Abstract

We report on the generation of flower (wheel) modes, which manifest coupled orbital angular momentum (OAM) modes, from a vortex pumped optical parametric oscillator simply by employing a pump source with a short temporal coherence time. This vortex oscillator was also developed to generate a further higher-order vortex signal output with s=2–4 by replacement of the pump source with a longer coherence time. The signal and idler outputs were tuned within wavelength ranges of 745–955 nm and 1200–1855 nm, respectively. The maximum signal output energy of 1.2 mJ was measured with an optical efficiency of 15.6%.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2019 (2)

T. Omatsu, K. Miyamoto, K. Toyoda, R. Morita, Y. Arita, and K. Dholakia, “A New Twist for Materials Science : The Formation of Chiral Structures using The Angular Momentum of Light,” Adv. Opt. Mater. 7(14), 1801672 (2019).
[Crossref]

S. Syubaev, A. Zhizhchenko, O. Vitrikc, A. Porfirev, S. Fomchenkov, S. Khonina, S. Kudryashov, and A. Kuchmizhak, “Chirality of laser-printed plasmonic nanoneedles tunable by tailoring spiral-shape pulses,” Appl. Surf. Sci. 470(15), 526–534 (2019).
[Crossref]

2018 (4)

R. F. Offer, D. Stulga, E. Riis, S. Franke-Arnold, and A. S. Arnold, “Spiral bandwidth of four-wave mixing in Rb vapour,” Commun. Phys. 1(1), 84 (2018).
[Crossref]

G. B. Alves, R. F. Barros, D. S. Tasca, C. E. R. Souza, and A. Z. Khoury, “Conditions for optical parametric oscillation with a structured light pump,” Phys. Rev. A 98(6), 063825 (2018).
[Crossref]

W. T. Buono, J. Santiago, L. J. Pereira, D. S. Tasca, K. Dechoum, and A. Z. Khoury, “Polarization-controlled orbital angular momentum switching in nonlinear wave mixing,” Opt. Lett. 43(7), 1439–1442 (2018).
[Crossref]

R. Mamuti, S. Araki, S. Nishida, K. Miyamoto, and T. Omatsu, “Tunable near-infrared optical vortex parametric laser with versatile orbital angular momentum states,” Appl. Opt. 57(34), 10004–10008 (2018).
[Crossref]

2017 (9)

A. Aadhi, G. K. Samanta, S. Chaitanya Kumar, and M. Ebrahim-Zadeh, “Controlled switching of orbital angular momentum in an optical parametric oscillator,” Optica 4(3), 349–355 (2017).
[Crossref]

V. V. Kotlyar, A. A. Kovalev, and A. P. Porfirev, “Astigmatic transforms of an optical vortex for measurement of its topological charge,” Appl. Opt. 56(14), 4095–4104 (2017).
[Crossref]

S. Syubaev, A. Porfirev, A. Zhizhchenko, O. Vitrik, S. Kudryashov, S. Fomchenkov, S. Khonina, and A. Kuchmizhak, “Zero-orbital-angular-momentum laser printing of chiral nanoneedles,” Opt. Lett. 42(23), 5022–5025 (2017).
[Crossref]

X. Y. Z. Xiong, A. Al-Jarro, L. J. Jiang, N. C. Panoiu, and W. E. I. Sha, “Mixing of spin and orbital angular momenta via second-harmonic generation in plasmonic and dielectric chiral nanostructures,” Phys. Rev. B 95(16), 165432 (2017).
[Crossref]

S. Araki, K. Suzuki, S. Nishida, R. Mamuti, K. Miyamoto, and T. Omatsu, “Ultra-broadband tunable (0.67–2.57 µm) optical vortex parametric oscillator,” Jpn. J. Appl. Phys. 56(10), 102701 (2017).
[Crossref]

T. Omatsu, K. Miyamoto, and A. J. Lee, “Wavelength-versatile optical vortex lasers,” J. Opt. 19(12), 123002 (2017).
[Crossref]

M. G. Rahimian, F. Bouchard, H. Al-Khazraji, E. Karimi, P. B. Corkum, and V. R. Bhardwaj, “Polarization dependent nanostructuring of silicon with femtosecond vortex pulse,” APL Photonics 2(8), 086104 (2017).
[Crossref]

