Citation: | Yi Z Y, Li Y, Liang H K, et al. Design of an orbital angular momentum demultiplexing system based on off-axis cascaded metasurfaces[J]. Opto-Electron Eng, 2024, 51(8): 240161. doi: 10.12086/oee.2024.240161 |
[1] | García-Escartín J C, Chamorro-Posada P. Quantum multiplexing with the orbital angular momentum of light[J]. Phys Rev A, 2008, 78(6): 062320. doi: 10.1103/PhysRevA.78.062320 |
[2] | Yan Y, Xie G D, Lavery M P J, et al. High-capacity millimetre-wave communications with orbital angular momentum multiplexing[J]. Nat Commun, 2014, 5: 4876. doi: 10.1038/ncomms5876 |
[3] | Willner A E, Huang H, Yan Y, et al. Optical communications using orbital angular momentum beams[J]. Adv Opt Photonics, 2015, 7(1): 66−106. doi: 10.1364/AOP.7.000066 |
[4] | Yuan X Y, Xu Q, Lang Y H, et al. Tailoring spatiotemporal dynamics of plasmonic vortices[J]. Opto-Electron Adv, 2023, 6(4): 220133. doi: 10.29026/oea.2023.220133 |
[5] | Allen L, Beijersbergen M W, Spreeuw R J C, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Phys Rev A, 1992, 45(11): 8185−8189. doi: 10.1103/PhysRevA.45.8185 |
[6] | Allen L, Padgett M J, Babiker M. IV the orbital angular momentum of light[J]. Prog Opt, 1999, 39: 291−372. doi: 10.1016/S0079-6638(08)70391-3 |
[7] | Pendry J B, Schurig D, Smith D R. Controlling electromagnetic fields[J]. Science, 2006, 312(5781): 1780−1782. doi: 10.1126/science.1125907 |
[8] | Yu N F, Capasso F. Flat optics with designer metasurfaces[J]. Nat Mater, 2014, 13(2): 139−150. doi: 10.1038/nmat3839 |
[9] | Luo X G, Pu M B, Ma X L, et al. Taming the electromagnetic boundaries via metasurfaces: from theory and fabrication to functional devices[J]. Int J Antennas Propag, 2015, 2015: 204127. doi: 10.1155/2015/204127 |
[10] | 张飞, 郭迎辉, 蒲明博, 等. 基于非对称光子自旋—轨道相互作用的超构表面[J]. 光电工程, 2020, 47(10): 200366. doi: 10.12086/oee.2020.200366 Zhang F, Guo Y H, Pu M B, et al. Metasurfaces enabled by asymmetric photonic spin-orbit interactions[J]. Opto-Electron Eng, 2020, 47(10): 200366. doi: 10.12086/oee.2020.200366 |
[11] | Yu N F, Genevet P, Kats M A, et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction[J]. Science, 2011, 334(6054): 333−337. doi: 10.1126/science.1210713 |
[12] | Li Y, Li X, Chen L W, et al. Orbital angular momentum multiplexing and demultiplexing by a single metasurface[J]. Adv Opt Mater, 2017, 5(2): 1600502. doi: 10.1002/adom.201600502 |
[13] | Berkhout G C G, Lavery M P J, Courtial J, et al. Efficient sorting of orbital angular momentum states of light[J]. Phys Rev Lett, 2010, 105(15): 153601. doi: 10.1103/PhysRevLett.105.153601 |
[14] | Lavery M P J, Robertson D J, Berkhout G C G, et al. Refractive elements for the measurement of the orbital angular momentum of a single photon[J]. Opt Express, 2012, 20(3): 2110−2115. doi: 10.1364/OE.20.002110 |
[15] | Ruffato G, Massari M, Parisi G, et al. Test of mode-division multiplexing and demultiplexing in free-space with diffractive transformation optics[J]. Opt Express, 2017, 25(7): 7859−7868. doi: 10.1364/OE.25.007859 |
[16] | Ruffato G, Massari M, Romanato F. Compact sorting of optical vortices by means of diffractive transformation optics[J]. Opt Lett, 2017, 42(3): 551−554. doi: 10.1364/OL.42.000551 |
[17] | Ruffato G, Girardi M, Massari M, et al. A compact diffractive sorter for high-resolution demultiplexing of orbital angular momentum beams[J]. Sci Rep, 2018, 8(1): 10248. doi: 10.1038/s41598-018-28447-1 |
[18] | Ruffato G, Capaldo P, Massari M, et al. Total angular momentum sorting in the telecom infrared with silicon Pancharatnam-Berry transformation optics[J]. Opt Express, 2019, 27(11): 15750−15764. doi: 10.1364/OE.27.015750 |
[19] | Ruffato G, Massari M, Girardi M, et al. Non-paraxial design and fabrication of a compact OAM sorter in the telecom infrared[J]. Opt Express, 2019, 27(17): 24123−24134. doi: 10.1364/OE.27.024123 |
[20] | Cheng J P, Sha X B, Zhang H, et al. Ultracompact orbital angular momentum sorter on a CMOS chip[J]. Nano Lett, 2022, 22(10): 3993−3999. doi: 10.1021/acs.nanolett.2c00572 |
[21] | Wang B M, Wen Y H, Zhu J B, et al. Sorting full angular momentum states with Pancharatnam-Berry metasurfaces based on spiral transformation[J]. Opt Express, 2020, 28(11): 16342−16351. doi: 10.1364/OE.393859 |
[22] | Li Y, Hong M H. Diffractive efficiency optimization in metasurface design via electromagnetic coupling compensation[J]. Materials (Basel), 2019, 12(7): 1005. doi: 10.3390/ma12071005 |
[23] | Yang Z Y, Wang Z K, Wang Y X, et al. Generalized Hartmann-Shack array of dielectric metalens sub-arrays for polarimetric beam profiling[J]. Nat Commun, 2018, 9(1): 4607. doi: 10.1038/s41467-018-07056-6 |
[24] | Chen R, Zhou Y, Chen W J, et al. Multifunctional metasurface: coplanar embedded design for metalens and nanoprinted display[J]. ACS Photonics, 2020, 7(5): 1171−1177. doi: 10.1021/acsphotonics.9b01795 |
[25] | Fan Y L, Xu Y K, Qiu M, et al. Phase-controlled metasurface design via optimized genetic algorithm[J]. Nanophotonics, 2020, 9(12): 3931−3939. doi: 10.1515/nanoph-2020-0132 |
[26] | Huang M, Zheng B, Cai T, et al. Machine–learning-enabled metasurface for direction of arrival estimation[J]. Nanophotonics, 2022, 11(9): 2001−2010. doi: 10.1515/nanoph-2021-0663 |
[27] | Ji W Y, Chang J, Xu H X, et al. Recent advances in metasurface design and quantum optics applications with machine learning, physics-informed neural networks, and topology optimization methods[J]. Light Sci Appl, 2023, 12(1): 169. doi: 10.1038/s41377-023-01218-y |
[28] | Xu M F, Pu M B, Sang D, et al. Topology-optimized catenary-like metasurface for wide-angle and high-efficiency deflection: from a discrete to continuous geometric phase[J]. Opt Express, 2021, 29(7): 10181−10191. doi: 10.1364/OE.422112 |
[29] | Nishijima Y, Balčytis A, Naganuma S, et al. Kirchhoff’s metasurfaces towards efficient photo-thermal energy conversion[J]. Sci Rep, 2019, 9(1): 8284. doi: 10.1038/s41598-019-44781-4 |
[30] | Xu Z J, Dong Y, Tseng C K, et al. CMOS-compatible all-Si metasurface polarizing bandpass filters on 12-inch wafers[J]. Opt Express, 2019, 27(18): 26060−26069. doi: 10.1364/OE.27.026060 |
[31] | Meng W J, Hua Y L, Cheng K, et al. 100 Hertz frame-rate switching three-dimensional orbital angular momentum multiplexing holography via cross convolution[J]. Opto-Electron Sci, 2022, 1(9): 220004. doi: 10.29026/oes.2022.220004 |
[32] | Zheng G X, Mühlenbernd H, Kenney M, et al. Metasurface holograms reaching 80% efficiency[J]. Nat Nanotechnol, 2015, 10(4): 308−312. doi: 10.1038/nnano.2015.2 |
[33] | Pancharatnam S. Generalized theory of interference, and its applications: part I. Coherent pencils[J]. Proc Indian Acad Sci-Sec A, 1956, 44(5): 247−262. doi: 10.1007/BF03046050 |
[34] | Berry M V, Dennis M R. Polarization singularities in isotropic random vector waves[J]. Proc R Soc Lond A Math Phys Sci, 2001, 457(2005): 141−155. doi: 10.1098/rspa.2000.0660 |
[35] | Li S Q, Li X Y, Zhang L, et al. Efficient optical angular momentum manipulation for compact multiplexing and demultiplexing using a dielectric metasurface[J]. Adv Opt Mater, 2020, 8(8): 1901666. doi: 10.1002/adom.201901666 |
[36] | Mirhosseini M, Malik M, Shi Z M, et al. Efficient separation of the orbital angular momentum eigenstates of light[J]. Nat Commun, 2013, 4: 2781. doi: 10.1038/ncomms3781 |
[37] | Wen Y H, Chremmos I, Chen Y J, et al. Spiral transformation for high-resolution and efficient sorting of optical vortex modes[J]. Phys Rev Lett, 2018, 120(19): 193904. doi: 10.1103/PhysRevLett.120.193904 |
