Fourier-invariant autofocused Laguerre-Gaussian beams
We study a new Laguerre - Gaussian (LG) beam, which differs from conventional LG mode beams that preserve the structure of the intensity distribution up to scale. The proposed beam does not retain its structure upon free-space propagation but shows some interesting properties. This beam is Fourier i...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2024-04-01
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| Series: | Компьютерная оптика |
| Subjects: | |
| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO48-2/480202e.html |
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| author | V.V. Kotlyar E.G. Abramochkin A.A. Kovalev E.S. Kozlova A.A. Savelyeva |
| author_facet | V.V. Kotlyar E.G. Abramochkin A.A. Kovalev E.S. Kozlova A.A. Savelyeva |
| author_sort | V.V. Kotlyar |
| collection | DOAJ |
| description | We study a new Laguerre - Gaussian (LG) beam, which differs from conventional LG mode beams that preserve the structure of the intensity distribution up to scale. The proposed beam does not retain its structure upon free-space propagation but shows some interesting properties. This beam is Fourier invariant and has extended dark regions in the initial (waist) plane and in the far field. Thus, while maintaining the beam topological charge, the effective diameter of the central dark intensity spot can be increased or decreased by changing the radial index of the Laguerre polynomial. In addition, this beam has the property of autofocusing, that is, at the Rayleigh distance from the waist, the intensity distribution has the form of a light ring (for any value of the radial index) with a minimum diameter and maximum intensity on the ring. This beam can be used to manipulate microparticles without using an additional focusing spherical lens. |
| format | Article |
| id | doaj-art-61f1b809c0d24d45afe7bd9f943a4780 |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-61f1b809c0d24d45afe7bd9f943a47802025-02-04T11:28:10ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792024-04-0148218018510.18287/2412-6179-CO-1374Fourier-invariant autofocused Laguerre-Gaussian beamsV.V. Kotlyar0E.G. Abramochkin1A.A. Kovalev2E.S. Kozlova3A.A. Savelyeva4Image Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityImage Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityImage Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityImage Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityImage Processing Systems Institute, NRC "Kurchatov Institute"; Samara National Research UniversityWe study a new Laguerre - Gaussian (LG) beam, which differs from conventional LG mode beams that preserve the structure of the intensity distribution up to scale. The proposed beam does not retain its structure upon free-space propagation but shows some interesting properties. This beam is Fourier invariant and has extended dark regions in the initial (waist) plane and in the far field. Thus, while maintaining the beam topological charge, the effective diameter of the central dark intensity spot can be increased or decreased by changing the radial index of the Laguerre polynomial. In addition, this beam has the property of autofocusing, that is, at the Rayleigh distance from the waist, the intensity distribution has the form of a light ring (for any value of the radial index) with a minimum diameter and maximum intensity on the ring. This beam can be used to manipulate microparticles without using an additional focusing spherical lens.https://www.computeroptics.ru/eng/KO/Annot/KO48-2/480202e.htmloptical vortexlaguerre-gaussian beamfourier transformfresnel transform |
| spellingShingle | V.V. Kotlyar E.G. Abramochkin A.A. Kovalev E.S. Kozlova A.A. Savelyeva Fourier-invariant autofocused Laguerre-Gaussian beams Компьютерная оптика optical vortex laguerre-gaussian beam fourier transform fresnel transform |
| title | Fourier-invariant autofocused Laguerre-Gaussian beams |
| title_full | Fourier-invariant autofocused Laguerre-Gaussian beams |
| title_fullStr | Fourier-invariant autofocused Laguerre-Gaussian beams |
| title_full_unstemmed | Fourier-invariant autofocused Laguerre-Gaussian beams |
| title_short | Fourier-invariant autofocused Laguerre-Gaussian beams |
| title_sort | fourier invariant autofocused laguerre gaussian beams |
| topic | optical vortex laguerre-gaussian beam fourier transform fresnel transform |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO48-2/480202e.html |
| work_keys_str_mv | AT vvkotlyar fourierinvariantautofocusedlaguerregaussianbeams AT egabramochkin fourierinvariantautofocusedlaguerregaussianbeams AT aakovalev fourierinvariantautofocusedlaguerregaussianbeams AT eskozlova fourierinvariantautofocusedlaguerregaussianbeams AT aasavelyeva fourierinvariantautofocusedlaguerregaussianbeams |