P. Figliozzi, N. Sule, Z. Yan, Y. Bao, S. Burov, S. K. Gray, S. A. Rice, S. Vaikuntanathan, and N. F. Scherer, “Driven optical matter : Dynamics of electrodynamically coupled nanoparticles in an optical ring vortex,” Phys. Rev. E 95(2), 022604 (2017).
[Crossref]

F. Zhu, S. Huang, W. Shao, J. Zhang, M. Chen, W. Zhang, and J. Zeng, “Free-space optical communication link using perfect vortex beams carrying orbital angular momentum (OAM),” Opt. Commun. 396, 50–57 (2017).
[Crossref]

2016 (4)

F. Takahashi, K. Miyamoto, H. Hidai, K. Yamane, R. Morita, and T. Omatsu, “Picosecond optical vortex pulse illumination forms a monocrystalline silicon needle,” Sci. Rep. 6(1), 21738 (2016).
[Crossref]

D. Barada, G. Juman, I. Yoshida, K. Miyamoto, S. Kawata, S. Ohno, and T. Omatsu, “Constructive spin-orbital angular momentum coupling can twist materials to create spiral structures in optical vortex illumination,” Appl. Phys. Lett. 108(5), 051108 (2016).
[Crossref]

A. M. Akulshin, I. Novikova, E. E. Mikhailov, S. A. Suslov, and R. J. McLean, “Arithmetic with optical topological charges in stepwise-excited Rb vapor,” Opt. Lett. 41(6), 1146–1149 (2016).
[Crossref]

T. Yusufu, Y. Sasaki, S. Araki, K. Miyamoto, and T. Omatsu, “Beam propagation of efficient frequency-doubled optical vortices,” Appl. Opt. 55(19), 5263–5266 (2016).
[Crossref]

2015 (6)

Y. Li, Z.-Y. Zhou, D.-S. Ding, and B.-S. Shi, “Sum frequency generation with two orbital angular momentum carrying laser beams,” J. Opt. Soc. Am. B 32(3), 407–411 (2015).
[Crossref]

A. A. Zhdanova, M. Shutova, A. Bahari, M. Zhi, and A. V. Sokolov, “Topological charge algebra of optical vortices in nonlinear interactions,” Opt. Express 23(26), 34109–34117 (2015).
[Crossref]

M. Watabe, G. Juman, K. Miyamoto, and T. Omatsu, “Light induced conch-shaped relief in an azo-polymer film,” Sci. Rep. 4(1), 4281 (2015).
[Crossref]

D.-S. Ding, W. Zhang, Z.-Y. Zhou, S. Shi, G.-Y. Xiang, X.-S. Wang, Y.-K. Jiang, B.-S. Shi, and G.-C. Guo, “Quantum Storage of Orbital Angular Momentum Entanglement in an Atomic Ensemble,” Phys. Rev. Lett. 114(5), 050502 (2015).
[Crossref]

M. Mirhosseini, O. S. Magaña-Loaiza, M. N. O’Sullivan, B. Rodenburg, M. Malik, M. P. J. Lavery, M. J. Padgett, D. J. Gauthier, and R. W. Boyd, “High-dimensional quantum cryptography with twisted light,” New J. Phys. 17(3), 033033 (2015).
[Crossref]

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, and S. Ashrafi, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photonics 7(1), 66 (2015).
[Crossref]

2014 (5)

G. Vallone, V. D. Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-Space Quantum Key Distribution by Rotation-Invariant Twisted Photons,” Phys. Rev. Lett. 113(6), 060503 (2014).
[Crossref]

X. Li, Y. Tai, L. Zhang, H. Li, and L. Li, “Characterization of dynamic random process using optical vortex metrology,” Appl. Phys. B: Lasers Opt. 116(4), 901–909 (2014).
[Crossref]

M. Gecevičius, R. Drevinskas, M. Beresna, and P. G. Kazansky, “Single beam optical vortex tweezers with tunable orbital angular momentum,” Appl. Phys. Lett. 104(23), 231110 (2014).
[Crossref]

