Twisted optical communications using orbital angular momentum

Angular momentum, a fundamental physical quantity, can be divided into spin angular momentum (SAM) and orbital angular momentum (OAM) in electromagnetic waves. Helically-phased or twisted light beams carrying OAM that exploit the spatial structure physical dimension of electromagnetic waves have benefited wide applications ranging from optical manipulation to quantum information processing. Using the two distinct properties of OAM, i.e., inherent orthogonality and unbounded states in principle, one can develop OAM modulation and OAM multiplexing techniques for twisted optical communications. OAM multiplexing is an alternative space-division multiplexing approach employing an orthogonal mode basis related to the spatial phase structure. In this paper, we review the recent progress in twisted optical communications using OAM in free space and fiber. The basic concept of momentum, angular momentum, SAM, OAM and OAM-carrying twisted optical communications, key techniques and devices of OAM generation/(de)multiplexing/detection, high-capacity spectrally-efficient free-space OAM links, fiber-based OAM links, and OAM processing functions are presented. Ultra-high spectral efficiency and petabit-scale freespace data links are achieved benefiting from OAM multiplexing. The key techniques and challenges of twisted optical communications are also discussed. Twisted optical communications using OAM are compatible with other existing physical dimensions such as frequency/wavelength, amplitude, phase, polarization and time, opening a possible way to facilitate continuous increase of the aggregate transmission capacity and spectral efficiency through N-dimensional multiplexing.

[1]  Jian Wang,et al.  Controllable all-fiber orbital angular momentum mode converter. , 2015, Optics letters.

[2]  L. Marrucci,et al.  Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. , 2006, Physical review letters.

[3]  J. Valentine,et al.  Dielectric meta-reflectarray for broadband linear polarization conversion and optical vortex generation. , 2014, Nano letters.

[4]  A. Willner,et al.  Octave-spanning supercontinuum generation of vortices in a As2S3 ring photonic crystal fiber , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).

[5]  Jian Wang,et al.  Demonstration of reconfigurable joint orbital angular momentum mode and space switching , 2016, Scientific reports.

[6]  Robert W Boyd,et al.  Near-perfect sorting of orbital angular momentum and angular position states of light. , 2012, Optics express.

[7]  Xiang Zhou,et al.  Multi-Level, Multi-Dimensional Coding for High-Speed and High-Spectral-Efficiency Optical Transmission , 2009, Journal of Lightwave Technology.

[8]  Nicolas K Fontaine,et al.  Demonstration of free space coherent optical communication using integrated silicon photonic orbital angular momentum devices. , 2012, Optics express.

[9]  Robert W. Boyd,et al.  Quantum Correlations in Optical Angle–Orbital Angular Momentum Variables , 2010, Science.

[10]  Yang Yue,et al.  Tunable orbital angular momentum mode filter based on optical geometric transformation. , 2014, Optics letters.

[11]  Shuang Zheng,et al.  Measuring Orbital Angular Momentum (OAM) States of Vortex Beams with Annular Gratings , 2017, Scientific Reports.

[12]  Jian Wang,et al.  All-fiber pre- and post-data exchange in km-scale fiber-based twisted lights multiplexing. , 2016, Optics letters.

[13]  A. Willner,et al.  Liquid-crystal-on-silicon-based optical add/drop multiplexer for orbital-angular-momentum-multiplexed optical links. , 2013, Optics letters.

[14]  Neda Cvijetic,et al.  SDM transmission of real-time 10GbE traffic using commercial SFP + transceivers over 0.5km elliptical-core few-mode fiber. , 2015, Optics express.

[15]  Daniel A. Nolan,et al.  Mode division multiplexing using an orbital angular momentum mode sorter and MIMO-DSP over a graded-index few-mode optical fibre , 2015, Scientific Reports.

[16]  H. D. L. Pires,et al.  Measurement of the orbital angular momentum spectrum of partially coherent beams. , 2010, Optics letters.

[17]  Peter J. Winzer,et al.  Making spatial multiplexing a reality , 2014, Nature Photonics.

