SHI Changkun,XIA Zebin,Lü Peng,ZHANG Zengqi,XU Zongwei.Generalized design of tunable 3D polarized optical multi-focal spots array[J].Optoelectronics Letters,2022,(12):705-711
Generalized design of tunable 3D polarized optical multi-focal spots array
Author NameAffiliation
SHI Changkun State Key Laboratory of Precision Measuring Technology & Instruments, Tianjin University, Tianjin 300072, China[* This work has been supported by the National Natural Science Foundation of China Nos.11974258, 11604236, the 2020 Mobility Programme of the Sino-German Center for Research Promotion No.M-0396, the ‘111’ Project by the State Administration of Foreign Experts Affairs and the Ministry of Education of China No.B07014, the Key Research and Development R&D Projects of Shanxi Province No.201903D121127, and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi No.2019L0151. 
XIA Zebin State Key Laboratory of Precision Measuring Technology & Instruments, Tianjin University, Tianjin 300072, China[* This work has been supported by the National Natural Science Foundation of China Nos.11974258, 11604236, the 2020 Mobility Programme of the Sino-German Center for Research Promotion No.M-0396, the ‘111’ Project by the State Administration of Foreign Experts Affairs and the Ministry of Education of China No.B07014, the Key Research and Development R&D Projects of Shanxi Province No.201903D121127, and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi No.2019L0151. 
Lü Peng State Key Laboratory of Precision Measuring Technology & Instruments, Tianjin University, Tianjin 300072, China[* This work has been supported by the National Natural Science Foundation of China Nos.11974258, 11604236, the 2020 Mobility Programme of the Sino-German Center for Research Promotion No.M-0396, the ‘111’ Project by the State Administration of Foreign Experts Affairs and the Ministry of Education of China No.B07014, the Key Research and Development R&D Projects of Shanxi Province No.201903D121127, and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi No.2019L0151. 
ZHANG Zengqi State Key Laboratory of Precision Measuring Technology & Instruments, Tianjin University, Tianjin 300072, China[* This work has been supported by the National Natural Science Foundation of China Nos.11974258, 11604236, the 2020 Mobility Programme of the Sino-German Center for Research Promotion No.M-0396, the ‘111’ Project by the State Administration of Foreign Experts Affairs and the Ministry of Education of China No.B07014, the Key Research and Development R&D Projects of Shanxi Province No.201903D121127, and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi No.2019L0151. 
XU Zongwei State Key Laboratory of Precision Measuring Technology & Instruments, Tianjin University, Tianjin 300072, China[* This work has been supported by the National Natural Science Foundation of China Nos.11974258, 11604236, the 2020 Mobility Programme of the Sino-German Center for Research Promotion No.M-0396, the ‘111’ Project by the State Administration of Foreign Experts Affairs and the Ministry of Education of China No.B07014, the Key Research and Development R&D Projects of Shanxi Province No.201903D121127, and the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi No.2019L0151. 
Abstract:
      We report a generally designed optical modulation method to garner the tunable three-dimensional (3D) polarized optical multi-focal spots arrays in the focusing system of high numerical aperture (NA) objective lens, and it has good compatibility with vector beams of different polarization states. Based on the vector angular spectrum theory and Fourier transform, the vector light fields of Gaussian beam, Bessel-Gaussian (BG) beam and Laguerre-Gaussian (LG) beam are modulated with the generally designed multi-focal spots phase filter (MSPF). Meanwhile, a generally designed sidelobe suppression transmission (SST) function is employed to reduce the interference effect of the adjacent focal spots in the arrays. Thus, the one-dimensional (1D) axial multi-focal spots array and the 3D multi-focal spots arrays with high spatial resolution can be generated. The MSPF is flexible and reliable in modulating various vector beams, and exhibiting high tunability for the number (3, 12, 21), spacing (4λ—11.3λ) and spatial distribution (1D—3D) of focal spots in the array. With the generally designed MSPF, the generation of multi-focus array is promoted to be more universal and flexible and shows potential application prospects in femtosecond laser multi-beam parallel processing, particle capture, as well as high-density data storage.
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