A. Nicolas, L. Veissier, L. Giner, E. Giacobino, D. Maxein, and J. Laurat, “A quantum memory for orbital angular momentum photonic qubits,” Nat. Photonics 8(3), 234–238 (2014).
[Crossref]

W. T. Buono, L. F. C. Moraes, J. A. O. Huguenin, C. E. R. Souza, and A. Z. Khoury, “Arbitrary orbital angular momentum addition in second harmonic generation,” New J. Phys. 16(9), 093041 (2014).
[Crossref]

2013 (4)

P. Vaity, J. Banerji, and R. P. Singh, “Measuring the topological charge of an optical vortex by using a tilted convex lens,” Phys. Lett. A 377(15), 1154–1156 (2013).
[Crossref]

A. J. Lee, T. Omatsu, and H. M. Pask, “Direct generation of a first-Stokes vortex laser beam from a self-Raman laser,” Opt. Express 21(10), 12401 (2013).
[Crossref]

K. Toyoda, F. Takahashi, S. Takizawa, Y. Tokizane, K. Miyamoto, R. Morita, and T. Omatsu, “Transfer of light helicity to nanostructures,” Phys. Rev. Lett. 110(14), 143603 (2013).
[Crossref]

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref]

2012 (4)

K. Toyoda, K. Miyamoto, N. Aoki, R. Morita, and T. Omatsu, “Using optical vortex to control the chirality of twisted metal nanostructures,” Nano Lett. 12(7), 3645–3649 (2012).
[Crossref]

V. D. Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3(1), 961 (2012).
[Crossref]

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108(24), 243601 (2012).
[Crossref]

A. Ambrosio, L. Marrucci, F. Borbone, A. Roviello, and P. Maddalena, “Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination,” Nat. Commun. 3(1), 989 (2012).
[Crossref]

2011 (2)

2010 (2)

2008 (2)

C. E. R. Souza, C. V. S. Borges, A. Z. Khoury, J. A. O. Huguenin, L. Aolita, and S. P. Walborn, “Quantum key distribution without a shared reference frame,” Phys. Rev. A 77(3), 032345 (2008).
[Crossref]

G. C. G. Berkhout and M. W. Beijersbergen, “Method for Probing the Orbital Angular Momentum of Optical Vortices in Electromagnetic Waves from Astronomical Objects,” Phys. Rev. Lett. 101(10), 100801 (2008).
[Crossref]

2007 (2)

L. Aolita and S. P. Walborn, “Quantum communication without alignment using multiple-qubit single-photon states,” Phys. Rev. Lett. 98(10), 100501 (2007).
[Crossref]

J. Lin, X.-C. Yuan, S. H. Tao, and R. E. Burge, “Multiplexing free-space optical signals using superimposed collinear orbital angular momentum states,” Appl. Opt. 46(21), 4680–4685 (2007).
[Crossref]

2006 (2)

2005 (1)

2004 (3)

G. Gibson, J. Courtial, M. J. Padgett, V. Mikhail, P. Valeriy, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12(22), 5448–5456 (2004).
[Crossref]

M. Martinelli, J. A. O. Huguenin, P. Nussenzveig, and A. Z. Khoury, “Orbital angular momentum exchange in an optical parametric oscillator,” Phys. Rev. A 70(1), 013812 (2004).
[Crossref]

M. Padgett, J. Courtial, and L. Allen, “Light’s orbital angular momentum,” Phys. Today 57(5), 35–40 (2004).
[Crossref]

2003 (2)

S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90(13), 133001 (2003).
[Crossref]

M. Harwit, “Photon orbital angular momentum in astrophysics,” Astrophys. J. 597(2), 1266–1270 (2003).
[Crossref]

2002 (2)

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic Holographic Optical Tweezers,” Opt. Commun. 207(1-6), 169–175 (2002).
[Crossref]

A. T. O’Neil, I. MacVicar, L. Allen, and M. J. Padgett, “Intrinsic and Extrinsic Nature of the Orbital Angular Momentum of a Light Beam,” Phys. Rev. Lett. 88(5), 053601 (2002).
[Crossref]

2001 (2)

