OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 13 — May. 1, 2010
  • pp: 2456–2462

Analysis of fractional vortex beams using a vortex grating spectrum analyzer

Ning Zhang, Jeffrey A. Davis, Ignacio Moreno, Jiao Lin, Ken-Jin Moh, Don M. Cottrell, and Xiaocong Yuan  »View Author Affiliations

Applied Optics, Vol. 49, Issue 13, pp. 2456-2462 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (555 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We demonstrate that an optical vortex with fractional topological charge can be approximated as a linear combination of the two adjacent integer topological charges. This theory is experimentally verified utilizing a vortex grating spectrum analyzer, i.e., a computer-generated hologram with a charge 1 vortex grating. By extracting the intensity value of the center portion of the target diffraction orders, both the number and the sign of the topological charge of any input vortex can be identified and analyzed.

© 2010 Optical Society of America

OCIS Codes
(100.5090) Image processing : Phase-only filters
(230.6120) Optical devices : Spatial light modulators
(350.2770) Other areas of optics : Gratings
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Diffraction and Gratings

Original Manuscript: January 19, 2010
Manuscript Accepted: March 24, 2010
Published: April 23, 2010

Ning Zhang, Jeffrey A. Davis, Ignacio Moreno, Jiao Lin, Ken-Jin Moh, Don M. Cottrell, and Xiaocong Yuan, "Analysis of fractional vortex beams using a vortex grating spectrum analyzer," Appl. Opt. 49, 2456-2462 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. A. M. Dirac, “Quantised singularities in the electromagnetic field,” Proc. R. Soc. London Ser. A  133, 60–72 (1931). [CrossRef]
  2. J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. London Ser. A  336, 165–190 (1974). [CrossRef]
  3. H. He, 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] [PubMed]
  4. K. T. Gahagan and G. A. Swartzlander, Jr, “Optical vortex trapping of particles,” Opt. Lett.  21, 827–829 (1996). [CrossRef] [PubMed]
  5. J. Lin, X. C. Yuan, S. H. Tao, and R. E. Burge, “Multiplexing free-space optical signals using superimposed collinear orbital angular momentum states,” Appl. Opt.  46, 4680–4685 (2007). [CrossRef] [PubMed]
  6. K. J. Moh, X. C. Yuan, J. Bu, D. K. Y. Low, and R. E. Burge, “Direct noninterference cylindrical vector beam generation applied in the femtosecond regime,” Appl. Phys. Lett.  89, 251114–251113 (2006). [CrossRef]
  7. P. Coullet, L. Gil, and F. Rocca, “Optical vortices,” Opt. Commun.  73, 403–408 (1989). [CrossRef]
  8. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phaseplate,” Opt. Commun.  112, 321–327 (1994). [CrossRef]
  9. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett.  17, 221–223 (1992). [CrossRef] [PubMed]
  10. 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]
  11. S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, “The phase rotor filter,” J. Mod. Opt.  39, 1147–1154 (1992). [CrossRef]
  12. J. A. Davis, D. E. McNamara, D. M. Cottrell, and J. Campos, “Image processing with the radial Hilbert transform: theory and experiments,” Opt. Lett.  25, 99–101 (2000). [CrossRef]
  13. S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral phase contrast imaging in microscopy,” Opt. Express  13, 689–694 (2005). [CrossRef] [PubMed]
  14. A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Shadow effects in spiral phase contrast microscopy,” Phys. Rev. Lett.  94, 233902 (2005). [CrossRef] [PubMed]
  15. M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” J. Opt. A: Pure Appl. Opt.  6, 259–268 (2004). [CrossRef]
  16. I. V. Basistiy, V. A. Pas’ko, V. V. Slyusar, M. S. Soskin, and M. V. Vasnetsov, “Synthesis and analysis of optical vortices with fractional topological charges,” J. Opt. A: Pure Appl. Opt.  6, S166–S169 (2004). [CrossRef]
  17. J. Leach, E. Yao, and M. J. Padgett, “Observation of the vortex structure of a non-integer vortex beam,” New J. Phys.  6, 71–78 (2004). [CrossRef]
  18. S. Tao, X. C. Yuan, J. Lin, X. Peng, and H. Niu, “Fractional optical vortex beam induced rotation of particles,” Opt. Express  13, 7726–7731 (2005). [CrossRef] [PubMed]
  19. K. Crabtree, J. A. Davis, and I. Moreno, “Image processing with vortex-producing lenses,” Appl. Opt.  43, 1360–1367 (2004). [CrossRef] [PubMed]
  20. G. Situ, G. Pedrini, and W. Osten, “Spiral phase filtering and orientation-selective edge detection/enhancement,” J. Opt. Soc. Am. A  26, 1788–1797 (2009). [CrossRef]
  21. I. Moreno, J. A. Davis, B. M. L. Pascoguin, M. J. Mitry, and D. M. Cottrell, “Vortex sensing diffraction gratings,” Opt. Lett.  34, 2927–2929 (2009). [CrossRef] [PubMed]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited