A variety of Fourier-invariant Gaussian beams
A two-parameter family of astigmatic elliptical Gaussian (AEG) optical vortices is found, which are free space modes up to scale and rotation. We calculate the total normalized orbital angular momentum of AEG vortices, which can be integer, fractional and zero, and which is equal to the algebraic su...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Samara National Research University
2018-10-01
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| Series: | Компьютерная оптика |
| Subjects: | |
| Online Access: | http://computeroptics.smr.ru/KO/PDF/KO42-5/420501.pdf |
| _version_ | 1831518562690269184 |
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| author | Victor Kotlyar Alexey Kovalev Alexey Porfirev |
| author_facet | Victor Kotlyar Alexey Kovalev Alexey Porfirev |
| author_sort | Victor Kotlyar |
| collection | DOAJ |
| description | A two-parameter family of astigmatic elliptical Gaussian (AEG) optical vortices is found, which are free space modes up to scale and rotation. We calculate the total normalized orbital angular momentum of AEG vortices, which can be integer, fractional and zero, and which is equal to the algebraic sum of two terms corresponding to the contribution of the vortex and astigmatic components of the light field. In any transverse plane, such a beam has an isolated n-fold degenerate intensity null on the optical axis (an optical vortex) embedded into an elliptical Gaussian beam. In addition to the quadratic elliptical phase, the beam has a phase of a cylindrical lens rotated by an angle of 45 degrees relative to the principal axes of the Gaussian beam intensity ellipse. |
| first_indexed | 2024-12-13T03:18:38Z |
| format | Article |
| id | doaj.art-e456cec16fe74c5e9fa17d0524fadab8 |
| institution | Directory Open Access Journal |
| issn | 0134-2452 2412-6179 |
| language | English |
| last_indexed | 2024-12-13T03:18:38Z |
| publishDate | 2018-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj.art-e456cec16fe74c5e9fa17d0524fadab82022-12-22T00:01:25ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792018-10-0142572773510.18287/2412-6179-2018-42-5-727-735A variety of Fourier-invariant Gaussian beamsVictor Kotlyar 0Alexey Kovalev1Alexey Porfirev2Samara National Research University, 34, Moskovskoye shosse, Samara, Samara, Russia, IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, Samara, RussiaSamara National Research University, 34, Moskovskoye shosse, Samara, Samara, Russia, IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, Samara, RussiaSamara National Research University, 34, Moskovskoye shosse, Samara, Samara, Russia, IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, Samara, RussiaA two-parameter family of astigmatic elliptical Gaussian (AEG) optical vortices is found, which are free space modes up to scale and rotation. We calculate the total normalized orbital angular momentum of AEG vortices, which can be integer, fractional and zero, and which is equal to the algebraic sum of two terms corresponding to the contribution of the vortex and astigmatic components of the light field. In any transverse plane, such a beam has an isolated n-fold degenerate intensity null on the optical axis (an optical vortex) embedded into an elliptical Gaussian beam. In addition to the quadratic elliptical phase, the beam has a phase of a cylindrical lens rotated by an angle of 45 degrees relative to the principal axes of the Gaussian beam intensity ellipse.http://computeroptics.smr.ru/KO/PDF/KO42-5/420501.pdfelliptic Gaussian vortexcylindrical lensspace modeorbital angular momentum |
| spellingShingle | Victor Kotlyar Alexey Kovalev Alexey Porfirev A variety of Fourier-invariant Gaussian beams Компьютерная оптика elliptic Gaussian vortex cylindrical lens space mode orbital angular momentum |
| title | A variety of Fourier-invariant Gaussian beams |
| title_full | A variety of Fourier-invariant Gaussian beams |
| title_fullStr | A variety of Fourier-invariant Gaussian beams |
| title_full_unstemmed | A variety of Fourier-invariant Gaussian beams |
| title_short | A variety of Fourier-invariant Gaussian beams |
| title_sort | variety of fourier invariant gaussian beams |
| topic | elliptic Gaussian vortex cylindrical lens space mode orbital angular momentum |
| url | http://computeroptics.smr.ru/KO/PDF/KO42-5/420501.pdf |
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