[18]  A. Willner,et al.  100 Tbit/s free-space data link enabled by three-dimensional multiplexing of orbital angular momentum, polarization, and wavelength. , 2014, Optics letters.

[19]  Jeremy L O'Brien,et al.  Fast electrical switching of orbital angular momentum modes using ultra-compact integrated vortex emitters , 2014, Nature Communications.

[20]  Jian Wang,et al.  Fully degeneracy-lifted bow-tie elliptical ring-core multi-mode fiber. , 2018, Optics express.

[21]  S. M. Zhao,et al.  Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states. , 2012, Optics Express.

[22]  Songnian Fu,et al.  MDM transmission of CAP-16 signals over 1.1- km anti-bending trench-assisted elliptical-core few-mode fiber in passive optical networks. , 2017, Optics express.

[23]  L. Nelson,et al.  Space-division multiplexing in optical fibres , 2013, Nature Photonics.

[24]  Siyuan Yu,et al.  Integrated Compact Optical Vortex Beam Emitters , 2012, Science.

[25]  Jian Wang,et al.  Demonstration of hybrid orbital angular momentum multiplexing and time-division multiplexing passive optical network. , 2015, Optics express.

[26]  Ivan B Djordjevic,et al.  LDPC-coded orbital angular momentum (OAM) modulation for free-space optical communication. , 2010, Optics express.

[27]  N Wada,et al.  Demonstration of spatial mode division multiplexing using Laguerre-Gaussian mode beam in telecom-wavelength , 2010, 2010 IEEE Photinic Society's 23rd Annual Meeting.

[28]  Robert W Boyd,et al.  Influence of atmospheric turbulence on states of light carrying orbital angular momentum. , 2012, Optics letters.

[29]  E. Ip,et al.  High Capacity/Spectral Efficiency 101.7-Tb/s WDM Transmission Using PDM-128QAM-OFDM Over 165-km SSMF Within C- and L-Bands , 2012, Journal of Lightwave Technology.

[30]  N. Yu,et al.  Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction , 2011, Science.

[31]  Jian Wang,et al.  Compensation of a distorted N-fold orbital angular momentum multicasting link using adaptive optics. , 2016, Optics letters.

[32]  Jianjun Yu,et al.  Ultrahigh-capacity access network architecture for mobile data backhaul using integrated W-band wireless and free-space optical links with OAM multiplexing. , 2014, Optics letters.

[33]  Jian Wang,et al.  Chip-scale optical vortex lattice generator on a silicon platform. , 2017, Optics letters.

[34]  Jian Wang,et al.  Performance evaluation of analog signal transmission in an integrated optical vortex emitter to 3.6-km few-mode fiber system. , 2016, Optics letters.

[35]  Jian Wang,et al.  Polarization-insensitive PAM-4-carrying free-space orbital angular momentum (OAM) communications. , 2016, Optics express.

[36]  Peter J. Winzer,et al.  MIMO capacities and outage probabilities in spatially multiplexed optical transport systems. , 2011, Optics express.

[37]  Jian Wang,et al.  Demonstration of 20-Gbit/s high-speed Bessel beam encoding/decoding link with adaptive turbulence compensation. , 2016, Optics letters.

[38]  Jian Wang,et al.  Metasurfaces enabling structured light manipulation: advances and perspectives [Invited] , 2018 .

[39]  Jian Wang,et al.  Design of PANDA-type elliptical-core multimode fiber supporting 24 fully lifted eigenmodes. , 2018, Optics letters.

[40]  Peter J. Winzer,et al.  Spatial Multiplexing in Fiber Optics: The 10X Scaling of Metro/Core Capacities , 2014, Bell Labs Tech. J..

[41]  A. Willner,et al.  Adaptive optics compensation of multiple orbital angular momentum beams propagating through emulated atmospheric turbulence. , 2014, Optics letters.

[42]  Jonathan Leach,et al.  Direct measurement of a 27-dimensional orbital-angular-momentum state vector , 2013, Nature Communications.

