The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium
Based on the Huygens–Fresnel integral and ABCD matrix, the propagation equation for the Lorentz–Gauss vortex beam (LGVB) in a gradient-index medium (GRIN) is rederived. The evolution of the intensity and phase distributions of an LGVB through a GRIN medium are numerically calculated as a function of...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2023/3772408 |
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| author | Mohammed S. Qusailah Abdu A. Alkelly Wafa’a A. Al-Bahry |
| author_facet | Mohammed S. Qusailah Abdu A. Alkelly Wafa’a A. Al-Bahry |
| author_sort | Mohammed S. Qusailah |
| collection | DOAJ |
| description | Based on the Huygens–Fresnel integral and ABCD matrix, the propagation equation for the Lorentz–Gauss vortex beam (LGVB) in a gradient-index medium (GRIN) is rederived. The evolution of the intensity and phase distributions of an LGVB through a GRIN medium are numerically calculated as a function of the gradient-index parameter with changes in the incident beam parameters. The results showed that the propagation path and intensity distributions changed periodically with increasing propagation distance. In contrast, phase distributions change at multiples of π/β or 2π/β, depending on whether the M values are odd or even, respectively. At the same time, the parameters of the gradient index determine the periodic values of the Lorentz–Gauss vortex beams during propagation, and as β increased, the period of evolution decreased. The Lorentz–Gauss vortex beam propagating through the gradient index will develop from a square beam to a Gaussian vortex beam more quickly with an increase of w0x=w0y. In addition, the topological charge affects the size of the dark spot at the center of the beam and the size of the beam, causing the phase distributions to change periodically in the medium. This study is beneficial for laser optics and optical communications. |
| format | Article |
| id | doaj-art-d01cd39a927b4affbe2fd250896a4878 |
| institution | DOAJ |
| issn | 1687-9392 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-d01cd39a927b4affbe2fd250896a48782025-08-20T03:19:43ZengWileyInternational Journal of Optics1687-93922023-01-01202310.1155/2023/3772408The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index MediumMohammed S. Qusailah0Abdu A. Alkelly1Wafa’a A. Al-Bahry2Department of PhysicsDepartment of PhysicsDepartment of PhysicsBased on the Huygens–Fresnel integral and ABCD matrix, the propagation equation for the Lorentz–Gauss vortex beam (LGVB) in a gradient-index medium (GRIN) is rederived. The evolution of the intensity and phase distributions of an LGVB through a GRIN medium are numerically calculated as a function of the gradient-index parameter with changes in the incident beam parameters. The results showed that the propagation path and intensity distributions changed periodically with increasing propagation distance. In contrast, phase distributions change at multiples of π/β or 2π/β, depending on whether the M values are odd or even, respectively. At the same time, the parameters of the gradient index determine the periodic values of the Lorentz–Gauss vortex beams during propagation, and as β increased, the period of evolution decreased. The Lorentz–Gauss vortex beam propagating through the gradient index will develop from a square beam to a Gaussian vortex beam more quickly with an increase of w0x=w0y. In addition, the topological charge affects the size of the dark spot at the center of the beam and the size of the beam, causing the phase distributions to change periodically in the medium. This study is beneficial for laser optics and optical communications.http://dx.doi.org/10.1155/2023/3772408 |
| spellingShingle | Mohammed S. Qusailah Abdu A. Alkelly Wafa’a A. Al-Bahry The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium International Journal of Optics |
| title | The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium |
| title_full | The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium |
| title_fullStr | The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium |
| title_full_unstemmed | The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium |
| title_short | The Propagation Properties of a Lorentz–Gauss Vortex Beam in a Gradient-Index Medium |
| title_sort | propagation properties of a lorentz gauss vortex beam in a gradient index medium |
| url | http://dx.doi.org/10.1155/2023/3772408 |
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