Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization
Breaking the diffraction limit to realize imaging at the nanoscale is challenging in scientific research. Traditional sub-diffraction focusing metalens is obtained by arranging artificially selected unit cells, of which the design process is passive and complex. This paper brings up an inverse desig...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acfcd6 |
| _version_ | 1797660670209032192 |
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| author | Lianhong Dong Weijie Kong Changtao Wang Guoyu Luo Mingbo Pu Xiaoliang Ma Xiong Li Xiangang Luo |
| author_facet | Lianhong Dong Weijie Kong Changtao Wang Guoyu Luo Mingbo Pu Xiaoliang Ma Xiong Li Xiangang Luo |
| author_sort | Lianhong Dong |
| collection | DOAJ |
| description | Breaking the diffraction limit to realize imaging at the nanoscale is challenging in scientific research. Traditional sub-diffraction focusing metalens is obtained by arranging artificially selected unit cells, of which the design process is passive and complex. This paper brings up an inverse design idea of planar sub-diffraction focusing metalens based on super-oscillatory theory to solve these problems, starting from a desired focusing performance. The sub-diffraction focusing metalens is then obtained by iterative topology optimization with different initial structures. We introduce the adjoint-based topology inverse optimization into the structural design of sub-diffraction focusing metalens, which provides another way to design a sub-diffraction metalens for far-field unmarked super-resolution imaging. Based on this idea, we achieve a sub-diffraction focusing characterized by a focal radius of 0.75 times the Rayleigh diffraction limit, optimizing from a diffraction-limited focusing metalens. Moreover, focal radii between 0.63 and 0.73 times the Rayleigh diffraction limit are achieved by optimizing 11 sets of random initial metasurface structures with even no focusing performance. The results indicate that our method is independent of the initial structure distribution, which can be extended to the inverse design of other functional metasurfaces in imaging, lithography, and other fields. |
| first_indexed | 2024-03-11T18:34:16Z |
| format | Article |
| id | doaj.art-c0691c3dea4e47ac8d5ba4ab77da6c5a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-11T18:34:16Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-c0691c3dea4e47ac8d5ba4ab77da6c5a2023-10-13T07:46:01ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251010302610.1088/1367-2630/acfcd6Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimizationLianhong Dong0Weijie Kong1https://orcid.org/0000-0001-7534-7461Changtao Wang2Guoyu Luo3Mingbo Pu4Xiaoliang Ma5Xiong Li6Xiangang Luo7https://orcid.org/0000-0002-1401-1670State Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; Research Center on Vector Optical Fields, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaState Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences , Chengdu 610209, People’s Republic of China; School of Optoelectronics, University of Chinese Academy of Science , Beijing 100049, People’s Republic of ChinaBreaking the diffraction limit to realize imaging at the nanoscale is challenging in scientific research. Traditional sub-diffraction focusing metalens is obtained by arranging artificially selected unit cells, of which the design process is passive and complex. This paper brings up an inverse design idea of planar sub-diffraction focusing metalens based on super-oscillatory theory to solve these problems, starting from a desired focusing performance. The sub-diffraction focusing metalens is then obtained by iterative topology optimization with different initial structures. We introduce the adjoint-based topology inverse optimization into the structural design of sub-diffraction focusing metalens, which provides another way to design a sub-diffraction metalens for far-field unmarked super-resolution imaging. Based on this idea, we achieve a sub-diffraction focusing characterized by a focal radius of 0.75 times the Rayleigh diffraction limit, optimizing from a diffraction-limited focusing metalens. Moreover, focal radii between 0.63 and 0.73 times the Rayleigh diffraction limit are achieved by optimizing 11 sets of random initial metasurface structures with even no focusing performance. The results indicate that our method is independent of the initial structure distribution, which can be extended to the inverse design of other functional metasurfaces in imaging, lithography, and other fields.https://doi.org/10.1088/1367-2630/acfcd6sub-diffractionfocusing metalenstopology optimizationadjoint method |
| spellingShingle | Lianhong Dong Weijie Kong Changtao Wang Guoyu Luo Mingbo Pu Xiaoliang Ma Xiong Li Xiangang Luo Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization New Journal of Physics sub-diffraction focusing metalens topology optimization adjoint method |
| title | Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization |
| title_full | Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization |
| title_fullStr | Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization |
| title_full_unstemmed | Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization |
| title_short | Inverse design of sub-diffraction focusing metalens by adjoint-based topology optimization |
| title_sort | inverse design of sub diffraction focusing metalens by adjoint based topology optimization |
| topic | sub-diffraction focusing metalens topology optimization adjoint method |
| url | https://doi.org/10.1088/1367-2630/acfcd6 |
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