OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 7 — Mar. 1, 2012
  • pp: 994–999

Circular Dammann grating under high numerical aperture focusing

Junjie Yu, Changhe Zhou, Wei Jia, Anduo Hu, Shaoqing Wang, and Jianyong Ma  »View Author Affiliations


Applied Optics, Vol. 51, Issue 7, pp. 994-999 (2012)
http://dx.doi.org/10.1364/AO.51.000994


View Full Text Article

Enhanced HTML    Acrobat PDF (498 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Circular Dammann grating (CDG) under high numerical aperture (NA) focusing is described based on Richards–Wolf vectorial diffraction theory in this paper. Several CDGs are presented under the condition of NA=0.9 with the illumination of circularly polarized plane-wave laser beams. Numerical results show that the sizes of these circular patterns with equal-intensity are in the wavelength scale, and doughnut-shaped central spots and dark rings are in the subwavelength width. To verify this kind of CDG, a binary pure-phase three-order CDG is fabricated to produce a dark center pattern surrounded by three concentric bright rings. The corresponding intensity distribution of the pattern on the focal plane of a high-NA objective (NA=0.9) is measured, and the results agree well with theoretical simulations. This kind of CDG with annular patterns of equal-intensity in the wavelength scale should be highly interesting for its potential applications in optical trapping, stimulated emission depletion (STED) microscopy, and the study of singular optics, as well as annular array illumination.

© 2012 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(230.1360) Optical devices : Beam splitters

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 7, 2011
Manuscript Accepted: December 14, 2011
Published: March 1, 2012

Citation
Junjie Yu, Changhe Zhou, Wei Jia, Anduo Hu, Shaoqing Wang, and Jianyong Ma, "Circular Dammann grating under high numerical aperture focusing," Appl. Opt. 51, 994-999 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-7-994


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. Dammann and E. Klotz, “Coherent optical generation and inspection of two-dimensional periodic structures,” Opt. Acta 24, 505–515 (1977). [CrossRef]
  2. C. Zhou and L. Liu, “Numerical study of Dammann array illuminators,” Appl. Opt. 34, 5961–5969 (1995). [CrossRef]
  3. C. Zhou, J. Jia, and L. Liu, “Circular Dammann grating,” Opt. Lett. 28, 2174–2176 (2003). [CrossRef]
  4. S. Zhao and P. S. Chung, “Design of a circular Dammann grating,” Opt. Lett. 31, 2387–2389 (2006). [CrossRef]
  5. F. J. Wen, S. Y. Law, and P. S. Chung, “Design of circular Dammann gratings by employing the circular spot rotation method,” Appl. Opt. 46, 5452–5455 (2007). [CrossRef]
  6. F. J. Wen and P. S. Chung, “A new circular Dammann grating using a Hankel transform,” J. Opt. A 10, 075306 (2008). [CrossRef]
  7. F. J. Wen and P. S. Chung, “Use of the circular Dammann grating in angle measurement,” Appl. Opt. 47, 5197–5200 (2008). [CrossRef]
  8. F. J. Wen, Z. Chen, and P. S. Chung, “Area measurement at long-distance using a circular Dammann grating,” Appl. Opt. 49, 648–652 (2010). [CrossRef]
  9. S. Zhao, J. F. Wen, and P. S. Chung, “Simple focal-length measurement technique with a circular Dammann grating,” Appl. Opt. 46, 44–49 (2007). [CrossRef]
  10. S. Zhao and P. S. Chung, “Collimation testing using a circular Dammann grating,” Opt. Commun. 279, 51–56 (2007). [CrossRef]
  11. K. B. Doh, K. Dobson, T.-C. Poon, and P. S. Chung, “Optical image coding with a circular Dammann grating,” Appl. Opt. 48, 134–139 (2009). [CrossRef]
  12. Y. Shinoda, J.-P. Liu, P. S. Chung, K. Dobson, X. Zhou, and T.-C. Poon, “Three-dimensional complex image coding using a circular Dammann grating,” Appl. Opt. 50, B38–B45(2011). [CrossRef]
  13. U. Levy, B. Desiatov, I. Goykhman, T. Nachmias, A. Ohayon, and S. E. Meltzer, “Design, fabrication, and characterization of circular Dammann gratings based on grayscale lithography,” Opt. Lett. 35, 880–882 (2010). [CrossRef]
  14. D. Luo, X. Sun, H. Dai, and H. Demir, “Polarization-dependent circular Dammann grating made of azo-dye-doped liquid crystals,” Appl. Opt. 50, 2316–2321 (2011). [CrossRef]
  15. R. Kant, “An analytical solution of vector diffraction for focusing optical systems,” J. Mod. Opt. 40, 337–347(1993). [CrossRef]
  16. A. N. Grigorenko, N. W. Roberts, M. R. Dickinson, and Y. Zhang, “Nanometric optical tweezers based on nanostructured substrates,” Nat. Photon. 2, 365–370 (2008). [CrossRef]
  17. S. W. Hell and J. Wichmann, “Breaking the diffraction resolution limit by stimulated emission: stimulated emission depletion microscopy,” Opt. Lett. 19, 780–782 (1994). [CrossRef]
  18. T. F. Scott, B. A. Kowalski, A. C. Sullivan, C. N. Bowman, and R. R. McLeod, “Two-color single-photon photoinitiation and photoinhibition for subdiffraction photolithography,” Science 324, 913–917 (2009). [CrossRef]
  19. D. W. Diehl and T. D. Visser, “Phase singularities of the longitudinal field components in the focal region of a high-aperture optical system,” J. Opt. Soc. Am. A 21, 2103–2108 (2004). [CrossRef]
  20. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. A 253, 358–379 (1959). [CrossRef]
  21. W. Wang, C. Zhou, and W. Jia, “High-fidelity replication of Dammann gratings using soft lithography,” Appl. Opt. 47, 1427–1429 (2008). [CrossRef]
  22. J. Yu, C. Zhou, and W. Jia, “Transverse superresolution with extended depth of focus using binary phase filters for optical storage system,” Opt. Commun. 283, 4171–4177 (2010). [CrossRef]
  23. J. Yu, C. Zhou, W. Jia, and A. Hu, “Focal shift and axial dispersion of binary pure-phase filters in focusing systems,” Proc. SPIE 7848, 784815 (2010). [CrossRef]
  24. H. Luo, C. Zhou, and H. Zou, “Highly sensitive wave-front sensor with a non-zero-order phase plate,” Appl. Opt. 44, 4654–4658 (2005). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited