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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 8 — Aug. 1, 2010
  • pp: 1851–1855

Multifractal zone plates

Fernando Giménez, Walter D. Furlan, Arnau Calatayud, and Juan A. Monsoriu  »View Author Affiliations

JOSA A, Vol. 27, Issue 8, pp. 1851-1855 (2010)

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We present multifractal zone plates (MFZPs) as what is to our knowledge a new family of diffractive lenses whose structure is based on the combination of fractal zone plates (FZPs) of different orders. The typical result is a composite of two FZPs with the central one having a first-order focal length f surrounded by outer zones with a third-order focal length f. The focusing properties of different members of this family are examined and compared with conventional composite Fresnel zone plates. It is shown that MFZPs improve the axial resolution and also give better performance under polychromatic illumination.

© 2010 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics

ToC Category:
Diffraction and Gratings

Original Manuscript: April 14, 2010
Revised Manuscript: June 13, 2010
Manuscript Accepted: June 13, 2010
Published: July 26, 2010

Fernando Giménez, Walter D. Furlan, Arnau Calatayud, and Juan A. Monsoriu, "Multifractal zone plates," J. Opt. Soc. Am. A 27, 1851-1855 (2010)

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  1. J.Ojeda-Castañeda and C.Gómez-Reino, eds., Selected Papers on Zone Plates (SPIE Optical Engineering, 1996).
  2. S. Wang and X. Zhang, “Terahertz tomographic imaging with a Fresnel lens,” Opt. Photonics News 13, 59 (2002). [CrossRef]
  3. Y. Wang, W. Yun, and C. Jacobsen, “Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging,” Nature 424, 50–53 (2003). [CrossRef] [PubMed]
  4. L. Kipp, M. Skibowski, R. L. Johnson, R. Berndt, R. Adelung, S. Harm, and R. Seemann, “Sharper images by focusing soft x-rays with photon sieves,” Nature 414, 184–188 (2001). [CrossRef] [PubMed]
  5. G. Andersen, “Large optical photon sieve,” Opt. Lett. 30, 2976–2978 (2005). [CrossRef] [PubMed]
  6. R. Hyde, “Eyeglass. 1. Very large aperture diffractive telescopes,” Appl. Opt. 38, 4198–4212 (1999). [CrossRef]
  7. R. Menon, D. Gil, G. Barbastathis, and H. Smith, “Photon sieve lithography,” J. Opt. Soc. Am. A 22, 342–345 (2005). [CrossRef]
  8. E. H. Anderson, V. Boegli, and L. P. Muray, “Electron beam lithography digital pattern generator and electronics for generalized curvilinear structures,” J. Vac. Sci. Technol. B 13, 2529–2534 (1995). [CrossRef]
  9. E. H. Anderson, D. L. Olynick, B. Harteneck, E. Veklerov, G. Denbeaux, W. Chao, A. Lucero, L. Johnson, and D. Attwood, “Nanofabrication and diffractive optics for high resolution x-ray applications,” J. Vac. Sci. Technol. B 18, 2970–2975 (2000). [CrossRef]
  10. M. J. Simpson and A. G. Michette, “Imaging properties of modified Fresnel zone plates,” Opt. Acta 31, 403–413 (1984). [CrossRef]
  11. Q. Cao and J. Jahns, “Modified Fresnel zone plates that produce sharp Gaussian focal spots,” J. Opt. Soc. Am. A 20, 1576–1581 (2003). [CrossRef]
  12. G. Saavedra, W. D. Furlan, and J. A. Monsoriu, “Fractal zone plates,” Opt. Lett. 28, 971–973 (2003). [CrossRef] [PubMed]
  13. J. A. Davis, L. Ramirez, J. A. Rodrigo Martín-Romo, T. Alieva, and M. L. Calvo, “Focusing properties of fractal zone plates: experimental implementation with a liquid-crystal display,” Opt. Lett. 29, 1321–1323 (2004). [CrossRef] [PubMed]
  14. H.-T. Dai, X. Wang, and K.-S. Xu, “Focusing properties of fractal zone plates with variable lacunarity: experimental studies based on liquid crystal on silicon,” Chin. Phys. Lett. 22, 2851–2854 (2005). [CrossRef]
  15. Y. J. Liu, H. T. Dai, X. W. Sun, and T. J. Huang, “Electrically switchable phase-type fractal zone plates and fractal photon sieves,” Opt. Express 17, 12418–12423 (2009). [CrossRef] [PubMed]
  16. 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]
  17. W. D. Furlan, G. Saavedra, and J. A. Monsoriu, “White-light imaging with fractal zone plates,” Opt. Lett. 32, 2109–2111 (2007). [CrossRef] [PubMed]
  18. D. Wu, L.-G. Niu, Q.-D. Chen, R. Wan, and H.-B. Sun, “High efficiency multilevel phase-type fractal zone plates,” Opt. Lett. 33, 2913–2915 (2008). [CrossRef] [PubMed]
  19. J. A. Monsoriu, G. Saavedra, and W. D. Furlan, “Fractal zone plates with variable lacunarity,” Opt. Express 12, 4227–4234 (2004). [CrossRef] [PubMed]
  20. F. Giménez, J. A. Monsoriu, W. D. Furlan, and A. Pons, “Fractal photon sieves,” Opt. Express 14, 11958–11963 (2006). [CrossRef] [PubMed]
  21. J. A. Monsoriu, W. D. Furlan, G. Saavedra, and F. Giménez, “Devil’s lenses,” Opt. Express 15, 13858–13864 (2007). [CrossRef] [PubMed]
  22. O. Mendoza-Yero, M. Fernández-Alonso, G. Mínguez-Vega, J. Láncis, V. Climent, and J. A. Monsoriu, “Fractal generalized zone plates,” J. Opt. Soc. Am. A 26, 1161–1166 (2009). [CrossRef]
  23. W. D. Furlan, F. Giménez, A. Calatayud, and J. A. Monsoriu, “Devil’s vortex-lenses,” Opt. Express 17, 21891–21896 (2009). [CrossRef] [PubMed]
  24. M. J. Yzuel and J. Santamaria, “Polychromatic optical image. Diffraction limited system and influence of the longitudinal chromatic aberration,” Opt. Acta 22, 673–690 (1975). [CrossRef]

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