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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2402.02153 |
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| _version_ | 1866918064687153152 |
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| author | Cao, Zheng-Xiao Liu, Ting-Ting Bo-Zhao Rosales-Guzmán, Carmelo Liu, Jun Zhu, Zhi-Han |
| author_facet | Cao, Zheng-Xiao Liu, Ting-Ting Bo-Zhao Rosales-Guzmán, Carmelo Liu, Jun Zhu, Zhi-Han |
| contents | Astigmatic unitary transformations allow for the adiabatic connections of all feasible states of paraxial Gaussian beams on the same modal sphere, i.e., Hermite-Laguerre-Gaussian (HLG) modes. Here, we present a comprehensive investigation into the unitary modal evolution of complex structured Gaussian beams, comprised by HLG modes from disparate modal spheres, via astigmatic transformation. The non-synchronized higher-order geometric phases in cyclic transformations originates a Talbot-effect-like modal evolution in the superposition state of these HLG modes, resulting in pattern variations and revivals in transformations with specific geodesic loops. Using Ince-Gaussian modes as an illustrative example, we systematically analyze and experimentally corroborate the beamforming mechanism behind the pattern evolution. Our results outline a generic modal conversion theory of structured Gaussian beams via astigmatic unitary transformation, offering a new approach for shaping spatial modal structure. These findings may inspire a wide variety of applications based on structured light. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Talbot-like pattern evolution in complex structured light from unitary transformation Cao, Zheng-Xiao Liu, Ting-Ting Bo-Zhao Rosales-Guzmán, Carmelo Liu, Jun Zhu, Zhi-Han Optics Astigmatic unitary transformations allow for the adiabatic connections of all feasible states of paraxial Gaussian beams on the same modal sphere, i.e., Hermite-Laguerre-Gaussian (HLG) modes. Here, we present a comprehensive investigation into the unitary modal evolution of complex structured Gaussian beams, comprised by HLG modes from disparate modal spheres, via astigmatic transformation. The non-synchronized higher-order geometric phases in cyclic transformations originates a Talbot-effect-like modal evolution in the superposition state of these HLG modes, resulting in pattern variations and revivals in transformations with specific geodesic loops. Using Ince-Gaussian modes as an illustrative example, we systematically analyze and experimentally corroborate the beamforming mechanism behind the pattern evolution. Our results outline a generic modal conversion theory of structured Gaussian beams via astigmatic unitary transformation, offering a new approach for shaping spatial modal structure. These findings may inspire a wide variety of applications based on structured light. |
| title | Talbot-like pattern evolution in complex structured light from unitary transformation |
| topic | Optics |
| url | https://arxiv.org/abs/2402.02153 |