Recent progress on frequency conversion of orbital
angular momentum carrying light

doi:10.3969/j.issn.1007-5461.2022.01.002

Abstract

Abstract: Orbital angular momentum (OAM) is an important degree of freedom of light. As having unique phase and intensity distribution, OAM-carrying light has wide applications in high capacity optical communication, metrology, imaging, optical tweezers and quantum information processing. In one hand, frequency conversion with OAM-carrying light in nonlinear process shows new optical physics different from that of Gaussian beam. On the other hand, nonlinear optics offers various tool kits to manipulate different content of light, which can be used to generate specific light field for target applications. In this article, the main progress for frequency conversion of OAM-carrying light in quasi-phase matching nonlinear crystals is reviewed, including the conservation, propagation, evolution and interference of OAM-carrying light in frequency conversion, high efficiency nonlinear frequency conversion for OAMcarrying light, realization of frequencey conversion efficiency independent of the input signal modes, frequency conversion of vector vortex beam, and generation of high dimensional OAM entangled states without post selection based on pump beam engineering. Finally, some discussions and outlooks for future research trends in this field are put forward.

Key words: quantum optics, orbital angular momentum, quasi-phase matching, nonlinear frequency conversion, vector vortex beam

CLC Number:

O431.2

ZHOU Zhiyuan ∗ , SHI Baosen ∗. Recent progress on frequency conversion of orbital angular momentum carrying light[J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 32-49.