M. S. Soskin and M. V. Vasnetsov, “Singular Optics,” Prog. Opt. 42, 219–276 (2001).
[Crossref]

A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature 412(6844), 313–316 (2001).
[Crossref]

1999 (1)

J. W. R. Tabosa and D. V. Petrov, “Optical pumping of orbital angular momentum of light in cold cesium atoms,” Phys. Rev. Lett. 83(24), 4967–4970 (1999).
[Crossref]

1998 (1)

A. Beržanskis, A. Matijošius, A. Piskarskas, V. Smilgevičius, and A. Stabinis, “Sum-frequency mixing of optical vortices in nonlinear crystals,” Opt. Commun. 150(1-6), 372–380 (1998).
[Crossref]

1997 (1)

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[Crossref]

1996 (2)

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[Crossref]

K. T. Gahagan and G. A. Swartzlander, “Optical vortex trapping of particles,” Opt. Lett. 21(11), 827–829 (1996).
[Crossref]

1995 (1)

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct Observation of Transfer of Angular Momentum to Absorptive Particles from a Laser Beam with a Phase Singularity,” Phys. Rev. Lett. 75(5), 826–829 (1995).
[Crossref]

1994 (1)

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-Wave-Front Laser-Beams Produced With a Spiral Phaseplate,” Opt. Commun. 112(5-6), 321–327 (1994).
[Crossref]

1992 (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
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N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, “Laser beams with phase singularities,” Opt. Quantum Electron. 24(9), S951–S962 (1992).
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1986 (1)

G. Binnig, C. F. Quate, and C. Gerber, “Atomic Force Microscope,” Phys. Rev. Lett. 56(9), 930–933 (1986).
[Crossref]

Aadhi, A.

Ahmed, N.

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, and S. Ashrafi, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photonics 7(1), 66 (2015).
[Crossref]

Akulshin, A. M.

Al-Jarro, A.

X. Y. Z. Xiong, A. Al-Jarro, L. J. Jiang, N. C. Panoiu, and W. E. I. Sha, “Mixing of spin and orbital angular momenta via second-harmonic generation in plasmonic and dielectric chiral nanostructures,” Phys. Rev. B 95(16), 165432 (2017).
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Al-Khazraji, H.

M. G. Rahimian, F. Bouchard, H. Al-Khazraji, E. Karimi, P. B. Corkum, and V. R. Bhardwaj, “Polarization dependent nanostructuring of silicon with femtosecond vortex pulse,” APL Photonics 2(8), 086104 (2017).
[Crossref]

Allen, L.

M. Padgett, J. Courtial, and L. Allen, “Light’s orbital angular momentum,” Phys. Today 57(5), 35–40 (2004).
[Crossref]

A. T. O’Neil, I. MacVicar, L. Allen, and M. J. Padgett, “Intrinsic and Extrinsic Nature of the Orbital Angular Momentum of a Light Beam,” Phys. Rev. Lett. 88(5), 053601 (2002).
[Crossref]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[Crossref]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref]

Alves, G. B.

G. B. Alves, R. F. Barros, D. S. Tasca, C. E. R. Souza, and A. Z. Khoury, “Conditions for optical parametric oscillation with a structured light pump,” Phys. Rev. A 98(6), 063825 (2018).
[Crossref]

Ambrosio, A.

A. Ambrosio, L. Marrucci, F. Borbone, A. Roviello, and P. Maddalena, “Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination,” Nat. Commun. 3(1), 989 (2012).
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Ambrosio, V. D.

G. Vallone, V. D. Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-Space Quantum Key Distribution by Rotation-Invariant Twisted Photons,” Phys. Rev. Lett. 113(6), 060503 (2014).
[Crossref]

V. D. Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3(1), 961 (2012).
[Crossref]

Aoki, N.

Aolita, L.

