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Radial phase modulated spiral zone plate for generation and manipulation of optical perfect vortex

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Abstract

We propose a novel diffractive element to produce a perfect vortex beam. Flexibility in creating any perfect vortex beam is one of the considerable advantages of this method. Moreover, simplicity in creating the element is another interesting feature of this technique. We simply produce the proposed element by shifting the phase of a spiral zone plate and demonstrate how the phase shift enables us to manage the size of the generated perfect vortex. Further studies illustrate that the shape of the vortex is preserved in a long focal depth, while the phase map rotates around the propagation axis. In addition, all experimental results denote congruence with the respective results from simulation.

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References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Brunne, J., Wallrabe, U.: Tunable MEMS axicon mirror arrays. Opt. Lett. 38, 1939–1941 (1974)

    Article  ADS  Google Scholar 

  • Chena, M., Mazilua, M., Aritaa, Y., Wtightb, E.M., Dholakia, K.: Optical trapping with a perfect vortex beam. In: Conference Paper in Proceedings of SPIE—The International Society for Optical Engineering, August 2014

  • Djordjevic, I.B., Arabaci, M.: LDPC-coded orbital angular momentum (OAM) modulation for free-space optical communication. Opt. Express 18, 24722–24728 (2010)

    Article  ADS  Google Scholar 

  • Fu, S., Wang, T., Gao, Y., Gao, C.: Diagnostics of the topological charge of optical vortex by a phase-diffractive element. Chin. Opt. Lett. 14, 080501(1)–080501(3) (2016)

    Google Scholar 

  • Furlan, W.D., Gimenez, F., Calatayud, A., Monsoriu, J.A.: Devil’s vortex-lenses. Opt. Express 17, 21891–21896 (2009)

    Article  ADS  Google Scholar 

  • Gabriel, M.T., Torres, J.P., Torner, L.: Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum. Phys. Rev. Lett. 88, 013601 (2001). doi:10.1103/PhysRevLett.88.013601

    Article  Google Scholar 

  • Gao, N., Xie, C.Q., Li, C., Jin, C.S., Liu, M.: Square optical vortices generated by binary spiral zone plates. Appl. Phys. Lett. 98, 151106 (2011). doi:10.1063/1.3581044

    Article  ADS  Google Scholar 

  • Garca-Garca, J., Rickenstorff-Parrao, C., Ramos-Garca, R., Arrizn, V., Obstrovsky, A.S.: Simple technique for generating the perfect optical vortex. Opt. Lett. 39, 5305–5308 (2014)

    Article  ADS  Google Scholar 

  • Gbur, G.J.: Mathematical Methods for Optical Sciences, 1st edn. Cambridge University Press, Cambridge (2011)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  • Hell, S.W.: Far-field optical nanoscopy. Science 316, 1153–1158 (2007)

    Article  ADS  Google Scholar 

  • Jabir, M.V., Apurv Chaitanya, N., Aadhi, A., Samanta, G.K.: Generation of perfect vortex of variable size and its effect in angular spectrum of the down-converted photons. Sci. Rep. 6, 21877 (2016). doi:10.1038/srep21877

    Article  ADS  Google Scholar 

  • Lee, W.H.: Binary synthetic holograms. Appl. Opt. 13, 1677–1682 (1974)

    Article  ADS  Google Scholar 

  • Lee, W.M., Yuan, X.C., Tang, D.Y.: Optical tweezers with multiple optical forces using double-hologram interference. Opt. Express 11, 199–207 (2003)

    Article  ADS  Google Scholar 

  • Mochizuki, S., Gu, X., Tanabe, K., Matsutani, A., Ahmed, M., Bakry, A., Koyama, F.: Generation of vortex beam using Bragg reflector waveguide. Appl. Phys. Express 7, 022502 (2014). doi:10.7567/APEX.7.022502

    Article  ADS  Google Scholar 

  • Molina-Terriza, G., Rebane, L., Torres, J.P., Torner, L., Carrasco, S.: Probing canonical geometrical objects by digital spiral imaging. J. Eur. Opt. Soc. Rapid 2, 07014 (2007a). doi:10.2971/jeos.2007.07014

    Article  Google Scholar 

  • Molina-Terriza, G., Torres, J.P., Torner, L.: Twisted photons. Nat. Phys. 3, 305–310 (2007b)

    Article  Google Scholar 

  • Nye, J.F., Berry, M.V.: Dislocations in wave trains. Proc. R. Soc. A 336, 165–190 (1974)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  • Oca, J., Masalo, I.: Flow pattern in aquaculture circular tanks: influence of flow rate, water depth, and water inlet and outlet features. Aquac. Eng. 52, 65–72 (2013)