Optical orbital angular momentum (OAM) has garnered widespread attention in the fields of high-speed optical communication and quantum communication due to its characteristic of spatial orthogonality. The beam carrying OAM has a spiral phase structure exp(ilθ) in the spatial phase distribution, where the topological charge l can take any integer, which can theoretically provide an infinite number of channels, thus greatly enhancing the capacity of the communication system. As an array of miniature planar structures composed of sub-wavelength structures, the metasurface, with its unique planar structure and precise control of light waves, shows great application potential in promoting miniaturization and integration of space OAM communication systems. When designing metasurface systems, factors such as electromagnetic coupling between metasurface unit structures and insufficient processing precision can lead to the actual efficiency of the metasurface are much different from the theoretical design efficiency. This can often result in stray light due to insufficient modulation efficiency of the metasurface, and the influence of these stray light as background noise in the cascade metasurfaces system will be magnified step by step, affecting the system function. In order to improve the modulation efficiency of metasurface, researchers often use genetic algorithms, topology optimization, and machine learning to design more efficient metasurface structures or use higher precision machining processes to fabricate metasurface. However, these methods are often accompanied by complex computing processes and high manufacturing price costs, which largely limit the widespread use of metasurface in practical optical systems. To reduce the impact of metasurface with limited efficiency on system performance and to decrease the demand for fabricating high-efficiency metasurface structures in high signal-to-noise ratio metasurface systems, based on the coordinate transformation method proposed by Berkhout et al, this paper proposes a design method for an orbital angular momentum demultiplexing system based on off-axis cascaded metasurfaces. By introducing an off-axis design, this work effectively separates the stray light produced in cascaded metasurface systems due to reduced metasurface efficiency. Compared to traditional methods of improving system performance by optimizing the modulation efficiency of metasurface structure, the approach presented in this paper avoids complex structural optimization and the fabrication process of high-efficiency metasurfaces, while also significantly improving optical performance. This design method can be extended to the cascade of multi-level metasurfaces to solve the problem of limiting the number of layers of cascaded super-surfaces, which is of potential application value and significance for the miniaturization and integration of optical systems.
Schematic of (a) on-axis and (b) off-axis cascade metasurface OAM demultiplexing system
(a) Polarization conversion efficiency of a unitary structure as a function of wavelength; (b) Polarization conversion efficiency of a unitary structure as a function of off-angle
(a) Schematic of signal/noise in OAM demultiplexing system based on on-axis cascaded metasurface; (b) SNR of demultiplexing system as a function of polarization conversion efficiency
(a) Schematic of signal/noise in OAM demultiplexing system based on off-axis cascaded metasurface; (b) SNR of demultiplexing system as a function of polarization conversion efficiency and off-angle
(a) On-axis and (b) off-axis , intensity profiles corresponding to different OAM states (l = ±1, ±3); (c) Normalized noise intensities in the range of outgoing field for different OAM states (l = ±1, ±3) in on-axis and off-axis system