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Laguerre-Gaussian mode sorter

Nicolas K. Fontaine, Roland Ryf, Haoshuo Chen and 3 more

Nature Communications · 2019 · CC BY

doi:10.1038/s41467-019-09840-4

Abstract

Exploiting a particular wave property for a particular application necessitates components capable of discriminating in the basis of that property. While spectral or polarisation decomposition can be straightforward, spatial decomposition is inherently more difficult and few options exist regardless of wave type. Fourier decomposition by a lens is a rare simple example of a spatial decomposition of great practical importance and practical simplicity; a two-dimensional decomposition of a beam into its linear momentum components. Yet this is often not the most appropriate spatial basis. Previously, no device existed capable of a two-dimensional decomposition into orbital angular momentum components, or indeed any discrete basis, despite it being a fundamental property in many wave phenomena. We demonstrate an optical device capable of decomposing a beam into a Cartesian grid of identical Gaussian spots each containing a single Laguerre-Gaussian component, using just a spatial light modulator and mirror.

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References 52

  1. 1.

    Allen L, Beijersbergen MW, Spreeuw RJC, Woerdman JP. Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes. Phys. Rev. A. 1992;45:8185-8189.

    Not in our library10.1103/physreva.45.8185

  2. 2.

    Yao AM, Padgett MJ. Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photonics. 2011;3:161-204.

    Not in our library10.1364/aop.3.000161

  3. 3.

    Mair A, Vaziri A, Weihs G, Zeilinger A. Entanglement of the orbital angular momentum states of photons. Nature. 2001;412:313.

    Not in our library10.1038/35085529

  4. 4.

    Uchida M, Tonomura A. Generation of electron beams carrying orbital angular momentum. Nature. 2010;464:737.

    Not in our library10.1038/nature08904

  5. 5.

    He H, Friese MEJ, Heckenberg NR, Rubinsztein-Dunlop H. Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. Phys. Rev. Lett. 1995;75:826-829.

    Not in our library10.1103/physrevlett.75.826

  6. 6.

    Franke-Arnold Sonja. Optical angular momentum and atoms. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017;375(2087):20150435.

    Not in our library10.1098/rsta.2015.0435

  7. 7.

    Allen L, Babiker M, Power WL. Azimuthal doppler shift in light beams with orbital angular momentum. Opt. Commun. 1994;112:141-144.

    Not in our library10.1016/0030-4018(94)00484-6

  8. 8.

    Harwit M. Photon orbital angular momentum in astrophysics. Astrophys. J. 2003;597:1266.

    Not in our library10.1086/378623

  9. 9.

    Wagner K, et al. Entangling the spatial properties of laser beams. Science. 2008;321:541-543.

    Not in our library10.1126/science.1159663

  10. 10.

    Krenn, M., Malik, M., Erhard, M. & Zeilinger, A. Orbital angular momentum of photons and the entanglement of Laguerre–Gaussian modes. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci.375, 20150442 (2017).

    Not in our library10.1098/rsta.2015.0442

  11. 11.

    Sit A, et al. High-dimensional intracity quantum cryptography with structured photons. Optica. 2017;4:1006-1010.

    Not in our library10.1364/optica.4.001006

  12. 12.

    Richardson DJ, Fini JM, Nelson LE. Space-division multiplexing in optical fibres. Nat. Photonics. 2013;7:354-362.

    Not in our library10.1038/nphoton.2013.94

  13. 13.

    Zhao N, Li X, Li G, Kahn JM. Capacity limits of spatially multiplexed free-space communication. Nat. Photonics. 2015;9:822.

    Not in our library10.1038/nphoton.2015.214

  14. 14.

    Gibson G, et al. Free-space information transfer using light beams carrying orbital angular momentum. Opt. Express. 2004;12:5448-5456.

    Not in our library10.1364/opex.12.005448

  15. 15.

    Zeilinger MK, et al. Communication with spatially modulated light through turbulent air across Vienna. New J. Phys. 2014;16:113028.

    Not in our library10.1088/1367-2630/16/11/113028

  16. 16.

    Nicolas A, et al. A quantum memory for orbital angular momentum photonic qubits. Nat. Photonics. 2014;8:234.

    Not in our library10.1038/nphoton.2013.355

  17. 17.

    CaiLabs. Canunda Application Note (2016).

    Not in our library

  18. 18.

    Hell SW, Wichmann J. Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy. Opt. Lett. 1994;19:780-782.

    Not in our library10.1364/ol.19.000780

  19. 19.

    Fürhapter S, Jesacher A, Bernet S, Ritsch-Marte M. Spiral phase contrast imaging in microscopy. Opt. Express. 2005;13:689-694.