References

[1] Franken P A, Hill A E, Peters C W, et al.Generation of optical harmonics [J]. [J].Physical Review Letters, 1961, 7:118- [2]Alnis J, Gustafsson U, Somesfalean G, et al.Sum-frequency generation with a blue diode laser for mercury spectroscopy at 254 nm [J]. Applied Physics Letters, 2000, 76:1234. [3]Wang Z, Zhang J, Yang F, et al.Stable operation of 4 mW nanoseconds radiation at 177.3 nm by Second Harmonic Generation in KBe2BO3F2 Crystals [J]. Optics Express 17(22):20021-20032. [4]Li Y, Zhou Z Y, Ding D S, et al.Low-power-pumped high-efficiency frequency doubling at 397.5 nm in a ring cavity [J]. Chinese Optics Letters, 2014, 12: 111901. [5]Peng Y, Wang W, Wei X, et al.High-efficiency mid-infrared optical parametric oscillator based on PPMgO:CLN[J].Optics Letters, 2009, 34(19):2897-2899 [6]Kumar S C, and Ebrahim-Zadeh M.High-power,continuous-wave,mid-infrared optical parametric oscillator based on MgO:sPPLT[J].Optics Letters, 2011, 36(13):2578-2580 [7]Yang C, Liu S L, Zhou Z Y, et al.Extra-cavity-enhanced difference-frequency generation at 163 μm[J].Journal of the Optical Society of America B, 2020, 37(5):1367-1371 [8] Picqué? N and H?nsch T W.Frequency comb spectroscopy [J]. Nature Photonics 2019, 13:146-157. [9] Fortier T and Baumann E.20 years of developments in optical frequency comb technology and applications [J]. Communications Physics, (2019) 2:153. [10]Alfano R R.The Supercontinuum Laser Source [M]. New York: Springer, 2005. [11]Kwiat P G, Mattle K, Weinfurter H, et al.New high-intensity source of polarization-entangled photon pairs [J]. Physics Review Letters, 1995, 75(24), 4337–4341. [12]Li Y H, Zhou Z Y, Feng L T, et al.On-Chip Multiplexed Multiple Entanglement Sources in a Single Silicon Nanowire [J]. Physics Review Applied, 2017, 7: 064005. [13]Li Y, Zhou Z Y, Ding D S, et al.CW-pumped telecom band polarization entangled photon pair generation in a Sagnac interferometer [J]. Optics Express, 2015, 23:28792~28800. [14]Wang J, Paesani S, Ding Y, et al.Multidimensional quantum entanglement with large-scale integrated optics[J].Science, 2018, 360(6386):285-291 [15]Sala K, Kenney-Wallace G and Hall G.CW autocorrelation measurements of picosecond laser pulses [J] IEEE Journal of Quantum Electronics, 1980, 16( 9): 990-996. [16]Trebino R, DeLong K W, Fittinghoff D N, et al.Measuring ultrashort laser pulses in the time-frequency domain using frequency-resolved optical gating [J]. Review of Scientific Instruments, 1997, 68:3277. [17]Hoover E E, and Squier J A.Advances in multiphoton microscopy technology [J]. Nature Photonics, 2013, 7: 93–101. [18]Kumar P.Quantum frequency conversion[J]. Optics Letters, 1990, 15: 1476-1478. [19]Mancinelli M, Trenti A, Piccione S, et al.Mid-infrared coincidence measurements on twin photons at room temperature[J]. Nature Communications, 2017, 8:15184. [20]Zhou Z Y, Liu S L, Liu S K, et al.Superresolving Phase Measurement with Short-Wavelength NOON States by Quantum Frequency Up-Conversion [J]. Physics Review Applied, 2017, 7: 064025. [21]Forbes A, de Oliveira M and Dennis M R.Structured light [J]. Nature Photonics, 2021, 15: 253–262. [22]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].Physics Review A, 1992, 45(11):8185-8189 [23]Franke-Arnold S, Allen L, and Padgett M.Advances in optical angular momentum[J].Laser Photonics Review, 2008, 2(4):299-313 [24]Shen Y, Wang X, Xie Z, et al.Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities [J]. Light: Science & Applications, 2019, 8 :90. [25]Courtial J, and Padgett M J.Performance of a cylindrical lens mode converter for producing [J]. Optics Communications, 1999, 159: 13-18. [26]Maji S, Mandal A, And Brundavanam M M.Gouy phase-assisted topological transformation of vortex beams from fractional fork holograms[J].Optics letters, 2019, 44(9):2286-2289 [27] Marrucci L.The q-plate and its future [J]. Journal of Nanophotonics, 2013, 7: 078598. [28]Kotlyar V V, Almazov A A, Khonina S N, et al.Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate[J].Journal of the Optical Society of America A, 2005, 22(5):849-861 [29]Maurer C, Jesacher A, Bernet S, et al.What spatial light modulators can do for optical microscopy[J].Laser & Photonics Reviews, 2011, 5(1):81-101 [30]Cai X, Wang J, Strain M J, et al.Integrated Compact Optical Vortex Beam Emitters[J].Science, 2012, 338(6105):363-366 [31]Stav T, Faerman A, Maguid E, et al.Quantum entanglement of the spin and orbital angular momentum of photons using metamaterials[J].Science, 2018, 361(6407):1101-1104 [32]Zhang Z, Qiao X, Midya B, et al.Tunable topological charge vortex microlaser[J].Science, 2020, 368(6492):760-763 [33]Ficklera R, Campbelld G, Buchlerd B, et al.Quantum entanglement of angular momentum states with quantum numbers up to 10,010[J].PNAS, 2016, 113(48):13642-13647 [34] Liu M, Zhu W, Huo P, et al.Multifunctional metasurfaces enabled by simultaneous and independent control of phase and amplitude for orthogonal polarization states [J]. Light: Science & Applications, 2021, 10:107. [35] Naidoo D, .Roux F S, Dudley A, et al. Controlled generation of higher-order Poincaré sphere beams from a laser [J]. Nature Photonics, 2016, 10: 327–332. [36]Vickers J, Burch M, Vyas R, et al.Phase and interference properties of optical vortex beams[J].Journal of the Optical Society of America A, 2008, 25(3):823-827 [37] Leach J, Courtial J, Skeldon K, et al.Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon [J]. Physics Review Letters, 2004, 92: 013601. [38]Leach J, Padgett M J, Barnett S M, et al.Measuring the orbital angular momentum of a single photon [J]. Physics Review Letters, 2202. 88: 257901. [39] Zhang W, Qi Q, Zhou J et al.Mimicking Faraday rotation to sort the orbital angular momentum of light [J]. Physics Review Letters, 2014, 112: 153601. [40]Zhou Y, Mirhosseini M, Fu D, et al.Sorting Photons by Radial Quantum Number [J]. Physics Review Letters, 2017, 119: 263602. [41] Wei S, Earl S K, Lin J, et al.Active sorting of orbital angular momentum states of light with a cascaded tunable resonator [J]. Light: Science & Applications, 2020, 9 :10. [42]Li Y, Zhou Z Y, Ding D S, et al.Non-destructive splitter of twisted light based on modes splitting in a ring cavity[J].Optics Express, 2016, 24(3):2166-2173 [43]Berkhout G C G, Lavery M P J, Courtial J, et al.Efficient sorting of orbital angular momentum states of light[J] Physics Review Letters, 2010, 105:153601. [44] Mirhosseini M, Malik M, Shi Z, et al.Efficient separation of the orbital angular momentum eigenstates of light [J]. Nature Communications, 2013, 4: 2781. [45] Wen Y, Chremmos I, Chen Y, et al.Spiral Transformation for High-Resolution and Efficient Sorting of Optical Vortex Modes [J]. Physical Review Letters, 2018, 120:193904. [46]Nicolas A, Veissier L, Giacobino E, Maxein D, et al.Quantum state tomography of orbital angular momentum photonic qubits via a projection-based technique [J]. New Journal Physics, 2015, 17: 033037. [47]Schulze C, Dudley A, Brüning R, et al.Measurement of the orbital angular momentum density of Bessel beams by projection into a Laguerre–Gaussian basis[J].Applied Optics, 2014, 53(26):5924-5933 [48] Suprano A, Zia D, Polino E, et al.Enhanced detection techniques of orbital angular momentum states in the classical and quantum regimes [J]. New Journal Physics, 2021, 23 : 073014. [49] R.W. Boyd, Nonlinear Optics, Third Edition, New York (2007). [50]Armstrong J A, Bloembergen N, Ducuing J, et al.Interactions between light waves in a nonlinear dielectric [J]. Physics Review, 1962, 127:1918. [51] Fejer M M, Magel G A, Jundt D H, et al.Quasi-phase-matched second harmonic generation: tuning and tolerances [J]. IEEE Journal Quantum Electronics, 1992, 28: 2631. [52]Courtial J, Dholakia K, Allen L, et al.Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes[J].Physical Review A, 1997, 56(5):4193-4196 [53] Shao G H, Wu Z J, Chen J H, et al.Nonlinear frequency conversion of fields with orbital angular momentum using quasi-phase matching, Physics Review A, 2013, 88: 063827. [54] Zhou Z Y, Ding D S, Jiang Y K, et al.Orbital angular momentum light frequency conversion and interference with quasi-phase matching crystals [J]. Optics Express, 2014, 22: 20298~20310. [55]Li Y, Zhou Z Y, Ding D S, et al.Sum frequency generation with two orbital angular momentum carrying laser beams [J]. Journal Optical Society America B, 2015, 32: 407~411. [56] Li Y, Zhou Z Y, Ding D S, et al.Dynamic mode evolution and phase transition of twisted light in nonlinear process [J]. Journal of Modern Optics, 2016, 63: 2271~2278. [57]Ge Z, Zhou Z Y, Li Y, et al.Fourth-harmonic generation of orbital angular momentum light with cascaded quasi-phase matching crystals[J].Optics Letters, 2021, 46(2):158-161 [58]Fang X, Yang G, Wei D, et al.Coupled orbital angular momentum conversions in a quasi-periodically poled LiTaO3 crystal[J].Optics Letters, 2016, 41(6):1169-1172 [59]Wu Y, Ni R, Xu Z, et al.Tunable third harmonic generation of vortex beams in an optical superlattice[J].Optics Express, 2017, 25(25):30820-30826 [60]Fang X, Kuang Z, Chen P, et al.Examining second-harmonic generation of high-order Laguerre–Gaussian modes through a single cylindrical lens[J].Optics Letters, 2017, 42(21):4387-4390 [61]Tang R, Li X, Wu W, et al.High efficiency frequency upconversion of photons carrying orbital angular momentum for a quantum information interface[J].Optics Express, 2015, 23(8):9796-9802 [62]Yang C, Zhou Z Y, Li Y, et al.Nonlinear frequency conversion and manipulation of vector beams in a Sagnac loop[J].Optics Letters, 2019, 44(2):219-222 [63]Li H, Liu H, and Chen X.Nonlinear frequency conversion of vectorial optical fields with a Mach-Zehnder interferometer [J]. Applied Physics Letters, 2019, 114: 241901. [64] Wu H J, Zhou Z Y, Gao W, et al.Dynamic tomography of the spin-orbit coupling in nonlinear optics [J]. Physical Review A, 2019, 99: 023830. [65]Wu H J, Zhao B, Rosales-Guzmán C, et al.Spatial-Polarization-Independent Parametric Up-Conversion of Vectorially Structured Light [J]. Physical Review Applied, 2020, 13: 064041. [66]Ren Z C, Lou Y C, Cheng Z M, et al.Optical frequency conversion of light with maintaining polarization and orbital angular momentum [J]. Optics Letters, 46(10):2300-2303. [67]Liu H, Li H, Zheng Y, et al.Nonlinear frequency conversion and manipulation of vector beams[J].Optics Letters, 2018, 43(24):5981-5984 [68] Li H, Liu H, Yang Y, et al.Ultraviolet waveband vector beams generation assisted by the nonlinear frequency conversion [J]. Applied Physics Letters, 2021, 119: 011104. [69]Li H, Liu H, and Chen X.Dual waveband generator of perfect vector beams[J].Photonics Research, 2019, 7(11):1340-1344 [70]Zhou Z Y, Li Y, Ding D S, et al.Highly efficient second harmonic generation of a light carrying orbital angular momentum in an external cavity [J]. Optics Express, 2014, 22: 23673~23678. [71] Zhou Z Y, Li Y, Ding D S, et al.Orbital angular momentum photonic quantum interface [J]. Light: Science & Applications, 2016, 5: e16019. [72] Zhou Z Y, Liu S L, Li Y, et al.Orbital Angular Momentum-Entanglement Frequency Transducer [J]. Physics Review Letters, 2016, 117: 103601. [73]Liu S L, Liu S K, Li Y H, et al.Coherent frequency bridge between visible and telecommunications band for vortex light [J]. Optics Express, 2017, 25: 24290~24298. [74]Li Y, Zhou Z Y, Liu S L, et al.Frequency doubling of twisted light independent of the integer topological charge[J].OSA Continuum, 2019, 2(2):470-477 [75] Liu S, Yang C, Xu Z, et al.High-dimensional quantum frequency converter [J]. Physics Review A, 2020, 101:012339. [76]Dada A C, Leach J, Buller G S, et al.Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities [J]. Nature Physics, 2011, 7: 677. [77]Malik M, Erhard M, Huber M, et al.Multi-photon entanglement in high dimensions [J]. Nature Photonics, 2016, 10: 248. [78]Yao A M.Angular momentum decomposition of entangled photons with an arbitrary pump [J]. New Journal of Physics, 2011, 13: 053048. [79]Zhou Z Y, Li Y, Ding D S, et al.Classical to quantum optical network link for orbital angular momentum-carrying light[J].Optics Express, 2015, 23(14):18435-18444 [80]Liu S, Zhou Z, Liu S, et al.Coherent manipulation of a three-dimensional maximally entangled state [J]. Physical Review A, 2018, 98: 062316. [81]Kovlakov E V, Straupe S S, and Kulik S P.Quantum state engineering with twisted photons via adaptive shaping of the pump beam [J]. Physical Review A, 2018, 98, 060301(R). [82]Liu S, Zhang Y, Yang C, et al.Increasing two-photon entangled dimensions by shaping input-beam profiles [J]. Physical Review A, 2020, 101: 052324. [83]Chong A, Wan C, Chen J, et al.Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum [J]. Nature Photonics, 2020, 14:350–354. [84]Gui G, Brooks N J, Kapteyn H C, et al.Second-harmonic generation and the conservation of spatiotemporal orbital angular momentum of light [J]. Nature Photonics, 2021, 15: 608–613. [85]Tang Y, Li K, Zhang X, et al.Harmonic spin–orbit angular momentum cascade in nonlinear optical crystals [J]. Nature Photonics, 2020, 14: 658–662. [86]Chen P, Ma L L, Duan W, et al.Digitalizing Self-Assembled Chiral Superstructures for Optical Vortex Processing [J]. Advanced Materials, 2018, 30:1705865. [87]Qiu X, Li F, Liu H, et al.Optical vortex copier and regenerator in the Fourier domain[J].Photonics Research, 2018, 6(6):641-646 [88]Wei D, Guo J, Fang X, et al.Multiple generations of high-order orbital angular momentum modes through cascaded third-harmonic generation in a 2D nonlinear photonic crystal[J].Optics Express, 2017, 25(10):11556-11563 [89]Wei D, Wang C, Wang H, et al.Experimental demonstration of a three-dimensional lithium niobate nonlinear photonic crystal [J]. Nature Photonics, 2018, 12: 596–600. [90] Wei D, Wang C, Xu X, et al.Efficient nonlinear beam shaping in three-dimensional lithium niobate nonlinear photonic crystals [J]. Nature Communications, 2019, 10: 4193. [91] Chen P, Wang C, Wei D, et al.Quasi-phase-matching-division multiplexing holography in a three-dimensional nonlinear photonic crystal [J]. Light Science Applications, 2021, 10: 146. [92]Chen R, Ni R, Wu Y, et al.Phase-Matching Controlled Orbital Angular Momentum Conversion in Periodically Poled Crystals [J]. Physical Review Letters, 2020, 125:143901. [93]Hu X, Zhang Y, and Zhu S.Nonlinear Beam Shaping in Domain Engineered Ferroelectric Crystals [J]. Advanced Materials, 2020, 32: 1903775. [94]Sain B, Meier C, Zentgraf T.Nonlinear optics in all-dielectric nanoantennas and metasurfaces: a review[J].Advanced Photonics, 2019, 1(2):024002- [95]Rego L, Dorney K M, Brooks N J, et al.Generation of extreme-ultraviolet beams with time-varying orbital angular momentum [J]. Science, 2019, 364: 1253. [96]Gauthier D, Rebernik Ribic P, Adhikary G, et al.Tunable orbital angular momentum in high-harmonic generation [J]. Nature Communications, 2017, 8:1497. [97]Niu S, Wang S, Ababaike M, et al.Tunable near- and mid-infrared (1.36–1.63 μm and 3.07–4.81 μm) optical vortex laser source [J]. Laser Physics Letters, 2020, 17: 045402. [98]Aadhi A, Sharma V, Singh R P, et al.Continuous-wave,singly resonant parametric oscillator-based mid-infrared optical vortex source[J].Optics Letters, 2017, 42(18):3674-3677 [99]Araki S, Ando K, Miyamoto K, et al.Ultra-widely tunable mid-infrared (6–18 μm) optical vortex source[J].Applied Optics, 2018, 57(4):620-624

Recent progress on frequency conversion of orbital angular momentum carrying light

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