Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method
In this study, we devised a method for the design of continuous phase-only holographic masks that map laser light to arbitrary target illumination patterns, which have a wide range of applications. In this method, the discrete gradient of a holographic mask is obtained by combining geometric optics...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/9/11/874 |
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| author | Kuo Shi Gongjian Zhang |
| author_facet | Kuo Shi Gongjian Zhang |
| author_sort | Kuo Shi |
| collection | DOAJ |
| description | In this study, we devised a method for the design of continuous phase-only holographic masks that map laser light to arbitrary target illumination patterns, which have a wide range of applications. In this method, the discrete gradient of a holographic mask is obtained by combining geometric optics and the linear assignment problem (LAP) methods, and then the entire problem is transformed into an integral problem with a discrete gradient. Finally, the least squares method is used to solve the gradient integral to complete the construction of a phase holographic mask. Due to its good continuity, this mask design method can also be applied to the production of diffractive optical elements. We discussed the effectiveness of this method by constructing two holographic masks with uniform illumination. At the same time, we successfully constructed an Einstein face holographic mask with non-uniform illumination using the LAP method for the first time. It is believed that this method can be widely used in illumination mode, ion capture and other directions. |
| first_indexed | 2024-03-09T18:03:38Z |
| format | Article |
| id | doaj.art-15d39ae12ece479eb7e98427a81f0ec4 |
| institution | Directory Open Access Journal |
| issn | 2304-6732 |
| language | English |
| last_indexed | 2024-03-09T18:03:38Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj.art-15d39ae12ece479eb7e98427a81f0ec42023-11-24T09:37:58ZengMDPI AGPhotonics2304-67322022-11-0191187410.3390/photonics9110874Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative MethodKuo Shi0Gongjian Zhang1Department of Opto-Electronic System Engineering, Chitose Institute of Science and Technology, Chitose 066-8655, JapanDepartment of Opto-Electronic System Engineering, Chitose Institute of Science and Technology, Chitose 066-8655, JapanIn this study, we devised a method for the design of continuous phase-only holographic masks that map laser light to arbitrary target illumination patterns, which have a wide range of applications. In this method, the discrete gradient of a holographic mask is obtained by combining geometric optics and the linear assignment problem (LAP) methods, and then the entire problem is transformed into an integral problem with a discrete gradient. Finally, the least squares method is used to solve the gradient integral to complete the construction of a phase holographic mask. Due to its good continuity, this mask design method can also be applied to the production of diffractive optical elements. We discussed the effectiveness of this method by constructing two holographic masks with uniform illumination. At the same time, we successfully constructed an Einstein face holographic mask with non-uniform illumination using the LAP method for the first time. It is believed that this method can be widely used in illumination mode, ion capture and other directions.https://www.mdpi.com/2304-6732/9/11/874linear assignment problem (LAP)phase-only freeformcomputer-generated holography |
| spellingShingle | Kuo Shi Gongjian Zhang Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method Photonics linear assignment problem (LAP) phase-only freeform computer-generated holography |
| title | Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method |
| title_full | Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method |
| title_fullStr | Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method |
| title_full_unstemmed | Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method |
| title_short | Design and Application of Phase-Only Diffractive Optical Element Based on Non-Iterative Method |
| title_sort | design and application of phase only diffractive optical element based on non iterative method |
| topic | linear assignment problem (LAP) phase-only freeform computer-generated holography |
| url | https://www.mdpi.com/2304-6732/9/11/874 |
| work_keys_str_mv | AT kuoshi designandapplicationofphaseonlydiffractiveopticalelementbasedonnoniterativemethod AT gongjianzhang designandapplicationofphaseonlydiffractiveopticalelementbasedonnoniterativemethod |