Multiplication and division of orbital angular momentum beams by Fermat’s spiral transformation

Zishuai Zeng; Zihao Pang; Keming Pan; Jia Xu; Daomu Zhao

doi:10.1364/PRJ.477439

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

[2] D. G. Grier. A revolution in optical manipulation. Nature, 424, 810-816(2003).

[3] J. Ng, Z. Lin, C. T. Chan. Theory of optical trapping by an optical vortex beam. Phys. Rev. Lett., 104, 103601(2010).

[4] M. Padgett, R. Bowman. Tweezers with a twist. Nat. Photonics, 5, 343-348(2011).

[5] C. Paterson. Atmospheric turbulence and orbital angular momentum of single photons for optical communication. Phys. Rev. Lett., 94, 153901(2005).

[6] J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willner. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).

[7] R. C. Devlin, A. Ambrosio, N. A. Rubin, J. P. B. Mueller, F. Capasso. Arbitrary spin-to-orbital angular momentum conversion of light. Science, 358, 896-901(2017).

[8] G. Ding, K. Chen, X. Luo, J. Zhao, T. Jiang, Y. Feng. Dual-helicity decoupled coding metasurface for independent spin-to-orbital angular momentum conversion. Phys. Rev. Appl., 11, 044043(2019).

[9] A. Mair, A. Vaziri, G. Weihs, A. Zeilinger. Entanglement of orbital angular momentum states of photons. Nature, 412, 313-316(2001).

[10] S. Franke-Arnold, S. M. Barnett, M. J. Padgett, L. Allen. Two-photon entanglement of orbital angular momentum states. Phys. Rev. A, 65, 033823(2002).

[11] E. Nagali, F. Sciarrino, F. D. Martini, L. Marrucci, B. Piccirillo, E. Karimi, E. Santamato. Quantum information transfer from spin to orbital angular momentum of photons. Phys. Rev. Lett., 103, 013601(2009).

[12] V. D’Ambrosio, E. Nagali, C. H. Monken, S. Slussarenko, L. Marrucci, F. Sciarrino. Deterministic qubit transfer between orbital and spin angular momentum of single photons. Opt. Lett., 37, 172-174(2012).

[13] A. Sit, F. Bouchard, R. Fickler, J. Gagnon-Bischoff, H. Larocque, K. Heshami, D. Elser, C. Peuntinger, K. Günthner, B. Heim, C. Marquardt, G. Leuchs, R. W. Boyd, E. Karimi. High-dimensional intracity quantum cryptography with structured photons. Optica, 4, 1006-1010(2017).

[14] A. Sit, R. Fickler, F. Alsaiari, F. Bouchard, H. Larocque, P. Gregg, L. Yan, R. W. Boyd, S. Ramachandran, E. Karimi. Quantum cryptography with structured photons through a vortex fiber. Opt. Lett., 43, 4108-4111(2018).

[15] M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, J. P. Woerdman. Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun., 96, 123-132(1993).

[16] G. A. Turnbull, D. A. Robertson, G. M. Smith, L. Allen, M. J. Padgett. The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phase plate. Opt. Commun., 127, 183-188(1996).

[17] M. Massari, G. Ruffato, M. Gintoli, F. Ricci, F. Romanato. Fabrication and characterization of high-quality spiral phase plates for optical applications. Appl. Opt., 54, 4077-4083(2015).

[18] S. Li, Q. Mo, X. Hu, C. Du, J. Wang. Controllable all-fiber orbital angular momentum mode converter. Opt. Lett., 40, 4376-4379(2015).

[19] N. R. Heckenberg, R. McDuff, C. P. Smith, A. White. Generation of optical phase singularities by computer-generated holograms. Opt. Lett., 17, 221-223(1992).

[20] G. Ruffato, R. Rossi, M. Massari, E. Mafakheri, P. Capaldo, F. Romanato. Design, fabrication and characterization of computer generated holograms for anti-counterfeiting applications using OAM beams as light decoders. Sci. Rep., 7, 18011(2017).

[21] E. Karimi, S. A. Schulz, I. D. Leon, H. Qassim, J. Upham, R. W. Boyd. Generating optical orbital angular momentum at visible wavelengths using a plasmonic metasurface. Light Sci. Appl., 3, e167(2014).

[22] M. L. N. Chen, L. J. Jiang, W. E. I. Sha. Orbital angular momentum generation and detection by geometric-phase based metasurfaces. Appl. Sci., 8, 362(2018).

[23] 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, S. Ashrafi. Optical communications using orbital angular momentum beams. Adv. Opt. Photon., 7, 66-106(2015).

[24] M. Krenn, J. Handsteiner, M. Fink, R. Fickler, R. Ursin, M. Malik, A. Zeilinger. Twisted light transmission over 143 km. Proc. Natl. Acad. Sci. USA, 113, 13648-13653(2016).

