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Li P, Guo X, Qi S, Han L, Zhang Y, Liu S, Li Y, Zhao J. Creation of independently controllable multiple focal spots from segmented Pancharatnam-Berry phases. Sci Rep 2018; 8:9831. [PMID: 29959390 PMCID: PMC6026170 DOI: 10.1038/s41598-018-28186-3] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2018] [Accepted: 06/18/2018] [Indexed: 11/22/2022] Open
Abstract
Recently, based on space-variant Pancharatnam-Berry (PB) phases, various flat devices allowing abrupt changes of beam parameters have been predicted and demonstrated to implement intriguing manipulation on spin states in three dimensions, including the efficient generation of vector beams, spin Hall effect of light and light-guiding confinement, and so on. Here, we report on the construction of independently controllable multiple focal spots with different inhomogeneous polarization states by utilizing segmented PB phases. Combining the phase shift approach with PB phases, we engineer fan-shaped segmented PB phases and encode them onto two spin components that compose a hybrid polarized vector beam in a modified common-path interferometer system. Experimental results demonstrate that the fan-shaped segmented PB phase enables the flexible manipulation of focal number, array structure and polarization state of each focal spot. Furthermore, we demonstrate that this fan-shaped approach enables to flexibly tailor the polarization state and the spin angular momentum distribution of a tightly focused field, which have potential applications in optical manipulation, tailored optical response and imaging etc.
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Affiliation(s)
- Peng Li
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China.
| | - Xuyue Guo
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China
| | - Shuxia Qi
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China
| | - Lei Han
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China
| | - Yi Zhang
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China
| | - Sheng Liu
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China
| | - Yu Li
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China
| | - Jianlin Zhao
- MOE Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Shaanxi Key Laboratory of Optical information Technology, School of Science, Northwestern Polytechnical University, Xi'an, 710129, China.
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Man Z, Bai Z, Li J, Zhang S, Li X, Ge X, Fu S. Focus shaping by tailoring arbitrary hybrid polarization states that have a combination of orthogonal linear polarization bases. APPLIED OPTICS 2018; 57:3047-3055. [PMID: 29714336 DOI: 10.1364/ao.57.003047] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/20/2017] [Accepted: 03/12/2018] [Indexed: 06/08/2023]
Abstract
We report a focus shaping method by tailoring hybrid states of polarization of arbitrary polarized beams that have a combination of orthogonal linear polarization bases. Such hybridly polarized beams comprising linear, elliptical, and circular polarizations in the beam cross section, have completely different optical properties compared to the scalar and locally linear-polarized vector beams. We demonstrate that, apart from the orientation of the local polarization state, another two degrees of freedom including the local ellipticity and the handedness in the beam cross section can be used in focus shaping. Square-shaped patterns, multiple foci, three-dimensional optical cages, optical needles, and channels can be obtained due to the increased control without any additional phase or amplitude modulations.
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Nie ZQ, Lin H, Liu XF, Zhai AP, Tian YT, Wang WJ, Li DY, Ding WQ, Zhang XR, Song YL, Jia BH. Three-dimensional super-resolution longitudinal magnetization spot arrays. LIGHT, SCIENCE & APPLICATIONS 2017; 6:e17032. [PMID: 30167282 PMCID: PMC6062314 DOI: 10.1038/lsa.2017.32] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2016] [Revised: 02/14/2017] [Accepted: 02/27/2017] [Indexed: 05/16/2023]
Abstract
We demonstrate an all-optical strategy for realizing spherical three-dimensional (3D) super-resolution (∼λ3/22) spot arrays of pure longitudinal magnetization by exploiting a 4π optical microscopic setup with two high numerical aperture (NA) objective lenses, which focus and interfere two modulated vectorial beams. Multiple phase filters (MPFs) are designed via an analytical approach derived from the vectorial Debye diffraction theory to modulate the two circularly polarized beams. The system is tailored to constructively interfere the longitudinal magnetization components, while simultaneously destructively interfering the azimuthal ones. As a result, the magnetization field is not only purely longitudinal but also super-resolved in all three dimensions. Furthermore, the MPFs can be designed analytically to control the number and locations of the super-resolved magnetization spots to produce both uniform and nonuniform arrays in a 3D volume. Thus, an all-optical control of all the properties of light-induced magnetization spot arrays has been demonstrated for the first time. These results open up broad applications in magnetic-optical devices such as confocal and multifocal magnetic resonance microscopy, 3D ultrahigh-density magneto-optic memory, and light-induced magneto-lithography.
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Affiliation(s)
- Zhong-Quan Nie
- Key Lab of Advanced Transducers and Intelligent Control Systems, Ministry of Education of Shanxi Province, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China
| | - Han Lin
- Centre for Micro-Photonics, Faculty of Science, Engineering and Technology, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia
| | - Xiao-Fei Liu
- Department of Science, Taiyuan Institute of Technology, Taiyuan 030008, China
| | - Ai-Ping Zhai
- Key Lab of Advanced Transducers and Intelligent Control Systems, Ministry of Education of Shanxi Province, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China
| | - Yan-Ting Tian
- Key Lab of Advanced Transducers and Intelligent Control Systems, Ministry of Education of Shanxi Province, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China
| | - Wen-Jie Wang
- Key Lab of Advanced Transducers and Intelligent Control Systems, Ministry of Education of Shanxi Province, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China
| | - Dong-Yu Li
- Department of Physics, Lingnan Normal University, Zhanjiang 524048, China
| | - Wei-Qiang Ding
- Department of Physics, Harbin Institute of Technology, Harbin 150001, China
| | - Xue-Ru Zhang
- Department of Physics, Harbin Institute of Technology, Harbin 150001, China
| | - Ying-Lin Song
- Department of Physics, Harbin Institute of Technology, Harbin 150001, China
| | - Bao-Hua Jia
- Key Lab of Advanced Transducers and Intelligent Control Systems, Ministry of Education of Shanxi Province, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China
- Centre for Micro-Photonics, Faculty of Science, Engineering and Technology, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia
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Zhu L, Sun M, Zhu M, Chen J, Gao X, Ma W, Zhang D. Three-dimensional shape-controllable focal spot array created by focusing vortex beams modulated by multi-value pure-phase grating. OPTICS EXPRESS 2014; 22:21354-21367. [PMID: 25321514 DOI: 10.1364/oe.22.021354] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We propose a method for creating a three-dimensional (3D) shape-controllable focal spot array by combination of a two-dimensional (2D) pure-phase modulation grating and an additional axial shifting pure-phase modulation composed of four-quadrant phase distribution unit at the back aperture of a high numerical aperture (NA) objective. It is demonstrated that the one-dimensional (1D) grating designed by optimized algorithm of selected number of equally spaced arbitrary phase value in a single period could produce desired number of equally spaced diffraction spot with identical intensity. It is also shown that the 2D pure-phase grating designed with this method could generate 2D diffraction spot array. The number of the spots in the array along each of two dimensions depends solely on the number of divided area with different phase values of the dimension. We also show that, by combining the axial translation phase modulation at the back aperture, we can create 3D focal spot array at the focal volume of the high NA objective. Furthermore, the shape or intensity distribution of each focal spot in the 3D focal array can be manipulated by introducing spatially shifted multi vortex beams as the incident beam. These kinds of 3D shape-controllable focal spot array could be utilized in the fabrication of artificial metamaterials, in parallel optical micromanipulation and multifocal multiphoton microscopic imaging.
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Zhu L, Yu J, Zhang D, Sun M, Chen J. Multifocal spot array generated by fractional Talbot effect phase-only modulation. OPTICS EXPRESS 2014; 22:9798-9808. [PMID: 24787865 DOI: 10.1364/oe.22.009798] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We propose an approach for generating a multifocal spot array (MSA) with a high numerical aperture (NA) objective. The MSA is generated by using a special designed phase-only modulation at the back aperture of an objective. Without using any iteration algorithm, the modulated phase pattern is directly obtained by the simple analytical expressions based on the fractional Talbot effect. It is shown that the number of the spots in the focal region depends solely on the fractional Talbot parameter. By engineering the phase pattern with a large fractional Talbot parameter, a large number of focal spots can be created. Furthermore, the intensity distribution of each focal spot can be manipulated by introducing a composite spatially shifted vortex beam (CSSVB) as the incident field, leading to creation of various kinds of specific shaped spots. Consequently, the MSA composed of multiple individual spots with specific shape is created by focusing the CSSVB combined with the multifocal phase-only modulation. These kinds of MSAs may be found applications in parallel optical micromanipulation, multifocal multiphoton microscopic imaging, and parallel laser printing nanofabrication.
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Man Z, Min C, Zhu S, Yuan XC. Tight focusing of quasi-cylindrically polarized beams. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2014; 31:373-378. [PMID: 24562036 DOI: 10.1364/josaa.31.000373] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Based on vectorial diffraction theory, tight focusing properties of quasi-cylindrical polarized beams (QCPBs) composed of equal fan-shaped sectors with linear polarization are investigated. We find that, for quasi-radially polarized illumination, a weak azimuthal component emerges and the circular symmetry of focus is traded in when the total number of sector N is small, but when N≥8 it is approaching that of a perfect radially polarized beam with a deviation smaller than 5.3% and a ratio of maximum total intensity larger than 95.5%. Meanwhile, for quasi-azimuthal polarized illumination, although weak radial and longitudinal components emerge, it is also close to that of the perfect azimuthally polarized beam when N≥8 with deviation smaller than 5.3% and a ratio larger than 95.0%. These results not only reveal a deep understanding of the focusing properties of QCPBs, but also provide an important contribution toward optimization of the monolithic methods for generating vector beams.
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Guo H, Sui G, Weng X, Dong X, Hu Q, Zhuang S. Control of the multifocal properties of composite vector beams in tightly focusing systems. OPTICS EXPRESS 2011; 19:24067-24077. [PMID: 22109432 DOI: 10.1364/oe.19.024067] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The numbers of the focal spots and the dominant field (i.e., whether the axial field or the transverse fields play dominant role in the focusing field) have significant effects on various applications. In this paper, we have derived the universal imaging model of the composite vector beam (CVB) composed of two orthogonally linearly polarized beams with inhomogeneous polarization modulation, which is also suitable for various polarized beams, such as linearly, circularly, radially, azimuthally, and vortex polarized beams. Moreover, the sin&cos amplitude modulation with arbitrary orders and the pupil filters with cylindrical symmetry are also involved in this imaging model. On the basis of this imaging model, the regulars to control the focal numbers and the dominant field are drawn. For the various applications, some important conclusions and constructive advices are given.
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Affiliation(s)
- Hanming Guo
- Shanghai Key Laboratory of Modern Optics System, Institute of Optical-Electrical Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, China.
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