OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 15 — May. 20, 2011
  • pp: 2204–2210

Focusing of an elliptic vortex beam by a square Fresnel zone plate

Ziyang Chen and Daomu Zhao  »View Author Affiliations

Applied Optics, Vol. 50, Issue 15, pp. 2204-2210 (2011)

View Full Text Article

Enhanced HTML    Acrobat PDF (993 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose a new (to our knowledge) method for performing beam shaping. Calculations show that beam patterns including diamond, rhombus, and hollow beam with diamond-shaped dark core can be generated in the focal plane of a square Fresnel zone plate by choosing appropriate parameters of an incident elliptic vortex beam. Numerical simulations have demonstrated the validity and effectiveness of this method.

© 2011 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(140.3300) Lasers and laser optics : Laser beam shaping
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Lasers and Laser Optics

Original Manuscript: January 7, 2011
Revised Manuscript: March 19, 2011
Manuscript Accepted: March 27, 2011
Published: May 16, 2011

Ziyang Chen and Daomu Zhao, "Focusing of an elliptic vortex beam by a square Fresnel zone plate," Appl. Opt. 50, 2204-2210 (2011)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y. Li, “Light beams with flat-topped profiles,” Opt. Lett. 27, 1007–1009 (2002). [CrossRef]
  2. F. Wang and Y. Cai, “Experimental generation of a partially coherent flat-topped beam,” Opt. Lett. 33, 1795–1797 (2008). [CrossRef] [PubMed]
  3. S. De Silvestri, P. Laporta, V. Magni, and O. Svelto, “Solid-state laser unstable resonators with tapered reflectivity mirrors: The Super-Gaussian Approach,” IEEE J. Quantum Electron. 24, 1172–1177 (1988). [CrossRef]
  4. F. Gori, “Flattened Gaussian beams,” Opt. Commun. 107, 335–341 (1994). [CrossRef]
  5. Y. Li, “Flat-topped light beams with non-circular cross-sections,” J. Mod. Opt. 50, 1957–1966 (2003). [CrossRef]
  6. F. K. Fatemi and M. Bashkansky, “Generation of hollow beams by using a binary spatial light modulator,” Opt. Lett. 31, 864–866 (2006). [CrossRef] [PubMed]
  7. Z. Liu, H. Zhao, J. Liu, J. Lin, M. A. Ahmad, and S. Liu, “Generation of hollow Gaussian beams by spatial filtering,” Opt. Lett. 32, 2076–2078 (2007). [CrossRef] [PubMed]
  8. Y. Song, D. Milam, and W. T. Hill III, “Long, narrow all-light atom guide,” Opt. Lett. 24, 1805–1807 (1999). [CrossRef]
  9. 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] [PubMed]
  10. Q. Zhan and J. R. Leger, “Focus shaping using cylindrical vector beams,” Opt. Express 10, 324–331 (2002). [PubMed]
  11. B. Hao, J. Burch, and J. Leger, “Smallest flattop focus by polarization engineering,” Appl. Opt. 47, 2931–2940 (2008). [CrossRef] [PubMed]
  12. B. Zhang and D. Zhao, “Square Fresnel zone plate with spiral phase for generating zero axial irradiance,” Opt. Lett. 35, 1488–1490 (2010). [CrossRef] [PubMed]
  13. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre-Gaussian Laser modes,” Phys. Rev. A 45, 8185–8189 (1992). [CrossRef] [PubMed]
  14. C. Guo, L. Lu, and H. Wang, “Characterizing topological charge of optical vortices by using an annular aperture,” Opt. Lett. 34, 3686–3688 (2009). [CrossRef] [PubMed]
  15. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Optical vortices generated by multi-level achromatic spiral phase plates for broadband beams,” Opt. Lett. 17, 221–223(1992). [CrossRef] [PubMed]
  16. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristiansen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phase plate,” Opt. Commun. 112, 321–327(1994). [CrossRef]
  17. V. V. Kotlyar, S. N. Khonina, A. A. Almazov, V. A. Soifer, K. Jefimovs, and Jari Turunen, “Elliptic Laguerre–Gaussian beams,” J. Opt. Soc. Am. A 23, 43–56 (2006). [CrossRef]
  18. S. A. Collins, “Lens-system diffraction integral written in terms of matrix optics,” J. Opt. Soc. Am. 60, 1168–1177 (1970). [CrossRef]
  19. L. J. Janicijevic, “Diffraction characteristics of square zone plates,” J. Opt. 13, 199–205 (1982). [CrossRef]
  20. J. Alda, J. M. Rico-Garcia, F. J. Salgado-Remacha, and L. M. Sanchez-Brea, “Diffractive performance of square Fresnel zone plate,” Opt. Commun. 282, 3402–3407 (2009). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited