector vortex light beams, offer a geometric description of optical field evolution, and calculate the geometric phase of optical cyclic evolution.
TAM-C PS braid clusters, total angular momentum-conserving Poincaré sphere (TAM-C PS), vector vortex beam
Yu, Wangke
c5688b04-647c-4189-a3b0-ac87aa883bbf
Pi, Hailong
32718fa6-ab51-4d28-b147-ce16a3235ac7
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Yan, Jize
786dc090-843b-435d-adbe-1d35e8fc5828
November 2023
Yu, Wangke
c5688b04-647c-4189-a3b0-ac87aa883bbf
Pi, Hailong
32718fa6-ab51-4d28-b147-ce16a3235ac7
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Yan, Jize
786dc090-843b-435d-adbe-1d35e8fc5828
Yu, Wangke, Pi, Hailong, Taylor, Marika and Yan, Jize
(2023)
Geometric representation of vector vortex beams: the total angular momentum-conserving Poincaré sphere and its braid clusters.
Photonics, 10 (11), [1276].
(doi:10.3390/photonics10111276).
Abstract
This paper presents the total angular momentum-conserving Poincaré sphere (TAM-C PS), which offers a novel framework for efficiently characterizing a wide range of vector vortex beams. Unlike other types of Poincaré spheres, the TAM-C PS achieves a better balance between generality and validity, while also providing clearer physical interpretation. By linking the poles of different spheres, the study also introduces two distinct categories of TAM-C PS braid clusters, enabling the representation of various Poincaré spheres within a unified framework. The Poincaré spheres include classical, higher-order, hybrid-order, Poincaré sphere with orbital angular momentum, and TAM-C PS. This is the first clear and unified approach to express multiple Poincaré spheres within a single framework. The TAM-C PS and its braid cluster can be employed to guide the creation of targeted vector vortex light beams, offer a geometric description of optical field evolution, and calculate the geometric phase of optical cyclic evolution.
Text
photonics-10-01276
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More information
Accepted/In Press date: 13 November 2023
e-pub ahead of print date: 17 November 2023
Published date: November 2023
Additional Information:
Funding Information:
This research was funded by the Engineering and Physical Sciences Research Council EP/V000624/1.
Publisher Copyright:
© 2023 by the authors.
Keywords:
TAM-C PS braid clusters, total angular momentum-conserving Poincaré sphere (TAM-C PS), vector vortex beam
Identifiers
Local EPrints ID: 484649
URI: http://eprints.soton.ac.uk/id/eprint/484649
ISSN: 2304-6732
PURE UUID: 9ee2abcc-9a5e-4958-a25a-f9412e7120fa
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Date deposited: 20 Nov 2023 17:32
Last modified: 18 Mar 2024 03:33
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Contributors
Author:
Wangke Yu
Author:
Hailong Pi
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