[43]  M. Magarini,et al.  Spectrally Efficient Long-Haul Optical Networking Using 112-Gb/s Polarization-Multiplexed 16-QAM , 2010, Journal of Lightwave Technology.

[44]  Andrew Forbes,et al.  Creation and detection of optical modes with spatial light modulators , 2016 .

[45]  Federico Capasso,et al.  Holographic detection of the orbital angular momentum of light with plasmonic photodiodes , 2012, Nature Communications.

[46]  Andong Wang,et al.  18  km low-crosstalk OAM + WDM transmission with 224 individual channels enabled by a ring-core fiber with large high-order mode group separation. , 2018, Optics letters.

[47]  Siyuan Yu,et al.  Scalable mode division multiplexed transmission over a 10-km ring-core fiber using high-order orbital angular momentum modes. , 2018, Optics express.

[48]  Jian Wang,et al.  Design of On-Chip N-Fold Orbital Angular Momentum Multicasting Using V-Shaped Antenna Array , 2015, Scientific Reports.

[49]  M. Padgett,et al.  Advances in optical angular momentum , 2008 .

[50]  Guifang Li,et al.  Space-division multiplexing: the next frontier in optical communication , 2014 .

[51]  Nicolas K Fontaine,et al.  Free-space coherent optical communication with orbital angular, momentum multiplexing/demultiplexing using a hybrid 3D photonic integrated circuit. , 2014, Optics express.

[52]  Johannes Courtial,et al.  Light’s Orbital Angular Momentum , 2004 .

[53]  Changyuan Yu,et al.  Massive individual orbital angular momentum channels for multiplexing enabled by Dammann gratings , 2015, Light: Science & Applications.

[54]  Jian Wang,et al.  Orbital angular momentum mode multiplexed transmission in heterogeneous few-mode and multi-mode fiber network. , 2018, Optics letters.

[55]  Jian Wang,et al.  On-chip orbital angular momentum modes generator and (de)multiplexer based on trench silicon waveguides. , 2017, Optics express.

[56]  A. Willner,et al.  Terabit-Scale Orbital Angular Momentum Mode Division Multiplexing in Fibers , 2013, Science.

[57]  Jian Wang,et al.  Encoding/decoding using superpositions of spatial modes for image transfer in km-scale few-mode fiber. , 2016, Optics express.

[58]  H. Then,et al.  Utilization of photon orbital angular momentum in the low-frequency radio domain. , 2007, Physical review letters.

[59]  B. Thid'e,et al.  Encoding many channels on the same frequency through radio vorticity: first experimental test , 2011, 1107.2348.

[60]  Charalambos Klitis,et al.  Direct fiber vector eigenmode multiplexing transmission seeded by integrated optical vortex emitters , 2017, Light: Science & Applications.

[61]  Yang Yue,et al.  Multicasting in a spatial division multiplexing system based on optical orbital angular momentum. , 2013, Optics letters.

[62]  Jian Wang,et al.  Full-duplex bidirectional data transmission link using twisted lights multiplexing over 1.1-km orbital angular momentum fiber , 2016, Scientific Reports.

[63]  Jason Geng,et al.  Structured-light 3D surface imaging: a tutorial , 2011 .

[64]  S. Barnett,et al.  Measuring the orbital angular momentum of a single photon. , 2002, Physical review letters.

[65]  P. Schattschneider,et al.  Production and application of electron vortex beams , 2010, Nature.

[66]  Jian Wang,et al.  Metasurface-assisted orbital angular momentum carrying Bessel-Gaussian Laser: proposal and simulation , 2018, Scientific Reports.

[67]  M. Padgett,et al.  Orbital angular momentum: origins, behavior and applications , 2011 .

[68]  A. Willner,et al.  4 × 20  Gbit/s mode division multiplexing over free space using vector modes and a q-plate mode (de)multiplexer. , 2014, Optics letters.

[69]  Q. Zhan.  Cylindrical vector beams: from mathematical concepts to applications , 2009 .

[70]  A. Willner,et al.  Atmospheric turbulence compensation in orbital angular momentum communications: Advances and perspectives , 2018 .