    Not in our library10.1364/opex.13.000689

  20. 20.

    Foo G, Palacios DM, Swartzlander GA. Optical vortex coronagraph. Opt. Lett. 2005;30:3308-3310.

    Not in our library10.1364/ol.30.003308

  21. 21.

    Heckenberg NR, McDuff R, Smith CP, White AG. Generation of optical phase singularities by computer-generated holograms. Opt. Lett. 1992;17:221-223.

    Not in our library10.1364/ol.17.000221

  22. 22.

    Forbes A, Dudley A, McLaren M. Creation and detection of optical modes with spatial light modulators. Adv. Opt. Photonics. 2016;8:200-227.

    Not in our library10.1364/aop.8.000200

  23. 23.

    Turnbull GA, Robertson DA, Smith GM, Allen L, Padgett MJ. The generation of free-space Laguerre–Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate. Opt. Commun. 1996;127:183-188.

    Not in our library10.1016/0030-4018(96)00070-3

  24. 24.

    Yan Y, et al. High-capacity millimetre-wave communications with orbital angular momentum multiplexing. Nat. Commun. 2014;5:4876.

    Not in our library10.1038/ncomms5876

  25. 25.

    Peele AG, et al. Observation of an x-ray vortex. Opt. Lett. 2002;27:1752-1754.

    Not in our library10.1364/ol.27.001752

  26. 26.

    Hefner BT, Marston PL. An acoustical helicoidal wave transducer with applications for the alignment of ultrasonic and underwater systems. J. Acoust. Soc. Am. 1999;106:3313-3316.

    Not in our library10.1121/1.428184

  27. 27.

    Grillo V, et al. Measuring the orbital angular momentum spectrum of an electron beam. Nat. Commun. 2017;8:15536.

    Not in our library10.1038/ncomms15536

  28. 28.

    Clark CW, et al. Controlling neutron orbital angular momentum. Nature. 2015;525:504.

    Not in our library10.1038/nature15265

  29. 29.

    Plick WN, Krenn M. Physical meaning of the radial index of Laguerre–Gauss beams. Phys. Rev. A. 2015;92:063841.

    Not in our library10.1103/physreva.92.063841

  30. 30.

    Karimi E, Santamato E. Radial coherent and intelligent states of paraxial wave equation. Opt. Lett. 2012;37:2484-2486.

    Not in our library10.1364/ol.37.002484

  31. 31.

    Karimi E, et al. Exploring the quantum nature of the radial degree of freedom of a photon via Hong–Ou–Mandel interference. Phys. Rev. A. 2014;89:013829.

    Not in our library10.1103/physreva.89.013829

  32. 32.

    Leach J, et al. Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon. Phys. Rev. Lett. 2004;92:013601.

    Not in our library10.1103/physrevlett.92.013601

  33. 33.

    Berkhout GCG, Lavery MPJ, Courtial J, Beijersbergen MW, Padgett MJ. Efficient sorting of orbital angular momentum states of light. Phys. Rev. Lett. 2010;105:153601.

    Not in our library10.1103/physrevlett.105.153601

  34. 34.

    Mirhosseini M, Malik M, Shi Z, Boyd RW. Efficient separation of the orbital angular momentum eigenstates of light. Nat. Commun. 2013;4:2781.

    Not in our library10.1038/ncomms3781

  35. 35.

    Zhou Y, et al. Sorting photons by radial quantum number. Phys. Rev. Lett. 2017;119:263602.

    Not in our library10.1103/physrevlett.119.263602

  36. 36.

    Gu X, Krenn M, Erhard M, Zeilinger A. Gouy phase radial mode sorter for light: concepts and experiments. Phys. Rev. Lett. 2018;120:103601.

    Not in our library10.1103/physrevlett.120.103601

  37. 37.

    Dudley A, et al. Efficient sorting of Bessel beams. Opt. Express. 2013;21:165-171.

    Not in our library10.1364/oe.21.000165

  38. 38.

    Liu C, et al. Discrimination of orbital angular momentum modes of the terahertz vortex beam using a diffractive mode transformer. Opt. Express. 2016;24:12534-12541.

    Not in our library10.1364/oe.24.012534

  39. 39.

    Morizur JF, et al. Programmable unitary spatial mode manipulation. J. Opt. Soc. Am. A. 2010;27:2524-2531.

    Not in our library10.1364/josaa.27.002524

  40. 40.

    Fontaine, N. K. et al. Design of high order mode-multiplexers using multiplane light conversion. in Proc. European Conference on Optical Communication (ECOC) (2017).

    Not in our library

All 52 references

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