Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods
We conduct a comparative analysis of diffraction fields upon sharply focusing vortex and non-vortex incident beams, calculated using three non-paraxial methods. The methods employed are a finite difference time domain (FDTD) method, a Rayleigh–Sommerfeld integral, and a Richards–Wolf transformation....
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| Language: | English |
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Samara National Research University
2023-10-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470507e.html |
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| author | A.G. Nalimov V.V. Kotlyar Yu.V. Khanenko |
| author_facet | A.G. Nalimov V.V. Kotlyar Yu.V. Khanenko |
| author_sort | A.G. Nalimov |
| collection | DOAJ |
| description | We conduct a comparative analysis of diffraction fields upon sharply focusing vortex and non-vortex incident beams, calculated using three non-paraxial methods. The methods employed are a finite difference time domain (FDTD) method, a Rayleigh–Sommerfeld integral, and a Richards–Wolf transformation. The Richards–Wolf transformation is used with two apodization functions of the exit pupil, for a spherical lens and a thin diffractive lens. The numerical simulation shows that the Rayleigh–Sommerfeld integral and the Richards–Wolf transformation can produce almost the same result and save time significantly. Meanwhile, the root-mean-square deviation of the results of both methods from the FDTD method can be as low as 2%. If an ultra-short focal length is used, the Richards–Wolf transformation is found to be more accurate, whereas with increasing distance from the initial plane and outside the focal plane, the Rayleigh-Sommerfeld integral is more accurate. |
| format | Article |
| id | doaj-art-fc0611d9292248b88372dcbca52b1e90 |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-fc0611d9292248b88372dcbca52b1e902025-01-22T04:48:05ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792023-10-0147573474110.18287/2412-6179-CO-1346Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methodsA.G. Nalimov0V.V. Kotlyar1Yu.V. Khanenko2IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityWe conduct a comparative analysis of diffraction fields upon sharply focusing vortex and non-vortex incident beams, calculated using three non-paraxial methods. The methods employed are a finite difference time domain (FDTD) method, a Rayleigh–Sommerfeld integral, and a Richards–Wolf transformation. The Richards–Wolf transformation is used with two apodization functions of the exit pupil, for a spherical lens and a thin diffractive lens. The numerical simulation shows that the Rayleigh–Sommerfeld integral and the Richards–Wolf transformation can produce almost the same result and save time significantly. Meanwhile, the root-mean-square deviation of the results of both methods from the FDTD method can be as low as 2%. If an ultra-short focal length is used, the Richards–Wolf transformation is found to be more accurate, whereas with increasing distance from the initial plane and outside the focal plane, the Rayleigh-Sommerfeld integral is more accurate.https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470507e.htmlvector beamsharp focusingrayleigh-sommerfeld integralrichards-wolf transformation |
| spellingShingle | A.G. Nalimov V.V. Kotlyar Yu.V. Khanenko Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods Компьютерная оптика vector beam sharp focusing rayleigh-sommerfeld integral richards-wolf transformation |
| title | Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods |
| title_full | Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods |
| title_fullStr | Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods |
| title_full_unstemmed | Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods |
| title_short | Calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods |
| title_sort | calculation of the intensity at the sharp focus of a cylindrical vector beam by three methods |
| topic | vector beam sharp focusing rayleigh-sommerfeld integral richards-wolf transformation |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470507e.html |
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