OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 26 — Dec. 24, 2007
  • pp: 17842–17854

Three dimensional analysis of chromatic aberration in diffractive elements with extended depth of focus

D. Mas, J. Espinosa, J. Perez, and C. Illueca  »View Author Affiliations

Optics Express, Vol. 15, Issue 26, pp. 17842-17854 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (225 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The paper presents the polychromatic analysis of two diffractive optical elements with extended depth of focus: the linear axicon and the light sword optical element. Chromatic aberration produces axial displacement of the focal segment line. Thus, we explore the possibility of extending the focal depth of these elements to permit superposition of the chromatic foci. In the case of an axicon, we achieve an achromatic zone where focusing is produced. In the case of the light sword element, we show that the focusing segment is out of axis. Therefore a superposition of colors is produced, but not on axis overlapping. Instead, three colored and separated foci are simultaneously obtained in a single plane. Three dimensional structures of the propagated beams are analyzed in order to provide better understanding of the properties and applications of such elements.

© 2007 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(110.4100) Imaging systems : Modulation transfer function
(120.3620) Instrumentation, measurement, and metrology : Lens system design

ToC Category:
Diffraction and Gratings

Original Manuscript: August 29, 2007
Revised Manuscript: October 17, 2007
Manuscript Accepted: October 26, 2007
Published: December 13, 2007

David Mas, J. Espinosa, J. Perez, and C. Illueca, "Three dimensional analysis of chromatic aberration in diffractive elements with extended depth of focus," Opt. Express 15, 17842-17854 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Sochacki, A. Kolodziejczyk, Z. Jaroszewicz, and S. Bara, "Non paraxial design of generalized axicons," Appl. Opt. 31, 5326-5330 (1992). [CrossRef] [PubMed]
  2. A. Kolodziejczyk, S. Bara, Z. Jaroszewicz, and M. Sypek, "The light sword optical element -a new diffraction structure with extended depth of focus," J. Mod. Opt. 37, 1283-1286 (1990). [CrossRef]
  3. Z. Jaroszewicz and J. Morales, "Lens axicons: systems composed of a diverging aberrated lens and a converging aberrated lens," J. Opt. Soc. Am. A 16, 191-197 (1999). [CrossRef]
  4. A. Burvall, K. Kolacz, Z. Jaroszewicz, and A. Friberg, "Simple lens axicon," Appl. Opt. 43, 4838-4844 (2004). [CrossRef] [PubMed]
  5. A. Flores, M. Wang, and J. J. Yang, "Achromatic hybrid refractive-diffractive lens with extended focal length," Appl. Opt. 43, 5618-5630 (2004). [CrossRef] [PubMed]
  6. J. Monsoriu, W. Furlan, P. Andres, and J. Lancis, "Fractal conical lenses," Opt. Express 14, 9077-9082 (2006). [CrossRef] [PubMed]
  7. C. Iemmi, J. Campos, J. C. Escalera, O. Lopez-Coronado, R. Gimeno, and M. J. Yzuel, "Depth of focus increase by multiplexing programmable diffractive lenses," Opt. Express 14, 10207-10217 (2006). [CrossRef] [PubMed]
  8. J. Leach, G. M. Gibson, M. Padgett, E. Exposito, G. McConell, A. J. Wright, and J. M. Girkin, "Generation of achromatic Bessel beams using a compensated spatial light modulator," Opt. Express 14, 5581-5587 (2006), [CrossRef] [PubMed]
  9. I. Golub, "Fresnel axicon," Opt. Lett. 31, 1890-1892 (2006). [CrossRef] [PubMed]
  10. Z. Zalevski and S. Ben-Yaish, "Extended depth of focus imaging with birefringent plate," Opt. Express 15, 7202-7209 (2007). [CrossRef]
  11. B. P. S. Ahluwalia, W. C. Cheong, X.-C. Yuan, L.-S. Zhang, S. -H. Tao, J. Bu ,and H. Wang, "Design and fabrication of a double axicon for generation of tailorable self-imaged three dimensional intensity voids," Opt. Lett. 31, 987-989 (2006). [CrossRef] [PubMed]
  12. G. Mikula, A. Kolodziejczyk, M. Makowski, C. Prokopowicz and M. Sypek, "Diffractive elements for imaging with extended depth of focus," Opt. Eng. 44, 58001 (2005). [CrossRef]
  13. Z. Lu. H. Liu, R. Wang. F. Li, and Y. Liu, "Diffractive axicons fabricated by laser direct writer on curved surface", J. Opt. A: Pure Appl. Opt,  9, 160-164 (2007). [CrossRef]
  14. A. Burvall, K. Kolacz, A. Goncharov, Z. Jaroszewicz, and C. Dainty, "Lens axicons in oblique illumination," Appl. Opt. 46, 312-318 (2007). [CrossRef] [PubMed]
  15. S. Y. Popov and A. T. Friberg, "Design of diffractive axicons for partially coherent light," Opt. Lett. 23, 1639-1641 (1998). [CrossRef]
  16. Z. Jaroszewicz, J. F. Roman Dopazo, and C. Gomez Reino, "Uniformization of the axial intensity of diffraction axicons by polychromatic illumination," Appl. Opt. 35, 1025-1031 (1996). [CrossRef] [PubMed]
  17. S. Y. Popov and A. T. Friberg, "Apodization of generalized axicons to produce uniform axial line images," Pure Appl. Opt 7, 537-548 (1998). [CrossRef]
  18. A. G. Sedukhin, "Beam-preshaping axicon focusing," J. Opt. Soc. Am. A 15, 3057-3066 (1998). [CrossRef]
  19. J. A. Davis, C. Tuvey, O. Lopez-Coronado, J. Campos, and M. J. Yzuel, "Tailoring the depth of focus for optical imaging systems using a Fourier transform approach," Opt. Lett. 32, 844-846 (2007). [CrossRef] [PubMed]
  20. D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, and F. Marinho, "Fast algorithms for free-space diffraction patterns calculation," Opt. Commun. 164, 233-245 (1999). [CrossRef]
  21. D. Mas, J. Pérez, C. Hernández, C. Vázquez, J. J. Miret, and C Illueca, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003). [CrossRef]
  22. C. Illueca, D. Mas, J. Perez, J. Espinosa, D. Ortiz, J. L. Alió, and E. Sala, "Comparative analysis of visual performance and pseudoaccommodation between presbylasik corneas and multifocal IOL implants," J. Refract. Surg., in press (2007). [PubMed]
  23. C. J. Zapata-Rodríguez and A. Sánchez-Losa, "Three dimensional field distribution in the focal region of low-Fresnel-number axicons," J. Opt. Soc. