Skip to main content
Top
Published in: Optical and Quantum Electronics 4/2023

01-04-2023

Cosine-type apodized spiral zone plate to handle the topological charge of a vortex beam

Authors: Seyyed Mojtaba Taheri Balanoji, Arash Sabatyan, Behnaz Javidi Rishakani

Published in: Optical and Quantum Electronics | Issue 4/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

By taking advantage of spiral petal-like zone plates, we have recently demonstrated that a spiral element’s geometric shape impacts its charge. Keeping it in mind, we aim to control the topological charge of a vortex using phase modification of a spiral zone plate without transforming its geometrical shape. This is achieved by apodizing a spiral zone plate having p spiral zones with a radial grating with spatial frequency m. Having implemented some gratings with different m, we realized that an optical vortex is produced whose topological charge and its handedness depend on p and m. Consequently, a constant phase replaces on-axis screw dislocation under the situation that p takes odd multiples of m. Studies are carried out for large and small pairs of (pm) and various gaps between the couple.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Brasselet, E.: Optical vortices from closed-loop subwavelength slits. Opt. Lett. 38, 2575–2577 (2013)ADSCrossRef Brasselet, E.: Optical vortices from closed-loop subwavelength slits. Opt. Lett. 38, 2575–2577 (2013)ADSCrossRef
go back to reference Brasselet, E., Gervinskas, G., Seniutinas, G., Juodkazis, S.: Topological shaping of light by closed-path nanoslits. Phys. Rev. Lett. 111, 193901 (2013)ADSCrossRef Brasselet, E., Gervinskas, G., Seniutinas, G., Juodkazis, S.: Topological shaping of light by closed-path nanoslits. Phys. Rev. Lett. 111, 193901 (2013)ADSCrossRef
go back to reference Cheong, W.C., Lee, W.M., Yuan, X.C., Zhang, L.S., Dholakia, K., Wang, H.: Direct electron-beam writing of continuous spiral phase plates in negative resist with high power efficiency for optical manipulation. Appl. Phys. Lett. 85, 5784–5786 (2004)ADSCrossRef Cheong, W.C., Lee, W.M., Yuan, X.C., Zhang, L.S., Dholakia, K., Wang, H.: Direct electron-beam writing of continuous spiral phase plates in negative resist with high power efficiency for optical manipulation. Appl. Phys. Lett. 85, 5784–5786 (2004)ADSCrossRef
go back to reference Courtial, J., Padgett, M.J.: Performance of a cylindrical lens mode converter for producing Laguerre Gaussian laser modes. Opt. Commun. 159, 13–18 (1999)ADSCrossRef Courtial, J., Padgett, M.J.: Performance of a cylindrical lens mode converter for producing Laguerre Gaussian laser modes. Opt. Commun. 159, 13–18 (1999)ADSCrossRef
go back to reference Curtis, J.E., Grier, D.G.: Structure of optical vortices. Phys. Rev. Lett. 90, 133901 (2003)ADSCrossRef Curtis, J.E., Grier, D.G.: Structure of optical vortices. Phys. Rev. Lett. 90, 133901 (2003)ADSCrossRef
go back to reference Ebrahimi, H., Sabatyan, A.: Multi-region spiral photon sieve to produce tailorable multiple vortex. Opt. Laser Technol. 126, 106137 (2020)CrossRef Ebrahimi, H., Sabatyan, A.: Multi-region spiral photon sieve to produce tailorable multiple vortex. Opt. Laser Technol. 126, 106137 (2020)CrossRef
go back to reference Ebrahimi, H., Sabatyan, A.: Focusing properties of composite spiral photon sieve. Opt. Commun. 490, 126910 (2021)CrossRef Ebrahimi, H., Sabatyan, A.: Focusing properties of composite spiral photon sieve. Opt. Commun. 490, 126910 (2021)CrossRef
go back to reference Golbandi, M., Sabatyan, A.: Controlling and shaping topological charge by means of spiral petal-like zone plate. Opt. Laser Technol. 26, 5995–6000 (2021) Golbandi, M., Sabatyan, A.: Controlling and shaping topological charge by means of spiral petal-like zone plate. Opt. Laser Technol. 26, 5995–6000 (2021)
go back to reference Grigorea, O.V., Craciun, A.: Method for exploring the topological charge and shape of an optical vortex generated by a spiral phase plate. Opt. Laser Technol. 141, 107098 (2021)CrossRef Grigorea, O.V., Craciun, A.: Method for exploring the topological charge and shape of an optical vortex generated by a spiral phase plate. Opt. Laser Technol. 141, 107098 (2021)CrossRef
go back to reference He, B., Fan, J., Cheng, Y., Chen, F., Luo, H., Gong, R.: Thermally tunable terahertz vortex beam generator based on an InSb metasurface. J. Opt. Soc. Am. B 38, 1518–1524 (2021)ADSCrossRef He, B., Fan, J., Cheng, Y., Chen, F., Luo, H., Gong, R.: Thermally tunable terahertz vortex beam generator based on an InSb metasurface. J. Opt. Soc. Am. B 38, 1518–1524 (2021)ADSCrossRef
go back to reference Huang, S., Miao, Z., He, C., Pang, F., Li, Y., Wang, T.: Composite vortex beams by coaxial superposition of Laguerre–Gaussian beams. Opt. Lasers Eng. 78, 132–139 (2016)CrossRef Huang, S., Miao, Z., He, C., Pang, F., Li, Y., Wang, T.: Composite vortex beams by coaxial superposition of Laguerre–Gaussian beams. Opt. Lasers Eng. 78, 132–139 (2016)CrossRef
go back to reference Huang, Z., Kong, W., Kuang, D.: Arrangement of micro dielectric particles with vector vortex beam generated by dual-helical dielectric cone. IEEE J. Sel. Top. Quantum Electron. 27, 1–8 (2021) Huang, Z., Kong, W., Kuang, D.: Arrangement of micro dielectric particles with vector vortex beam generated by dual-helical dielectric cone. IEEE J. Sel. Top. Quantum Electron. 27, 1–8 (2021)
go back to reference Jana, K., Herperger, K.R., Kong, F., Mi, Y., Zhang, C., Corkum, P.B., Sederberg, S.: ’Reconfigurable electronic circuits for magnetic fields controlled by structured light. Nat. Photon. 15, 622–626 (2021)ADSCrossRef Jana, K., Herperger, K.R., Kong, F., Mi, Y., Zhang, C., Corkum, P.B., Sederberg, S.: ’Reconfigurable electronic circuits for magnetic fields controlled by structured light. Nat. Photon. 15, 622–626 (2021)ADSCrossRef
go back to reference Jin, J., Pu, M., Wang, Y., Li, X., Ma, X., Luo, J., Zhao, Z., Gao, P., Luo, X.: Multi-channel vortex beam generation by simultaneous amplitude and phase modulation with two-dimensional metamaterial. Adv. Mater. Technol. 2, 1600201 (2017)CrossRef Jin, J., Pu, M., Wang, Y., Li, X., Ma, X., Luo, J., Zhao, Z., Gao, P., Luo, X.: Multi-channel vortex beam generation by simultaneous amplitude and phase modulation with two-dimensional metamaterial. Adv. Mater. Technol. 2, 1600201 (2017)CrossRef
go back to reference Kotlyar, V.V., et al.: Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate. J. Opt. Soc. Am. A 22, 849–861 (2005)ADSMathSciNetCrossRef Kotlyar, V.V., et al.: Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate. J. Opt. Soc. Am. A 22, 849–861 (2005)ADSMathSciNetCrossRef
go back to reference Kumar, V., Viswanathan, N.K.: Topological structures in the Poynting vector field: an experimental realization. Opt. Lett. 38, 3886–3889 (2013)ADSCrossRef Kumar, V., Viswanathan, N.K.: Topological structures in the Poynting vector field: an experimental realization. Opt. Lett. 38, 3886–3889 (2013)ADSCrossRef
go back to reference Molina-Terriza, G., Rebane, L., Torres, J.P., Torner, L., Carrasco, S.: Probing canonical geometrical objects by digital spiral imaging. J. Eur. Opt. Soc. 2, 07014 (2007)CrossRef Molina-Terriza, G., Rebane, L., Torres, J.P., Torner, L., Carrasco, S.: Probing canonical geometrical objects by digital spiral imaging. J. Eur. Opt. Soc. 2, 07014 (2007)CrossRef
go back to reference Nicolas, A., Veissier, L., Giner, L., Giacobino, E., Maxein, D., LauratNicolas, J.: A quantum memory for orbital angular momentum photonic qubits. Nat Photon. 8, 234–238 (2014)ADSCrossRef Nicolas, A., Veissier, L., Giner, L., Giacobino, E., Maxein, D., LauratNicolas, J.: A quantum memory for orbital angular momentum photonic qubits. Nat Photon. 8, 234–238 (2014)ADSCrossRef
go back to reference Nuter, R., Korneev, P., Thiele, I., Tikhonchuk, V.: Plasma solenoid driven by a laser beam carrying an orbital angular momentum. Phys. Rev. E 98, 033211 (2018)ADSCrossRef Nuter, R., Korneev, P., Thiele, I., Tikhonchuk, V.: Plasma solenoid driven by a laser beam carrying an orbital angular momentum. Phys. Rev. E 98, 033211 (2018)ADSCrossRef