[71]  Jian Wang,et al.  Demonstration of polarization-insensitive spatial light modulation using a single polarization-sensitive spatial light modulator , 2015, Scientific Reports.

[72]  T. Kawanishi,et al.  Space Division Multiplexed Transmission of 109-Tb/s Data Signals Using Homogeneous Seven-Core Fiber , 2012, Journal of Lightwave Technology.

[73]  Jian Wang,et al.  A Compact Trench-Assisted Multi-Orbital-Angular-Momentum Multi-Ring Fiber for Ultrahigh-Density Space-Division Multiplexing (19 Rings × 22 Modes) , 2014, Scientific Reports.

[74]  A. E. Willner,et al.  Mode Properties and Propagation Effects of Optical Orbital Angular Momentum (OAM) Modes in a Ring Fiber , 2012, IEEE Photonics Journal.

[75]  S. Barnett,et al.  Free-space information transfer using light beams carrying orbital angular momentum. , 2004, Optics express.

[76]  Siyuan Yu,et al.  Orbital angular momentum modes emission from a silicon photonic integrated device for km-scale data-carrying fiber transmission. , 2018, Optics express.

[77]  Jian Wang,et al.  Directly using 8.8-km conventional multi-mode fiber for 6-mode orbital angular momentum multiplexing transmission. , 2018, Optics express.

[78]  Yang Yue,et al.  Efficient generation and multiplexing of optical orbital angular momentum modes in a ring fiber by using multiple coherent inputs. , 2012, Optics letters.

[79]  Sophie LaRochelle,et al.  Design, fabrication and validation of an OAM fiber supporting 36 states. , 2014, Optics express.

[80]  Electromagnetic Force and Momentum , 2016, 1612.06478.

[81]  Keith Miller,et al.  Multi-gigabit/s underwater optical communication link using orbital angular momentum multiplexing. , 2016, Optics express.

[82]  Jian Wang,et al.  Demonstration of km-scale orbital angular momentum multiplexing transmission using 4-level pulse-amplitude modulation signals. , 2017, Optics letters.

[83]  Jian Wang,et al.  Fiber coupler for generating orbital angular momentum modes. , 2011, Optics letters.

[84]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[85]  Miles J. Padgett,et al.  Tweezers with a twist , 2011 .

[86]  William Shieh,et al.  N-dimentional multiplexing link with 1.036-Pbit/s transmission capacity and 112.6-bit/s/Hz spectral efficiency using OFDM-8QAM signals over 368 WDM pol-muxed 26 OAM modes , 2014, 2014 The European Conference on Optical Communication (ECOC).

[87]  J. P. Woerdman,et al.  Astigmatic laser mode converters and transfer of orbital angular momentum , 1993 .

[88]  Edwin Yue-Bun Pun,et al.  Spin-enabled plasmonic metasurfaces for manipulating orbital angular momentum of light. , 2013, Nano letters.

[89]  Jian Wang,et al.  Adaptive free-space optical communications through turbulence using self-healing Bessel beams , 2017, Scientific Reports.

[90]  Jian Wang,et al.  Data information transfer using complex optical fields: a review and perspective (Invited Paper) , 2017 .

[91]  Robert Fickler,et al.  Interface between path and orbital angular momentum entanglement for high-dimensional photonic quantum information , 2014, Nature Communications.

[92]  Yang Yue,et al.  Reconfigurable switching of orbital-angular-momentum-based free-space data channels. , 2013, Optics letters.

[93]  Liang Fang,et al.  All-fiber polarization beam splitting and rotating based on vector-mode-assisted coupling. , 2018, Optics express.

[94]  Andrew Forbes,et al.  Efficient sorting of Bessel beams. , 2013, Optics express.

[95]  Nan Zhou,et al.  Generating and synthesizing ultrabroadband twisted light using a compact silicon chip. , 2018, Optics letters.

[96]  W Sibbett,et al.  Controlled Rotation of Optically Trapped Microscopic Particles , 2001, Science.

[97]  Li Yang,et al.  Conversion of orbital angular momentum of light in chiral fiber gratings. , 2013, Optics letters.