V. D. Ambrosio, E. Nagali, S. P. Walborn, L. Aolita, S. Slussarenko, L. Marrucci, and F. Sciarrino, “Complete experimental toolbox for alignment-free quantum communication,” Nat. Commun. 3(1), 961 (2012).
[Crossref]

C. E. R. Souza, C. V. S. Borges, A. Z. Khoury, J. A. O. Huguenin, L. Aolita, and S. P. Walborn, “Quantum key distribution without a shared reference frame,” Phys. Rev. A 77(3), 032345 (2008).
[Crossref]

L. Aolita and S. P. Walborn, “Quantum communication without alignment using multiple-qubit single-photon states,” Phys. Rev. Lett. 98(10), 100501 (2007).
[Crossref]

Araki, S.

Arita, Y.

T. Omatsu, K. Miyamoto, K. Toyoda, R. Morita, Y. Arita, and K. Dholakia, “A New Twist for Materials Science : The Formation of Chiral Structures using The Angular Momentum of Light,” Adv. Opt. Mater. 7(14), 1801672 (2019).
[Crossref]

Arnold, A. S.

R. F. Offer, D. Stulga, E. Riis, S. Franke-Arnold, and A. S. Arnold, “Spiral bandwidth of four-wave mixing in Rb vapour,” Commun. Phys. 1(1), 84 (2018).
[Crossref]

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108(24), 243601 (2012).
[Crossref]

Ashrafi, N.

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, and S. Ashrafi, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photonics 7(1), 66 (2015).
[Crossref]

Ashrafi, S.

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, and S. Ashrafi, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photonics 7(1), 66 (2015).
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Bahari, A.

Banerji, J.

P. Vaity, J. Banerji, and R. P. Singh, “Measuring the topological charge of an optical vortex by using a tilted convex lens,” Phys. Lett. A 377(15), 1154–1156 (2013).
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A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, and S. Ashrafi, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photonics 7(1), 66 (2015).
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Bao, Y.

P. Figliozzi, N. Sule, Z. Yan, Y. Bao, S. Burov, S. K. Gray, S. A. Rice, S. Vaikuntanathan, and N. F. Scherer, “Driven optical matter : Dynamics of electrodynamically coupled nanoparticles in an optical ring vortex,” Phys. Rev. E 95(2), 022604 (2017).
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Barada, D.

D. Barada, G. Juman, I. Yoshida, K. Miyamoto, S. Kawata, S. Ohno, and T. Omatsu, “Constructive spin-orbital angular momentum coupling can twist materials to create spiral structures in optical vortex illumination,” Appl. Phys. Lett. 108(5), 051108 (2016).
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Barnett, S. M.

Barreiro, S.

S. Barreiro and J. W. R. Tabosa, “Generation of Light Carrying Orbital Angular Momentum via Induced Coherence Grating in Cold Atoms,” Phys. Rev. Lett. 90(13), 133001 (2003).
[Crossref]

Barros, R. F.

G. B. Alves, R. F. Barros, D. S. Tasca, C. E. R. Souza, and A. Z. Khoury, “Conditions for optical parametric oscillation with a structured light pump,” Phys. Rev. A 98(6), 063825 (2018).
[Crossref]

Beijersbergen, M. W.

G. C. G. Berkhout and M. W. Beijersbergen, “Method for Probing the Orbital Angular Momentum of Optical Vortices in Electromagnetic Waves from Astronomical Objects,” Phys. Rev. Lett. 101(10), 100801 (2008).
[Crossref]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-Wave-Front Laser-Beams Produced With a Spiral Phaseplate,” Opt. Commun. 112(5-6), 321–327 (1994).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes,” Phys. Rev. A 45(11), 8185–8189 (1992).
[Crossref]

Beresna, M.

M. Gecevičius, R. Drevinskas, M. Beresna, and P. G. Kazansky, “Single beam optical vortex tweezers with tunable orbital angular momentum,” Appl. Phys. Lett. 104(23), 231110 (2014).
[Crossref]

Berkhout, G. C. G.

G. C. G. Berkhout and M. W. Beijersbergen, “Method for Probing the Orbital Angular Momentum of Optical Vortices in Electromagnetic Waves from Astronomical Objects,” Phys. Rev. Lett. 101(10), 100801 (2008).
[Crossref]

Beržanskis, A.

A. Beržanskis, A. Matijošius, A. Piskarskas, V. Smilgevičius, and A. Stabinis, “Sum-frequency mixing of optical vortices in nonlinear crystals,” Opt. Commun. 150(1-6), 372–380 (1998).
[Crossref]

Bhardwaj, V. R.

