Devil’s vortex-lenses
Optics Express, Vol. 17, Issue 24, pp. 21891-21896 (2009)
http://dx.doi.org/10.1364/OE.17.021891
Enhanced HTML
Acrobat PDF (1001 KB)
Abstract
In this paper we present a new kind of vortex lenses in which the radial phase distribution is characterized by the “devil’s staircase” function. The focusing properties of these fractal DOEs coined Devil’s vortex-lenses are analytically studied and the influence of the topological charge is investigated. It is shown that under monochromatic illumination a vortex devil’s lens give rise a focal volume containing a delimited chain of vortices that are axially distributed according to the self-similarity of the lens.
© 2009 OSA
OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics
ToC Category:
Diffraction and Gratings
History
Original Manuscript: June 16, 2009
Revised Manuscript: July 31, 2009
Manuscript Accepted: September 3, 2009
Published: November 16, 2009
Citation
Walter D. Furlan, Fernando Giménez, Arnau Calatayud, and Juan A. Monsoriu, "Devil’s vortex-lenses," Opt. Express 17, 21891-21896 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-24-21891
Sort: Year | Journal | Reset
References
- F. S. Roux, “Distribution of angular momentum and vortex morphology in optical beams,” Opt. Commun. 242(1–3), 45–55 (2004). [CrossRef]
- G. Gbur and T. D. Visser, “Phase singularities and coherence vortices in linear optical systems,” Opt. Commun. 259(2), 428–435 (2006). [CrossRef]
- N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, “Generation of optical phase singularities by computer-generated holograms,” Opt. Lett. 17(3), 221–223 (1992). [CrossRef] [PubMed]
- 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(15), 1796–1798 (2004). [CrossRef] [PubMed]
- 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(3), 031105 (2006). [CrossRef]
- G. Saavedra, W. D. Furlan, and J. A. Monsoriu, “Fractal zone plates,” Opt. Lett. 28(12), 971–973 (2003). [CrossRef] [PubMed]
- J. A. Monsoriu, G. Saavedra, and W. D. Furlan, “Fractal zone plates with variable lacunarity,” Opt. Express 12(18), 4227–4234 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-18-4227 . [CrossRef] [PubMed]
- J. A. Davis, L. Ramirez, J. A. Martín-Romo, T. Alieva, and M. L. Calvo, “Focusing properties of fractal zone plates: experimental implementation with a liquid-crystal display,” Opt. Lett. 29(12), 1321–1323 (2004). [CrossRef] [PubMed]
- 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(11), 2851–2854 (2005). [CrossRef]
- C. Martelli and J. Canning, “Fresnel Fibres with Omnidirectional Zone Cross-sections,” Opt. Express 15(7), 4281–4286 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-7-4281 . [CrossRef] [PubMed]
- F. Giménez, J. A. Monsoriu, W. D. Furlan, and A. Pons, “Fractal photon sieve,” Opt. Express 14(25), 11958–11963 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-11958 . [CrossRef] [PubMed]
- J. A. Monsoriu, W. D. Furlan, G. Saavedra, and F. Giménez, “Devil’s lenses,” Opt. Express 15(21), 13858–13864 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-21-13858 . [CrossRef] [PubMed]
- D. R. Chalice, “A characterization of the Cantor function,” Am. Math. Mon. 98(3), 255–258 (1991). [CrossRef]
- F. Doveil, A. Macor, and Y. Elskens, “Direct observation of a devil’s staircase in wave-particle interaction,” Chaos 16(3), 033103 (2006). [CrossRef] [PubMed]
- M. Hupalo, J. Schmalian, and M. C. Tringides, “Devil’s staircase” in Pb/Si(111) ordered phases,” Phys. Rev. Lett. 90(21), 216106 (2003). [CrossRef] [PubMed]
- Y. F. Chen, T. H. Lu, K. W. Su, and K. F. Huang, “Devil’s staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces,” Phys. Rev. Lett. 96(21), 213902 (2006). [CrossRef] [PubMed]
- D. Wu, L.-G. Niu, Q.-D. Chen, R. Wang, and H.-B. Sun, “High efficiency multilevel phase-type fractal zone plates,” Opt. Lett. 33(24), 2913–2915 (2008). [CrossRef] [PubMed]
- G. A. Swartzlander., “Peering into darkness with a vortex spatial filter,” Opt. Lett. 26(8), 497–499 (2001). [CrossRef] [PubMed]
- K. Crabtree, J. A. Davis, and I. Moreno, “Optical processing with vortex-producing lenses,” Appl. Opt. 43(6), 1360–1367 (2004). [CrossRef] [PubMed]
Cited By |
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.
Multimedia
| Multimedia Files | Recommended Software |
| » Media 1: AVI (1661 KB) | |
| » Media 2: AVI (2233 KB) |





OSA is a member of 