Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields
As is known, quasi-periodicity attracts great attention in many scientific regions. For instance, the discovery of the quasicrystal was rewarded the Nobel Prize in 2011, leading to a series of its applications. However, in the area of manipulating optical fields, the two-dimensional quasi-periodicit...
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MDPI AG
2023-09-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/10/9/1045 |
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| author | Yue Pan Xue-Feng Sun Guang-Bo Zhang Qing-Lu Li Ya-Ning Kong Tian-Fei Zhao Xu-Zhen Gao |
| author_facet | Yue Pan Xue-Feng Sun Guang-Bo Zhang Qing-Lu Li Ya-Ning Kong Tian-Fei Zhao Xu-Zhen Gao |
| author_sort | Yue Pan |
| collection | DOAJ |
| description | As is known, quasi-periodicity attracts great attention in many scientific regions. For instance, the discovery of the quasicrystal was rewarded the Nobel Prize in 2011, leading to a series of its applications. However, in the area of manipulating optical fields, the two-dimensional quasi-periodicity is rarely considered. Here, we study the two-dimensional quasi-periodic diffraction properties of the scalar and vector optical fields based on the Penrose tiling, which is one of the most representative kinds of two-dimensional quasi-periodic patterns. We propose type-A and type-B Penrose tiling masks (PTMs) with phase modulation, and further show the diffraction properties of the optical fields passing through these masks. The intensity of the diffraction field holds a tenfold symmetry. It is proved that the iteration number <i>n</i> of the PTM shows the “weeding” function in the diffraction field, and this property is useful in filtering, shaping, and manipulating diffraction fields. Meanwhile, we also find that the diffraction patterns have the label of the Golden ratio, which can be applied in areas such as optical encryption and information transmission. |
| first_indexed | 2024-03-10T22:14:35Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-10T22:14:35Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-acc821b5dc154f8bab0486b75ffb350b2023-11-19T12:30:18ZengMDPI AGPhotonics2304-67322023-09-01109104510.3390/photonics10091045Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical FieldsYue Pan0Xue-Feng Sun1Guang-Bo Zhang2Qing-Lu Li3Ya-Ning Kong4Tian-Fei Zhao5Xu-Zhen Gao6School of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaSchool of Physics and Physical Engineering, Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, ChinaAs is known, quasi-periodicity attracts great attention in many scientific regions. For instance, the discovery of the quasicrystal was rewarded the Nobel Prize in 2011, leading to a series of its applications. However, in the area of manipulating optical fields, the two-dimensional quasi-periodicity is rarely considered. Here, we study the two-dimensional quasi-periodic diffraction properties of the scalar and vector optical fields based on the Penrose tiling, which is one of the most representative kinds of two-dimensional quasi-periodic patterns. We propose type-A and type-B Penrose tiling masks (PTMs) with phase modulation, and further show the diffraction properties of the optical fields passing through these masks. The intensity of the diffraction field holds a tenfold symmetry. It is proved that the iteration number <i>n</i> of the PTM shows the “weeding” function in the diffraction field, and this property is useful in filtering, shaping, and manipulating diffraction fields. Meanwhile, we also find that the diffraction patterns have the label of the Golden ratio, which can be applied in areas such as optical encryption and information transmission.https://www.mdpi.com/2304-6732/10/9/1045diffractionvector beamquasi-periodicitystructured light |
| spellingShingle | Yue Pan Xue-Feng Sun Guang-Bo Zhang Qing-Lu Li Ya-Ning Kong Tian-Fei Zhao Xu-Zhen Gao Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields Photonics diffraction vector beam quasi-periodicity structured light |
| title | Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields |
| title_full | Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields |
| title_fullStr | Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields |
| title_full_unstemmed | Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields |
| title_short | Two-Dimensional Quasi-Periodic Diffraction Properties of the Scalar and Vector Optical Fields |
| title_sort | two dimensional quasi periodic diffraction properties of the scalar and vector optical fields |
| topic | diffraction vector beam quasi-periodicity structured light |
| url | https://www.mdpi.com/2304-6732/10/9/1045 |
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