[98]  Tomáš Čižmár,et al.  Shaping the future of manipulation , 2011 .

[99]  J. Xu,et al.  Performance evaluation of underwater optical communications using spatial modes subjected to bubbles and obstructions. , 2017, Optics letters.

[100]  A. Gnauck,et al.  Mode-Division Multiplexing Over 96 km of Few-Mode Fiber Using Coherent 6 $\,\times\,$6 MIMO Processing , 2012, Journal of Lightwave Technology.

[101]  Jian Wang,et al.  Adaptive power-controllable orbital angular momentum (OAM) multicasting , 2015, Scientific Reports.

[102]  Jian Wang,et al.  Multi-Orbital-Angular-Momentum Multi-Ring Fiber for High-Density Space-Division Multiplexing , 2013, IEEE Photonics Journal.

[103]  Naoya Wada,et al.  High-capacity self-homodyne PDM-WDM-SDM transmission in a 19-core fiber. , 2014, Optics express.

[104]  M. Padgett,et al.  The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate , 1996 .

[105]  David J. Richardson,et al.  Low-Loss 25.3 km Few-Mode Ring-Core Fiber for Mode-Division Multiplexed Transmission , 2016, Journal of Lightwave Technology.

[106]  Nicholas M. Elias.  Photon orbital angular momentum in astronomy , 2008 .

[107]  A. E. Willner,et al.  Optical communications using light beams carrying orbital angular momentum , 2012, 2012 Conference on Lasers and Electro-Optics (CLEO).

[108]  Andrei Faraon,et al.  Orbital Angular Momentum-based Space Division Multiplexing for High-capacity Underwater Optical Communications , 2016, Scientific Reports.

[109]  A. Zeilinger,et al.  Communication with spatially modulated light through turbulent air across Vienna , 2014, 1402.2602.

[110]  T. Yatagai,et al.  Direct generation of high power Laguerre-Gaussian output from a diode-pumped Nd:YVO(4) 1.3-mum bounce laser. , 2007, Optics express.

[111]  Jian Wang,et al.  Simultaneous generation of multiple orbital angular momentum (OAM) modes using a single phase-only element. , 2015, Optics express.

[112]  Jian Wang,et al.  Sharing a Common Origin Between the Rotational and Linear Doppler Effects , 2017, 1912.01409.

[113]  S. Barnett,et al.  Detection of a Spinning Object Using Light’s Orbital Angular Momentum , 2013, Science.

[114]  B. Shi,et al.  Orbital angular momentum light frequency conversion and interference with quasi-phase matching crystals. , 2014, Optics express.

[115]  I. McNulty,et al.  Proposal for generating brilliant x-ray beams carrying orbital angular momentum. , 2008, Physical review letters.

[116]  Jian Wang,et al.  High-base vector beam encoding/decoding for visible-light communications. , 2015, Optics letters.

[117]  M. Nakazawa,et al.  2048 QAM (66 Gbit/s) single-carrier coherent optical transmission over 150 km with a potential SE of 15.3 bit/s/Hz , 2014, OFC 2014.

[118]  Jian Wang,et al.  Theoretical analyses on orbital angular momentum modes in conventional graded-index multimode fibre , 2017, Scientific Reports.

[119]  Jian Wang,et al.  Metamaterials-based broadband generation of orbital angular momentum carrying vector beams. , 2013, Optics letters.

[120]  A. Vaziri,et al.  Entanglement of the orbital angular momentum states of photons , 2001, Nature.

[121]  Liang Fang,et al.  All-fiber polarization-manageable directional couplers , 2019, 1912.02020.

[122]  Aniceto Belmonte,et al.  Digital coherent receiver for orbital angular momentum demultiplexing. , 2013, Optics letters.

[123]  Jing Xu,et al.  Adaptive water-air-water data information transfer using orbital angular momentum. , 2018, Optics express.

[124]  Jian Wang,et al.  Characterization of LDPC-coded orbital angular momentum modes transmission and multiplexing over a 50-km fiber. , 2016, Optics express.