go back to reference Oca, J., Masalo, I.: Flow pattern in aquaculture circular tanks: influence of flow rate, water depth, and water inlet and outlet features. Aquacult. Eng. 52, 65–72 (2013)CrossRef Oca, J., Masalo, I.: Flow pattern in aquaculture circular tanks: influence of flow rate, water depth, and water inlet and outlet features. Aquacult. Eng. 52, 65–72 (2013)CrossRef
go back to reference 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)ADSCrossRef 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)ADSCrossRef
go back to reference Pan, W.M., Li, J.S.: Diversified functions for a terahertz metasurface with a simple structure. Opt. Express 29, 12918–12929 (2021)ADSCrossRef Pan, W.M., Li, J.S.: Diversified functions for a terahertz metasurface with a simple structure. Opt. Express 29, 12918–12929 (2021)ADSCrossRef
go back to reference Sabatyan, A.: Comprehensive focusing analysis of bi-segment spiral zone plate in producing a variety of structured light beams. J. Opt. Soc. Am. B 36, 3111–3116 (2019)ADSCrossRef Sabatyan, A.: Comprehensive focusing analysis of bi-segment spiral zone plate in producing a variety of structured light beams. J. Opt. Soc. Am. B 36, 3111–3116 (2019)ADSCrossRef
go back to reference Sabatyan, A., Elahi, L.: FFT-based convolution algorithm for fast and precise numerical evaluating diffracted field by photon sieve. Optik 124, 4960–4962 (2013)ADSCrossRef Sabatyan, A., Elahi, L.: FFT-based convolution algorithm for fast and precise numerical evaluating diffracted field by photon sieve. Optik 124, 4960–4962 (2013)ADSCrossRef
go back to reference Sabatyan, A., Fatehi, M.: Azimuthal-segmented linear zone plate: 1D beam structuring and topological charge detecting. J. Opt. Soc. Am. B 35, 1747–1753 (2018)ADSCrossRef Sabatyan, A., Fatehi, M.: Azimuthal-segmented linear zone plate: 1D beam structuring and topological charge detecting. J. Opt. Soc. Am. B 35, 1747–1753 (2018)ADSCrossRef
go back to reference Sabatyan, A., Rafighdoost, J.: Azimuthal phase-shifted zone plates to produce petal-like beams and ring lattice structures. J. Opt. Soc. Am. B 34, 919–923 (2017)ADSCrossRef Sabatyan, A., Rafighdoost, J.: Azimuthal phase-shifted zone plates to produce petal-like beams and ring lattice structures. J. Opt. Soc. Am. B 34, 919–923 (2017)ADSCrossRef
go back to reference Sabatyan, A., Balanoji, S.M.T., Balanoji, S.M.T.: Square array of optical vortices generated by multiregion spiral square zone plate. J. Opt. Soc. Am. A 33(9), 1793–1797 (2016)ADSCrossRef Sabatyan, A., Balanoji, S.M.T., Balanoji, S.M.T.: Square array of optical vortices generated by multiregion spiral square zone plate. J. Opt. Soc. Am. A 33(9), 1793–1797 (2016)ADSCrossRef
go back to reference Sanchez-Padilla, B., Žukauskas, A., Aleksanyan, A., Balčytis, A., Malinauskas, M., Juodkazis, S., Brasselet, E.: Wrinkled axicons: shaping light from cusps. Opt. Express 24, 24075–24082 (2016)ADSCrossRef Sanchez-Padilla, B., Žukauskas, A., Aleksanyan, A., Balčytis, A., Malinauskas, M., Juodkazis, S., Brasselet, E.: Wrinkled axicons: shaping light from cusps. Opt. Express 24, 24075–24082 (2016)ADSCrossRef
go back to reference Sederberg, S., Kong, F., Corkum, P.B.: Tesla-scale terahertz magnetic impulses. Phys. Rev. X 10, 011063 (2020a) Sederberg, S., Kong, F., Corkum, P.B.: Tesla-scale terahertz magnetic impulses. Phys. Rev. X 10, 011063 (2020a)
go back to reference Sederberg, S., Kong, F., Hufnagel, F., Zhang, C., Karimi, E., Corkum, P.B.: Vectorized optoelectronic control and metrology in a semiconductor. Nat. Photon. 14, 680–685 (2020b) Sederberg, S., Kong, F., Hufnagel, F., Zhang, C., Karimi, E., Corkum, P.B.: Vectorized optoelectronic control and metrology in a semiconductor. Nat. Photon. 14, 680–685 (2020b)