M. G. Rahimian, F. Bouchard, H. Al-Khazraji, E. Karimi, P. B. Corkum, and V. R. Bhardwaj, “Polarization dependent nanostructuring of silicon with femtosecond vortex pulse,” APL Photonics 2(8), 086104 (2017).
[Crossref]

Binnig, G.

G. Binnig, C. F. Quate, and C. Gerber, “Atomic Force Microscope,” Phys. Rev. Lett. 56(9), 930–933 (1986).
[Crossref]

Borbone, F.

A. Ambrosio, L. Marrucci, F. Borbone, A. Roviello, and P. Maddalena, “Light-induced spiral mass transport in azo-polymer films under vortex-beam illumination,” Nat. Commun. 3(1), 989 (2012).
[Crossref]

Borges, C. V. S.

C. E. R. Souza, C. V. S. Borges, A. Z. Khoury, J. A. O. Huguenin, L. Aolita, and S. P. Walborn, “Quantum key distribution without a shared reference frame,” Phys. Rev. A 77(3), 032345 (2008).
[Crossref]

Bouchard, F.

M. G. Rahimian, F. Bouchard, H. Al-Khazraji, E. Karimi, P. B. Corkum, and V. R. Bhardwaj, “Polarization dependent nanostructuring of silicon with femtosecond vortex pulse,” APL Photonics 2(8), 086104 (2017).
[Crossref]

Boyd, R. W.

M. Mirhosseini, O. S. Magaña-Loaiza, M. N. O’Sullivan, B. Rodenburg, M. Malik, M. P. J. Lavery, M. J. Padgett, D. J. Gauthier, and R. W. Boyd, “High-dimensional quantum cryptography with twisted light,” New J. Phys. 17(3), 033033 (2015).
[Crossref]

Bozinovic, N.

N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A. E. Willner, and S. Ramachandran, “Terabit-scale orbital angular momentum mode division multiplexing in fibers,” Science 340(6140), 1545–1548 (2013).
[Crossref]

Buono, W. T.

W. T. Buono, J. Santiago, L. J. Pereira, D. S. Tasca, K. Dechoum, and A. Z. Khoury, “Polarization-controlled orbital angular momentum switching in nonlinear wave mixing,” Opt. Lett. 43(7), 1439–1442 (2018).
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W. T. Buono, L. F. C. Moraes, J. A. O. Huguenin, C. E. R. Souza, and A. Z. Khoury, “Arbitrary orbital angular momentum addition in second harmonic generation,” New J. Phys. 16(9), 093041 (2014).
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Burge, R. E.

Burov, S.

P. Figliozzi, N. Sule, Z. Yan, Y. Bao, S. Burov, S. K. Gray, S. A. Rice, S. Vaikuntanathan, and N. F. Scherer, “Driven optical matter : Dynamics of electrodynamically coupled nanoparticles in an optical ring vortex,” Phys. Rev. E 95(2), 022604 (2017).
[Crossref]

Cao, Y.

A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, and S. Ashrafi, “Optical communications using orbital angular momentum beams,” Adv. Opt. Photonics 7(1), 66 (2015).
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Chaitanya Kumar, S.

Chan, C. T.

J. Ng, Z. Lin, and C. T. Chan, “Theory of Optical Trapping by an Optical Vortex Beam,” Phys. Rev. Lett. 104(10), 103601 (2010).
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Chen, M.

F. Zhu, S. Huang, W. Shao, J. Zhang, M. Chen, W. Zhang, and J. Zeng, “Free-space optical communication link using perfect vortex beams carrying orbital angular momentum (OAM),” Opt. Commun. 396, 50–57 (2017).
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Chujo, K.

Cižmár, T.

K. Dholakia and T. Čižmár, “Shaping the future of manipulation,” Nat. Photonics 5(6), 335–342 (2011).
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Coerwinkel, R. P. C.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-Wave-Front Laser-Beams Produced With a Spiral Phaseplate,” Opt. Commun. 112(5-6), 321–327 (1994).
[Crossref]

Corkum, P. B.

M. G. Rahimian, F. Bouchard, H. Al-Khazraji, E. Karimi, P. B. Corkum, and V. R. Bhardwaj, “Polarization dependent nanostructuring of silicon with femtosecond vortex pulse,” APL Photonics 2(8), 086104 (2017).
[Crossref]

Courtial, J.

M. Padgett, J. Courtial, and L. Allen, “Light’s orbital angular momentum,” Phys. Today 57(5), 35–40 (2004).
[Crossref]

G. Gibson, J. Courtial, M. J. Padgett, V. Mikhail, P. Valeriy, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12(22), 5448–5456 (2004).
[Crossref]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[Crossref]

Curtis, J. E.

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic Holographic Optical Tweezers,” Opt. Commun. 207(1-6), 169–175 (2002).
[Crossref]

Dechoum, K.

Dholakia, K.

T. Omatsu, K. Miyamoto, K. Toyoda, R. Morita, Y. Arita, and K. Dholakia, “A New Twist for Materials Science : The Formation of Chiral Structures using The Angular Momentum of Light,” Adv. Opt. Mater. 7(14), 1801672 (2019).
[Crossref]

K. Dholakia and T. Čižmár, “Shaping the future of manipulation,” Nat. Photonics 5(6), 335–342 (2011).
[Crossref]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, “Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes,” Phys. Rev. A 56(5), 4193–4196 (1997).
[Crossref]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54(5), R3742–R3745 (1996).
[Crossref]

Ding, D.-S.

D.-S. Ding, W. Zhang, Z.-Y. Zhou, S. Shi, G.-Y. Xiang, X.-S. Wang, Y.-K. Jiang, B.-S. Shi, and G.-C. Guo, “Quantum Storage of Orbital Angular Momentum Entanglement in an Atomic Ensemble,” Phys. Rev. Lett. 114(5), 050502 (2015).
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Y. Li, Z.-Y. Zhou, D.-S. Ding, and B.-S. Shi, “Sum frequency generation with two orbital angular momentum carrying laser beams,” J. Opt. Soc. Am. B 32(3), 407–411 (2015).
[Crossref]

Drevinskas, R.

M. Gecevičius, R. Drevinskas, M. Beresna, and P. G. Kazansky, “Single beam optical vortex tweezers with tunable orbital angular momentum,” Appl. Phys. Lett. 104(23), 231110 (2014).
[Crossref]

Ebrahim-Zadeh, M.

Figliozzi, P.

P. Figliozzi, N. Sule, Z. Yan, Y. Bao, S. Burov, S. K. Gray, S. A. Rice, S. Vaikuntanathan, and N. F. Scherer, “Driven optical matter : Dynamics of electrodynamically coupled nanoparticles in an optical ring vortex,” Phys. Rev. E 95(2), 022604 (2017).
[Crossref]

Fomchenkov, S.

S. Syubaev, A. Zhizhchenko, O. Vitrikc, A. Porfirev, S. Fomchenkov, S. Khonina, S. Kudryashov, and A. Kuchmizhak, “Chirality of laser-printed plasmonic nanoneedles tunable by tailoring spiral-shape pulses,” Appl. Surf. Sci. 470(15), 526–534 (2019).
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S. Syubaev, A. Porfirev, A. Zhizhchenko, O. Vitrik, S. Kudryashov, S. Fomchenkov, S. Khonina, and A. Kuchmizhak, “Zero-orbital-angular-momentum laser printing of chiral nanoneedles,” Opt. Lett. 42(23), 5022–5025 (2017).
[Crossref]

Foo, G.

Franke-Arnold, S.

R. F. Offer, D. Stulga, E. Riis, S. Franke-Arnold, and A. S. Arnold, “Spiral bandwidth of four-wave mixing in Rb vapour,” Commun. Phys. 1(1), 84 (2018).
[Crossref]

G. Walker, A. S. Arnold, and S. Franke-Arnold, “Trans-spectral orbital angular momentum transfer via four-wave mixing in Rb vapor,” Phys. Rev. Lett. 108(24), 243601 (2012).
[Crossref]

G. Gibson, J. Courtial, M. J. Padgett, V. Mikhail, P. Valeriy, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express 12(22), 5448–5456 (2004).
[Crossref]

Friese, M. E. J.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct Observation of Transfer of Angular Momentum to Absorptive Particles from a Laser Beam with a Phase Singularity,” Phys. Rev. Lett. 75(5), 826–829 (1995).
[Crossref]

Furuki, K.

Gahagan, K. T.

Gauthier, D. J.

M. Mirhosseini, O. S. Magaña-Loaiza, M. N. O’Sullivan, B. Rodenburg, M. Malik, M. P. J. Lavery, M. J. Padgett, D. J. Gauthier, and R. W. Boyd, “High-dimensional quantum cryptography with twisted light,” New J. Phys. 17(3), 033033 (2015).
[Crossref]

Gecevicius, M.

M. Gecevičius, R. Drevinskas, M. Beresna, and P. G. Kazansky, “Single beam optical vortex tweezers with tunable orbital angular momentum,” Appl. Phys. Lett. 104(23), 231110 (2014).
[Crossref]

Gerber, C.

G. Binnig, C. F. Quate, and C. Gerber, “Atomic Force Microscope,” Phys. Rev. Lett. 56(9), 930–933 (1986).
[Crossref]

Giacobino, E.

A. Nicolas, L. Veissier, L. Giner, E. Giacobino, D. Maxein, and J. Laurat, “A quantum memory for orbital angular momentum photonic qubits,” Nat. Photonics 8(3), 234–238 (2014).
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Gibson, G.

Giner, L.

A. Nicolas, L. Veissier, L. Giner, E. Giacobino, D. Maxein, and J. Laurat, “A quantum memory for orbital angular momentum photonic qubits,” Nat. Photonics 8(3), 234–238 (2014).
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Figures (9)

Fig. 1.
Fig. 1. (a) Experimental setup of singly resonant optical parametric oscillator. (b) Measured temporal coherence of pump laser.
Fig. 2.
Fig. 2. (a–c) Flower modes with s=±2, ±3, and ± 4. (d–f) Wavefront measurement of signal outputs with a tilted lens. (g–i) Theoretical flower modes with s =±2, ±3 and ± 4. α is 0.32.
Fig. 3.
Fig. 3. Power scaling of the 930 nm signal and corresponding 1243 nm idler outputs.
Fig. 4.
Fig. 4. (a–c) Wheel-shaped idler modes with i=0 & 4, -1 & 5, and -2 & 6. (d–f) Theoretical wheel-shaped idler outputs.
Fig. 5.
Fig. 5. Coherence of pump pulse
Fig. 6.
Fig. 6. Spatial profiles of (a–c) signal (750 nm, 880 nm, and 952 nm) and (d–f) idler (1830nm, 1345 nm, and 1206 nm) vortex outputs. Inclined focused spatial forms of (g–i) signal (770 nm, 880 nm, and 952 nm) and (j–l) idler (1830nm, 1345 nm, and 1206 nm) outputs.
Fig. 7.
Fig. 7. Tunability and power scaling of signal and idler outputs.
Fig. 8.
Fig. 8. (a) 1020 nm signal and (b) corresponding 1112 nm idler outputs from the double resonance region.
Fig. 9.
Fig. 9. (a–c) Ring-shaped modes with ℓs=±2, ±3, and ± 4. (d-f) Double-ring modes with i=-4 and 0, -3 and 1, and -2 and 6.

Equations (4)

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u ( r , ϕ ) α r | s | e ( r ω 0 ) 2 e i s ϕ + β r | s | e ( r ω 0 ) 2 e i s ϕ
α 2 + β 2 = 1
u ( r , ϕ ) α r | 2 s | e ( r ω 0 ) 2 e i ( 2 s ) ϕ + β r | s + 2 | e ( r ω 0 ) 2 e i ( s + 2 ) ϕ
η p , s , i = | E p E s E i d S | 0 2 π 0 r | p | + | s | + | i | exp ( ( 1 ω P 2 + 1 ω s 2 + 1 ω i 2 ) r 2 ) . exp ( i ( p s i ) ϕ ) r d r d ϕ

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