[125]  Ivan B Djordjevic,et al.  Deep-space and near-Earth optical communications by coded orbital angular momentum (OAM) modulation. , 2011, Optics express.

[126]  P. Sillard,et al.  Few-Mode Fibers for Mode-Division-Multiplexed Systems , 2014, Journal of Lightwave Technology.

[127]  Liang Fang,et al.  Flexible generation/conversion/exchange of fiber-guided orbital angular momentum modes using helical gratings. , 2015, Optics letters.

[128]  Jian Wang,et al.  Demonstration of data-carrying orbital angular momentum-based underwater wireless optical multicasting link , 2017 .

[129]  A. Willner,et al.  High-capacity millimetre-wave communications with orbital angular momentum multiplexing , 2014, Nature Communications.

[130]  Chun-qing Gao,et al.  Measuring orbital angular momentum of helical beams by spatially variable retardation plates , 2012 .

[131]  A. Willner,et al.  Optical communications using orbital angular momentum beams , 2015 .

[132]  Jian Wang,et al.  Demonstration of obstruction-free data-carrying N-fold Bessel modes multicasting from a single Gaussian mode. , 2015, Optics letters.

[133]  Robert W Boyd,et al.  Rapid generation of light beams carrying orbital angular momentum. , 2013, Optics express.

[134]  Jian Wang,et al.  Simultaneous demultiplexing and steering of multiple orbital angular momentum modes , 2015, Scientific Reports.

[135]  N. Treps,et al.  Efficient and mode selective spatial mode multiplexer based on multi-plane light conversion , 2014, 2014 IEEE Photonics Conference.

[136]  M. Neifeld,et al.  Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link. , 2008, Applied optics.

[137]  Jian Wang,et al.  Feedback-enabled adaptive underwater twisted light transmission link utilizing the reflection at the air-water interface. , 2018, Optics express.

[138]  Jabez J. McClelland,et al.  Electron Vortex Beams with High Quanta of Orbital Angular Momentum , 2011, Science.

[139]  M J Padgett,et al.  Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. , 1997, Optics letters.

[140]  Jian Wang,et al.  Orbital angular momentum mode groups multiplexing transmission over 2.6-km conventional multi-mode fiber. , 2017, Optics express.

[141]  Jian Wang,et al.  A Different Angle on Light Communications , 2012, Science.

[142]  Jian Wang,et al.  Supermode fiber for orbital angular momentum (OAM) transmission. , 2015, Optics express.

[143]  Ebrahim Karimi,et al.  Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications , 2011 .

[144]  Siyuan Yu,et al.  Orbital-angular-momentum mode-group multiplexed transmission over a graded-index ring-core fiber based on receive diversity and maximal ratio combining. , 2017, Optics express.

[145]  Takashige Omatsu,et al.  An intracavity, frequency-doubled self-Raman vortex laser. , 2014, Optics express.

[146]  L. Molle,et al.  Transmission of Single-Channel 16-QAM Data Signals at Terabaud Symbol Rates , 2012, Journal of Lightwave Technology.

[147]  Masataka Nakazawa,et al.  1024 QAM (60 Gbit/s) single-carrier coherent optical transmission over 150 km. , 2012, Optics express.

[148]  Jian Wang,et al.  Ultra-high 435-bit/s/Hz spectral efficiency using N-dimentional multiplexing and modulation link with pol-muxed 52 orbital angular momentum (OAM) modes carrying Nyquist 32-QAM signals , 2015, 2015 European Conference on Optical Communication (ECOC).

[149]  Jian Wang,et al.  Experimental demonstration of optical interconnects exploiting orbital angular momentum array. , 2017, Optics express.

[150]  A. Willner,et al.  Terabit free-space data transmission employing orbital angular momentum multiplexing , 2012, Nature Photonics.

[151]  Yang Yue,et al.  2 Tbit/s free-space data transmission on two orthogonal orbital-angular-momentum beams each carrying 25 WDM channels. , 2012, Optics letters.