go back to reference Shi, Y., Vieira, J., Trines, R.M.G.M., Bingham, R., Shen, B.F., Kingham, R.J.: Magnetic field generation in plasma waves driven by copropagating intense twisted lasers. Phys. Rev. Lett. 121, 145002 (2018)ADSCrossRef Shi, Y., Vieira, J., Trines, R.M.G.M., Bingham, R., Shen, B.F., Kingham, R.J.: Magnetic field generation in plasma waves driven by copropagating intense twisted lasers. Phys. Rev. Lett. 121, 145002 (2018)ADSCrossRef
go back to reference Taheri Balanoji, S.M., Sabatyan, A.: Realizing a Gauss hypergeometric beam described as \(_{2}F_{1} (a, b, c; x2)\) by Bessel spiral zone plate. J. Opt. Soc. Am. B 35, 2667–2673 (2018)ADSCrossRef Taheri Balanoji, S.M., Sabatyan, A.: Realizing a Gauss hypergeometric beam described as \(_{2}F_{1} (a, b, c; x2)\) by Bessel spiral zone plate. J. Opt. Soc. Am. B 35, 2667–2673 (2018)ADSCrossRef
go back to reference Taheri Balanoji, S.M., Sabatyan, A.: Potential of Bessel spiral zone plate in complex beam shaping and structuring. J. Opt. Soc. Am. B 36, 3333–3340 (2019)ADSCrossRef Taheri Balanoji, S.M., Sabatyan, A.: Potential of Bessel spiral zone plate in complex beam shaping and structuring. J. Opt. Soc. Am. B 36, 3333–3340 (2019)ADSCrossRef
go back to reference Tamburini, F., Anzolin, G., Umbriaco, G., Bianchini, A., Barbieri, C.: Overcoming the Rayleigh criterion limit with optical vortices. Phys. Rev. Lett. 97, 163903 (2006)ADSCrossRef Tamburini, F., Anzolin, G., Umbriaco, G., Bianchini, A., Barbieri, C.: Overcoming the Rayleigh criterion limit with optical vortices. Phys. Rev. Lett. 97, 163903 (2006)ADSCrossRef
go back to reference Tian, B., Yu, J., Zhang, B.: A method for generating \(LG_{0l}\) vortex beams with tunable topological charges based on tube lasers. Opt. Commun. 491, 126939 (2021)CrossRef Tian, B., Yu, J., Zhang, B.: A method for generating \(LG_{0l}\) vortex beams with tunable topological charges based on tube lasers. Opt. Commun. 491, 126939 (2021)CrossRef
go back to reference Torner, L., Torres, J.P., Carrasco, S.: Digital spiral imaging. Opt. Express 13, 873–881 (2005)ADSCrossRef Torner, L., Torres, J.P., Carrasco, S.: Digital spiral imaging. Opt. Express 13, 873–881 (2005)ADSCrossRef
go back to reference Tsuj, T., Nakatsuka, R., Nakajima, K., Doi, K., Kawano, S.: Effect of hydrodynamic inter-particle interaction on the orbital motion of dielectric nanoparticles driven by an optical vortex. Nanoscale 12, 6673 (2020)CrossRef Tsuj, T., Nakatsuka, R., Nakajima, K., Doi, K., Kawano, S.: Effect of hydrodynamic inter-particle interaction on the orbital motion of dielectric nanoparticles driven by an optical vortex. Nanoscale 12, 6673 (2020)CrossRef
go back to reference Weber, H.J., Arfken, G.B.: Essential Mathematical Methods for Physicists, 6th edn. Academic, Singapore (2003)MATH Weber, H.J., Arfken, G.B.: Essential Mathematical Methods for Physicists, 6th edn. Academic, Singapore (2003)MATH
go back to reference Wu, D., Wang, J.W.: Magetostatic amplifier with tunable maximum by twisted-light plasma interactions. Plasma Phys. Controll. Fusion 59, 095010 (2017)ADSCrossRef Wu, D., Wang, J.W.: Magetostatic amplifier with tunable maximum by twisted-light plasma interactions. Plasma Phys. Controll. Fusion 59, 095010 (2017)ADSCrossRef
go back to reference Xie, Z., Lei, T., Li, F., Qiu, H., Zhang, Z., Wang, H., Min, C., Du, L., Li, Z., Yuan, X.: Ultra-broadband on-chip twisted light emitter for optical communications. Light Sci. Appl. 7, 18001 (2018)ADSCrossRef Xie, Z., Lei, T., Li, F., Qiu, H., Zhang, Z., Wang, H., Min, C., Du, L., Li, Z., Yuan, X.: Ultra-broadband on-chip twisted light emitter for optical communications. Light Sci. Appl. 7, 18001 (2018)ADSCrossRef
Metadata
Title
Cosine-type apodized spiral zone plate to handle the topological charge of a vortex beam
Authors
Seyyed Mojtaba Taheri Balanoji
Arash Sabatyan
Behnaz Javidi Rishakani
Publication date
01-04-2023
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 4/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-04591-5

Other articles of this Issue 4/2023

Optical and Quantum Electronics 4/2023 Go to the issue