OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 23 — Aug. 10, 2013
  • pp: 5822–5829

Generation of programmable 3D optical vortex structures through devil’s vortex-lens arrays

Alejandro Calabuig, Sergio Sánchez-Ruiz, Lluís Martínez-León, Enrique Tajahuerce, Mercedes Fernández-Alonso, Walter D. Furlan, Juan A. Monsoriu, and Amparo Pons-Martí  »View Author Affiliations

Applied Optics, Vol. 52, Issue 23, pp. 5822-5829 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (885 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Different spatial distributions of optical vortices have been generated and characterized by implementing arrays of devil’s vortex lenses in a reconfigurable spatial light modulator. A simple design procedure assigns the preferred position and topological charge value to each vortex in the structure, tuning the desired angular momentum. Distributions with charges and momenta of the opposite sign have been experimentally demonstrated. The angular velocity exhibited by the phase distribution around the focal plane has been visualized, showing an excellent agreement with the simulations. The practical limits of the method, with interest for applications involving particle transfer and manipulation, have been evaluated.

© 2013 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(050.1965) Diffraction and gratings : Diffractive lenses
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Diffraction and Gratings

Original Manuscript: May 28, 2013
Revised Manuscript: July 16, 2013
Manuscript Accepted: July 17, 2013
Published: August 8, 2013

Alejandro Calabuig, Sergio Sánchez-Ruiz, Lluís Martínez-León, Enrique Tajahuerce, Mercedes Fernández-Alonso, Walter D. Furlan, Juan A. Monsoriu, and Amparo Pons-Martí, "Generation of programmable 3D optical vortex structures through devil’s vortex-lens arrays," Appl. Opt. 52, 5822-5829 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. T. Gahagan and G. A. Swartzlander, “Optical vortex trapping of particles,” Opt. Lett. 21, 827–829 (1996). [CrossRef]
  2. H. Me, 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, 826–829 (1995). [CrossRef]
  3. F. S. Roux, “Distribution of angular momentum and vortex morphology in optical beams,” Opt. Commun. 242, 45–55 (2004). [CrossRef]
  4. G. Gbur and T. D. Visser, “Phase singularities and coherence vortices in linear optical systems,” Opt. Commun. 259, 428–435 (2006). [CrossRef]
  5. W. M. Lee, X. C. Yuan, and W. C. Cheong, “Optical vortex beam shaping by use of highly efficient irregular spiral phase plates for optical micromanipulation,” Opt. Lett. 29, 1796–1798 (2004). [CrossRef]
  6. G. Saavedra, W. D. Furlan, and J. A. Monsoriu, “Fractal zone plates,” Opt. Lett. 28, 971–973 (2003). [CrossRef]
  7. S. H. Tao, X.-C. Yuan, J. Lin, and R. Burge, “Sequence of focused optical vortices generated by a spiral fractal zone plates,” Appl. Phys. Lett. 89, 031105 (2006). [CrossRef]
  8. W. D. Furlan, F. Giménez, A. Calatayud, and J. A. Monsoriu, “Devil’s vortex-lenses,” Opt. Express 17, 21891–21896 (2009). [CrossRef]
  9. A. Calatayud, J. A. Rodrigo, L. Remón, W. D. Furlan, G. Cristóbal, and J. A. Monsoriu, “Experimental generation and characterization of Devil’s vortex-lenses,” Appl. Phys. B. 106, 915–919 (2012). [CrossRef]
  10. M. Mitry, D. C. Doughty, J. L. Chaloupka, and M. E. Anderson, “Experimental realization of the devil’s vortex Fresnel lens with a programmable spatial light modulator,” Appl. Opt. 51, 4103–4108 (2012). [CrossRef]
  11. S. Vyas and P. Senthikumaran, “Interferometric optical vortex array generador,” Appl. Opt. 46, 2893–2898 (2007). [CrossRef]
  12. I. Moreno, J. A. Davis, D. M. Cottrell, N. Zhang, and X.-C. Yuan, “Encoding generalized phase functions on Dammann gratings,” Opt. Lett. 35, 1536–1538 (2010). [CrossRef]
  13. P. García-Martínez, M. M. Sánchez-López, J. A. Davis, D. M. Cottrell, D. Sand, and I. Moreno, “Generation of Bessel beam arrays through Dammann gratings,” Appl. Opt. 51, 1375–1381 (2012). [CrossRef]
  14. J. Yu, C. Zhou, W. Jia, W. Cao, J. Wu, and S. Wang, “Three-dimensional Dammann vortex array with tunable topological charge,” Appl. Opt. 51, 2485–2490 (2012). [CrossRef]
  15. S.-W. Cho, H. Kim, J. Hahn, and B. Lee, “Generation of multiple vortex-cones by direct phase modulation of annular aperture array,” Appl. Opt. 51, 7295–7302 (2012). [CrossRef]
  16. J. Courtial, R. Zambrini, M. R. Dennis, and M. Vasnetsov, “Angular momentum of optical vortex arrays,” Opt. Express 14, 938–949 (2006). [CrossRef]
  17. K. Ladavac and D. G. Grier, “Micromechanical pump assembled and driven by holographic optical vortices,” Opt. Express 12, 1144–1149 (2004). [CrossRef]
  18. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photon,” Nature 412, 313–316 (2001). [CrossRef]
  19. S. H. Tao, B. C. Yang, H. Xia, and W. X. Yu, “Tailorable three-dimensional distribution of laser foci based on customized fractal zone plates,” Laser Phys. Lett. 10, 035003 (2013). [CrossRef]
  20. B. Ma, B. Yao, Z. Li, M. Lei, S. Yan, P. Gao, D. Dan, and T. Ye, “Generation of three-dimensional optical structures by dynamic holograms displayed on a twisted nematic liquid crystal display,” Appl. Phys. B 110, 531–537 (2013). [CrossRef]
  21. M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, “Optical particle trapping with computer-generated holograms written on a liquid-crystal display,” Opt. Lett. 24, 608–610 (1999). [CrossRef]
  22. J. A. Monsoriu, W. D. Furlan, G. Saavedra, and F. Giménez, “Devil’s lenses,” Opt. Express 15, 13858–13864 (2007). [CrossRef]
  23. D. R. Chalice, “A characterization of the cantor function,” Amer. Math. Monthly 98, 255–258 (1991). [CrossRef]
  24. W. D. Furlan, F. Giménez, A. Calatayud, L. Remón, and J. A. Monsoriu, “Volumetric multiple optical traps produced by devil’s lenses,” J. Eur. Opt. Soc. 5, 100375 (2010). [CrossRef]
  25. J. W. Goodman, Introduction to Fourier Optics, (McGraw-Hill, 1996).
  26. L. Wei, Y. Gao, X. Wen, Z. Zhao, L. Cao, and Y. Gu, “Fractional spiral zone plates,” J. Opt. Soc. Am. A 30, 233–237 (2013). [CrossRef]
  27. D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» Media 1: MOV (3050 KB)     
» Media 2: MOV (3082 KB)     
» Media 3: MOV (3028 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited