Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses
In this paper, we consider the comparative formation of perfect optical vortices in the non-paraxial mode using various optical elements: non-paraxial and parabolic toroidal vortex lenses, as well as a vortex axicon in combination with a parabolic lens. The theoretical analysis of the action of thes...
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| Format: | Article |
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MDPI AG
2021-07-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/8/7/259 |
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| author | Svetlana N. Khonina Sergey I. Kharitonov Sergey G. Volotovskiy Viktor A. Soifer |
| author_facet | Svetlana N. Khonina Sergey I. Kharitonov Sergey G. Volotovskiy Viktor A. Soifer |
| author_sort | Svetlana N. Khonina |
| collection | DOAJ |
| description | In this paper, we consider the comparative formation of perfect optical vortices in the non-paraxial mode using various optical elements: non-paraxial and parabolic toroidal vortex lenses, as well as a vortex axicon in combination with a parabolic lens. The theoretical analysis of the action of these optical elements, as well as the calculation of caustic surfaces, is carried out using a hybrid geometrical-optical and wave approach. Numerical analysis performed on the basis of the expansion in conical waves qualitatively confirms the results obtained and makes it possible to reveal more details associated with diffraction effects. Equations of 3D-caustic surfaces are obtained and the conditions of the ring radius dependence on the order of the vortex phase singularity are analyzed. In the non-paraxial mode, when small light rings (several tens of wavelengths) are formed, a linear dependence of the ring radius on the vortex order is shown. The revealed features should be taken into account when using the considered optical elements forming the POV in various applications. |
| first_indexed | 2024-03-10T09:28:22Z |
| format | Article |
| id | doaj.art-7bcaf5251961468d8857785a1c3a6f3c |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-10T09:28:22Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
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| series | Photonics |
| spelling | doaj.art-7bcaf5251961468d8857785a1c3a6f3c2023-11-22T04:42:12ZengMDPI AGPhotonics2304-67322021-07-018725910.3390/photonics8070259Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex LensesSvetlana N. Khonina0Sergey I. Kharitonov1Sergey G. Volotovskiy2Viktor A. Soifer3IPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIPSI RAS—Branch of the FSRC “Crystallography and Photonics” RAS, Molodogvardeyskaya 151, 443001 Samara, RussiaIn this paper, we consider the comparative formation of perfect optical vortices in the non-paraxial mode using various optical elements: non-paraxial and parabolic toroidal vortex lenses, as well as a vortex axicon in combination with a parabolic lens. The theoretical analysis of the action of these optical elements, as well as the calculation of caustic surfaces, is carried out using a hybrid geometrical-optical and wave approach. Numerical analysis performed on the basis of the expansion in conical waves qualitatively confirms the results obtained and makes it possible to reveal more details associated with diffraction effects. Equations of 3D-caustic surfaces are obtained and the conditions of the ring radius dependence on the order of the vortex phase singularity are analyzed. In the non-paraxial mode, when small light rings (several tens of wavelengths) are formed, a linear dependence of the ring radius on the vortex order is shown. The revealed features should be taken into account when using the considered optical elements forming the POV in various applications.https://www.mdpi.com/2304-6732/8/7/259causticsperfect optical vorticestoroidal vortex lens |
| spellingShingle | Svetlana N. Khonina Sergey I. Kharitonov Sergey G. Volotovskiy Viktor A. Soifer Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses Photonics caustics perfect optical vortices toroidal vortex lens |
| title | Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses |
| title_full | Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses |
| title_fullStr | Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses |
| title_full_unstemmed | Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses |
| title_short | Caustics of Non-Paraxial Perfect Optical Vortices Generated by Toroidal Vortex Lenses |
| title_sort | caustics of non paraxial perfect optical vortices generated by toroidal vortex lenses |
| topic | caustics perfect optical vortices toroidal vortex lens |
| url | https://www.mdpi.com/2304-6732/8/7/259 |
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