[152]  L A Rusch,et al.  Few-mode fiber with inverse-parabolic graded-index profile for transmission of OAM-carrying modes. , 2014, Optics express.

[153]  Marco W. Beijersbergen,et al.  Helical-wavefront laser beams produced with a spiral phaseplate , 1994 .

[154]  Miles J Padgett,et al.  Orbital angular momentum 25 years on [Invited]. , 2017, Optics express.

[155]  M. Lavery,et al.  Efficient sorting of orbital angular momentum states of light. , 2010, Physical review letters.

[156]  Miles Padgett,et al.  Light's twist , 2014, 2015 IEEE Photonics Conference (IPC).

[157]  Akira Tonomura,et al.  Generation of electron beams carrying orbital angular momentum , 2010, Nature.

[158]  C. Paterson,et al.  Atmospheric turbulence and orbital angular momentum of single photons for optical communication. , 2005, Physical review letters.

[159]  Robert W Boyd,et al.  Efficient separation of the orbital angular momentum eigenstates of light , 2013, Nature Communications.

[160]  Siddharth Ramachandran,et al.  Generation and propagation of radially polarized beams in optical fibers. , 2009, Optics letters.

[161]  T. Bourouina,et al.  Pure angular momentum generator using a ring resonator. , 2010, Optics express.

[162]  Jing Du,et al.  High-dimensional structured light coding/decoding for free-space optical communications free of obstructions. , 2015, Optics letters.

[163]  Yang Yue,et al.  Orbital Angular Momentum (OAM) based Mode Division Multiplexing (MDM) over a Km-length Fiber , 2012 .

[164]  S. Bernet,et al.  What spatial light modulators can do for optical microscopy , 2011 .

[165]  Jian Wang,et al.  Generating structured light with phase helix and intensity helix using reflection-enhanced plasmonic metasurface at 2 μm , 2018 .

[166]  J. P. Woerdman,et al.  Production and characterization of spiral phase plates for optical wavelengths. , 2004, Applied optics.

[167]  Jie Zhou,et al.  Mimicking Faraday rotation to sort the orbital angular momentum of light. , 2014, Physical review letters.

[168]  Yang Yue,et al.  Multimode Communications Using Orbital Angular Momentum , 2013 .

[169]  S. Barnett,et al.  Spatially structured photons that travel in free space slower than the speed of light , 2014, Science.

[170]  Jian Wang,et al.  Dielectric metasurfaces enabling twisted light generation/detection/(de)multiplexing for data information transfer. , 2018, Optics express.

[171]  Natalia M. Litchinitser,et al.  Orbital angular momentum microlaser , 2016, Science.

[172]  S. Ramachandran,et al.  Conservation of orbital angular momentum in air core optical fibers , 2014 .

[173]  A. Zeilinger,et al.  Twisted light transmission over 143 km , 2016, Proceedings of the National Academy of Sciences.

[174]  Andrew G. White,et al.  Generation of optical phase singularities by computer-generated holograms. , 1992, Optics letters.

[175]  Ebrahim Karimi,et al.  Generating optical orbital angular momentum at visible wavelengths using a plasmonic metasurface , 2014, Light: Science & Applications.

[176]  Jian Wang,et al.  Advances in communications using optical vortices , 2016 .

[177]  Jian Wang,et al.  Arbitrary manipulation of spatial amplitude and phase using phase-only spatial light modulators , 2014, Scientific Reports.

[178]  Xue Feng,et al.  Encoding and decoding of orbital angular momentum for wireless optical interconnects on chip. , 2012, Optics express.

[179]  Mark R. Dennis,et al.  Isolated optical vortex knots , 2010 .

[180]  Jian Wang,et al.  Fiber structure to convert a Gaussian beam to higher-order optical orbital angular momentum modes. , 2012, Optics letters.

[181]  G. K. L. Wong,et al.  Excitation of Orbital Angular Momentum Resonances in Helically Twisted Photonic Crystal Fiber , 2012, Science.

[182]  Alexander Jesacher,et al.  Quantitative imaging of complex samples by spiral phase contrast microscopy. , 2006, Optics express.