    Article  Google Scholar 

  • O’Neil, A.T., MacVicar, I., Allen, L., Padgett, M.J.: Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. Phys. Rev. Lett. 88, 053601 (2002). doi:10.1103/PhysRevLett.88.053601

    Article  ADS  Google Scholar 

  • Ostrovsky, A.S., Rickenstorff-Parrao, C., Arrizn, V.: Generation of the perfect optical vortex using a liquid-crystal spatial light modulator. Opt. Lett. 38(4), 534–536 (2013). doi:10.1364/OL.38.000534

    Article  ADS  Google Scholar 

  • Padgett, M.J., Allen, L.: Light with a twist in its tail. Contemp. Phys. 41, 275–285 (2000)

    Article  ADS  Google Scholar 

  • Rafighdoost, J., Sabatyan, A.: Remarkable ability of spiral orthogonal zone plate in generating various focused optical vortices. Opt. Laser Eng. 86, 275–280 (2016)

    Article  Google Scholar 

  • Sabatyan, A., Elahi, L.: FFT-based convolution algorithm for fast and precise numerical evaluating diffracted field by photon sieve. Optik 124, 4960–4962 (2013)

    Article  ADS  Google Scholar 

  • Sabatyan, A., Meshginqalam, B.: Generation of annular beam by a novel class of Fresnel zone plate. Appl. Opt. 53, 5995–6000 (2014)

    Article  ADS  Google Scholar 

  • Sabatyan, A., Balanoji, S.M.T., Balanoji, S.M.T.: Square array optical vortices generated by multi-regioned spiral square zone plate. J. Opt. Soc. Am. A 33, 1793–1797 (2016)

    Article  ADS  Google Scholar 

  • Tamburini, F., Anzollin, G., Umbriaco, G., Bianchini, A., Barbieri, C.: Overcoming the Rayleigh criterion limit with optical vortices. Phys. Rev. Lett. 97, 163903 (2006). doi:10.1103/PhysRevLett.97.163903

    Article  ADS  Google Scholar 

  • Tao, S.H., Yuan, X.C., Lin, J., Burge, R.: Sequence of focused optical vortices generated by a spiral fractal zone plate. Appl. Phys. Lett. 89(3), 031105 (2006). doi:10.1063/1.2226995

    Article  ADS  Google Scholar 

  • Torner, L., Torres, J.P., Carrasco, S.: Digital spiral imaging. Opt. Express 13, 873–881 (2005)

    Article  ADS  Google Scholar 

  • Torres, J.P., Deyanova, Y., Torner, L., Molina-Terriza, G.: Preparation of engineered two-photon entangled states for multidimensional quantum information. Phys. Rev. A 67, 052313 (2003). doi:10.1103/PhysRevA.67.052313

    Article  ADS  Google Scholar 

  • Vaity, P., Rusch, L.: Perfect vortex beam: Fourier transformation of a Bessel beam. Opt. Lett. 40, 597–600 (2015)

    Article  ADS  Google Scholar 

  • Vaziri, A., Weihs, G., Zeilinger, A.: Experimental two-photon, three-dimensional entanglement for quantum communication. Phys. Rev. Lett. 89, 240401 (2002). doi:10.1103/PhysRevLett.89.240401

    Article  ADS  Google Scholar 

  • Xin, J., Lou, X., Zhou, Z., Dong, M., Zhu, L.: Generation of polarization vortex beams by segmented quarter-wave plates. Chin. Opt. Lett. 14, 070501(1)–070501(3) (2016)

    Google Scholar 

  • Yan, H., Zhang, E., Zhao, B., Duan, K.: Free-space propagation of guided optical vortices excited in an annular core fiber. Opt. Express 20, 17904–17915 (2012)

    Article  ADS  Google Scholar 

  • Yao, A.M., Padgett, M.J.: Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photonics 3, 161–204 (2011)

    Article  Google Scholar 

  • Zhang, B., Zhao, D.: Focusing properties of Fresnel zone plates with spiral phase. Opt. Express 18, 12818–12823 (2010a)

    Article  ADS  Google Scholar 

  • Zhang, B., Zhao, D.: Square Fresnel zone plate with spiral phase for generating zero axial irradiance. Opt. Lett. 35, 1488–1490 (2010b)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Physics Department, Faculty of sciences, Urmia University, Urmia, Iran

    A. Sabatyan & Z. Behjat

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  1. A. Sabatyan
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  2. Z. Behjat
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Correspondence to A. Sabatyan.

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Sabatyan, A., Behjat, Z. Radial phase modulated spiral zone plate for generation and manipulation of optical perfect vortex. Opt Quant Electron 49, 371 (2017). https://doi.org/10.1007/s11082-017-1211-4

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