[25] M. P. Lavery, C. Peuntinger, K. Günthner, P. Banzer, D. Elser, R. W. Boyd, M. J. Padgett, C. Marquardt, G. Leuchs. Free-space propagation of high-dimensional structured optical fields in an urban environment. Sci. Adv., 3, e1700552(2017).

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

[27] B. Guan, R. P. Scott, C. Qin, N. K. Fontaine, T. Su, C. Ferrari, M. Cappuzzo, F. Klemens, B. Keller, M. Earnshaw, S. J. B. Yoo. Free space coherent optical communication with orbital angular, momentum multiplexing/demultiplexing using a hybrid 3D photonic integrated circuit. Opt. Express, 22, 145-156(2013).

[28] Y. Yan, G. Xie, M. P. J. Lavery, H. Huang, N. Ahmed, C. Bao, Y. Ren, Y. Cao, L. Li, Z. Zhao, A. F. Molisch, M. Tur, M. J. Padgett, A. E. Willner. High-capacity millimetre-wave communications with orbital angular momentum multiplexing. Nat. Commun., 5, 4876(2014).

[29] Z. Xie, S. Gao, T. Lei, S. Feng, Y. Zhang, F. Li, J. Zhang, Z. Li, X. Yuan. Integrated (de)multiplexer for orbital angular momentum fiber communication. Photon. Res., 6, 743-749(2018).

[30] O. Bryngdahl. Geometrical transformations in optics. J. Opt. Soc. Am., 64, 1092-1099(1974).

[31] O. Bryngdahl. Optical map transformations. Opt. Commun., 10, 164-168(1974).

[32] W. J. Hossack, A. M. Darling, A. Dahdouh. Coordinate transformations with multiple computer-generated optical elements. J. Mod. Opt., 34, 1235-1250(1987).

[33] V. Potoček, F. M. Miatto, M. Mirhosseini, O. S. Magaña-Loaiza, A. C. Liapis, D. K. L. Oi, R. W. Boyd, J. Jeffers. Quantum Hilbert hotel. Phys. Rev. Lett., 115, 160505(2015).

[34] Z. Zhao, Y. Ren, G. Xie, L. Li, Y. Yan, N. Ahmed, Z. Wang, C. Liu, A. J. Willner, S. Ashrafi, A. E. Willner. Invited article: division and multiplication of the state order for data-carrying orbital angular momentum beams. APL Photon., 1, 090802(2016).

[35] G. Ruffato, M. Massari, G. Parisi, F. Romanato. Test of mode-division multiplexing and demultiplexing in free-space with diffractive transformation optics. Opt. Express, 25, 7859-7868(2017).

[36] G. Ruffato, M. Massari, F. Romanato. Compact sorting of optical vortices by means of diffractive transformation optics. Opt. Lett., 42, 551-554(2017).

[37] G. Ruffato, P. Capaldo, M. Massari, E. Mafakheri, F. Romanato. Total angular momentum sorting in the telecom infrared with silicon Pancharatnam-Berry transformation optics. Opt. Express, 27, 15750-15764(2019).

[38] G. Ruffato, M. Massari, F. Romanato. Multiplication and division of the orbital angular momentum of light with diffractive transformation optics. Light Sci. Appl., 8, 113(2019).

[39] Y. Wen, I. Chremmos, Y. Chen, J. Zhu, Y. Zhang, S. Yu. Spiral transformation for high-resolution and efficient sorting of optical vortex modes. Phys. Rev. Lett., 120, 193904(2018).

[40] Y. Wen, I. Chremmos, Y. Chen, G. Zhu, J. Zhang, J. Zhu, Y. Zhang, J. Liu, S. Yu. Compact and high-performance vortex mode sorter for multi-dimensional multiplexed fiber communication systems. Optica, 7, 254-262(2020).

[41] B. Wang, Y. Wen, J. Zhu, Y. Chen, S. Yu. Sorting full angular momentum states with Pancharatnam-Berry metasurfaces based on spiral transformation. Opt. Express, 28, 16342-16351(2020).

[42] Y. Wen, I. Chremmos, Y. Chen, Y. Zhang, S. Yu. Arbitrary multiplication and division of the orbital angular momentum of light. Phys. Rev. Lett., 124, 213901(2020).

[43] L. Torner, J. P. Torres, S. Carrasco. Digital spiral imaging. Opt. Express, 13, 873-881(2005).

[44] E. Hemsing, A. Knyazik, M. Dunning, D. Xiang, A. Marinelli, C. Hast, J. B. Rosenzweig. Coherent optical vortices from relativistic electron beams. Nat. Phys., 9, 549-553(2013).

[45] S. Takashima, H. Kobayashi, K. Iwashita. Integer multiplier for the orbital angular momentum of light using a circular-sector transformation. Phys. Rev. A, 100, 063822(2019).

微信扫一扫：分享

微信扫一扫：分享