OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 2 — Feb. 1, 2013
  • pp: 233–237

Fractional spiral zone plates

Lai Wei, Yulin Gao, Xianlun Wen, Zongqing Zhao, Leifeng Cao, and Yuqiu Gu  »View Author Affiliations


JOSA A, Vol. 30, Issue 2, pp. 233-237 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000233


View Full Text Article

Enhanced HTML    Acrobat PDF (592 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper, we generalize the concept of classical spiral zone plates (SZPs) to fractional spiral zone plates (FSZPs). By using an SZP with a fractional topological charge and controlling the starting orientation, we can break down the symmetry of the focusing process to give orientation-selective anisotropic vortex foci. Numerical results show that its binary structure gives additional high-order foci on the optical axis and the intensities in the foci can be controlled by properly choosing the fractional topological charge. Our study reveals the feasibility to control the intensity in the foci by means of FSZPs.

© 2013 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics
(050.1965) Diffraction and gratings : Diffractive lenses

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 2, 2012
Revised Manuscript: January 8, 2013
Manuscript Accepted: January 8, 2013
Published: January 30, 2013

Citation
Lai Wei, Yulin Gao, Xianlun Wen, Zongqing Zhao, Leifeng Cao, and Yuqiu Gu, "Fractional spiral zone plates," J. Opt. Soc. Am. A 30, 233-237 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-2-233


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. E. Schausberger, B. Heise, C. Maurer, S. Bernet, M. Ritsch-Marte, and D. Stifter, “Flexible contrast for low-coherence interference microscopy by Fourier-plane filtering with a spatial light modulator,” Opt. Lett. 35, 4154–4156 (2010). [CrossRef]
  2. J. L. Flores and J. A. Ferrari, “Orientation-selective edge detection and enhancement using the irradiance transport equation,” Appl. Opt. 49, 619–624 (2010). [CrossRef]
  3. M. Fak-aim, A. Seanton, and S. Kaitwanidvilai, “Automatic visual inspection of bump in flip chip using edge detection with genetic algorithm,” in the Proceedings of the International Multiconference of Engineers and Computer Scientists 2008 (International Association of Engineers, 2008), Vol. I, pp. 19–21.
  4. G. A. Swartzlander, “Peering into darkness with a vortex spatial filter,” Opt. Lett. 26, 497–499 (2001). [CrossRef]
  5. 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]
  6. J. A. Davis, D. E. McNamara, and D. M. Cottrell, “Image processing with the radial Hilbert transform: theory and experiments,” Opt. Lett. 25, 99–101 (2000). [CrossRef]
  7. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, “Helical-wavefront laser beams produced with a spiral phase plate,” Opt. Commun. 112, 321–327 (1994). [CrossRef]
  8. V. V. Kotlyar, A. A. Almazov, S. N. Khonina, V. A. Soifer, H. Elfstrom, and J. Turunen, “Generation of phase singularity through diffraction of a plane or Gaussian beam by a spiral phase plate,” J. Opt. Soc. Am. A 22, 849–861 (2005). [CrossRef]
  9. V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen, “Diffraction of a plane, finite radius wave by a spiral phase plate,” Opt. Lett. 31, 1597–1599 (2006). [CrossRef]
  10. 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]
  11. D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, “X-ray vortices with high topological charge,” Microelectron. Eng. 83, 1360–1363 (2006). [CrossRef]
  12. J. A. Davis, D. E. McNamara, and D. M. Cottrell, “Analysis of the fractional Hilbert transform,” Appl. Opt. 37, 6911–6913 (1998). [CrossRef]
  13. C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, “Generation of optical vortices with arbitrary shape and array via helical phase spatial filtering,” Opt. Commun. 259, 449–454 (2006). [CrossRef]
  14. S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, “Spiral phase contrast imaging in microscopy,” Opt. Express 13, 689–694 (2005). [CrossRef]
  15. A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Shadow effects in spiral phase contrast microscopy,” Phys. Rev. Lett. 94, 233902 (2005). [CrossRef]
  16. A. G. Peele, K. A. Nugent, and A. P. Mancuso, “X-ray phase vortices: theory and experiment,” J. Opt. Soc. Am. A. 21, 1575–1584 (2004). [CrossRef]
  17. A. Sakdinawat and Y. Liu, “Soft-x-ray microscopy using spiral zone plates,” Opt. Lett. 32, 2635–2637 (2007). [CrossRef]
  18. Z. Jaroszewicz and A. Koodziejczyk, “Zone plates performing generalized Hankel transforms and their metrological applications,” Opt. Commun. 102, 391–396 (1993). [CrossRef]
  19. A. W. Lohmann, “Fractional Hilbert transform,” Opt. Lett. 21, 281–283 (1996). [CrossRef]
  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. M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” J. Opt. A. 6, 259–268(2004). [CrossRef]
  22. N. Zhang, J. A. Davis, I. Moreno, J. Lin, K. Moh, D. M. Cottrell, and X. C. Yuan, “Analysis of fractional vortex beams using a vortex grating spectrum analyzer,” Appl. Opt. 49, 2456–2462 (2010). [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