Transverse Focal Shift in Vortex Beams
The transverse focal shift (TFS) is a phenomenon that the maximum of a focused field does not occur at the geometrical focus, but is moved a short distance transversely in the focal plane. In this paper, the TFS of vortex beams in a high numerical aperture system is investigated. Four typical types...
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IEEE
2018-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/8264749/ |
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| author | Xinying Zhao Xiaoyan Pang Jingcheng Zhang Guobin Wan |
| author_facet | Xinying Zhao Xiaoyan Pang Jingcheng Zhang Guobin Wan |
| author_sort | Xinying Zhao |
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| description | The transverse focal shift (TFS) is a phenomenon that the maximum of a focused field does not occur at the geometrical focus, but is moved a short distance transversely in the focal plane. In this paper, the TFS of vortex beams in a high numerical aperture system is investigated. Four typical types of incident vortex beams are selected and the intensity distributions and the vortices behaviors in the focal region are discussed analytically and numerically. It is found that there are three main parameters, the topological charge, the initial positions of the vortices, and the semiaperture angle influencing the TFS in different ways, and the TFS even can be observed when the vortices annihilate in the focal plane. Our results also show that the intensity maximum can move from the <inline-formula><tex-math notation="LaTeX">$y$</tex-math></inline-formula>-axis, <inline-formula> <tex-math notation="LaTeX">$x$</tex-math></inline-formula>-axis to the geometrical focus, or move from <inline-formula> <tex-math notation="LaTeX">$+y$</tex-math></inline-formula>-axis to <inline-formula><tex-math notation="LaTeX">$-y$ </tex-math></inline-formula>-axis in different cases, which may have implications in optical trapping. |
| format | Article |
| id | doaj-art-99bea7d3e68c413793a2a8d3016c7c43 |
| institution | Kabale University |
| issn | 1943-0655 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | IEEE |
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| series | IEEE Photonics Journal |
| spelling | doaj-art-99bea7d3e68c413793a2a8d3016c7c432025-08-20T03:31:24ZengIEEEIEEE Photonics Journal1943-06552018-01-0110111710.1109/JPHOT.2018.27955978264749Transverse Focal Shift in Vortex BeamsXinying Zhao0Xiaoyan Pang1https://orcid.org/0000-0001-8265-0952Jingcheng Zhang2Guobin Wan3School of Electronics and Information, Northwestern Polytechnical University, Xi’an, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an, ChinaThe transverse focal shift (TFS) is a phenomenon that the maximum of a focused field does not occur at the geometrical focus, but is moved a short distance transversely in the focal plane. In this paper, the TFS of vortex beams in a high numerical aperture system is investigated. Four typical types of incident vortex beams are selected and the intensity distributions and the vortices behaviors in the focal region are discussed analytically and numerically. It is found that there are three main parameters, the topological charge, the initial positions of the vortices, and the semiaperture angle influencing the TFS in different ways, and the TFS even can be observed when the vortices annihilate in the focal plane. Our results also show that the intensity maximum can move from the <inline-formula><tex-math notation="LaTeX">$y$</tex-math></inline-formula>-axis, <inline-formula> <tex-math notation="LaTeX">$x$</tex-math></inline-formula>-axis to the geometrical focus, or move from <inline-formula> <tex-math notation="LaTeX">$+y$</tex-math></inline-formula>-axis to <inline-formula><tex-math notation="LaTeX">$-y$ </tex-math></inline-formula>-axis in different cases, which may have implications in optical trapping.https://ieeexplore.ieee.org/document/8264749/Singular opticsdiffraction theoryoptical vortextransverse focal shift |
| spellingShingle | Xinying Zhao Xiaoyan Pang Jingcheng Zhang Guobin Wan Transverse Focal Shift in Vortex Beams IEEE Photonics Journal Singular optics diffraction theory optical vortex transverse focal shift |
| title | Transverse Focal Shift in Vortex Beams |
| title_full | Transverse Focal Shift in Vortex Beams |
| title_fullStr | Transverse Focal Shift in Vortex Beams |
| title_full_unstemmed | Transverse Focal Shift in Vortex Beams |
| title_short | Transverse Focal Shift in Vortex Beams |
| title_sort | transverse focal shift in vortex beams |
| topic | Singular optics diffraction theory optical vortex transverse focal shift |
| url | https://ieeexplore.ieee.org/document/8264749/ |
| work_keys_str_mv | AT xinyingzhao transversefocalshiftinvortexbeams AT xiaoyanpang transversefocalshiftinvortexbeams AT jingchengzhang transversefocalshiftinvortexbeams AT guobinwan transversefocalshiftinvortexbeams |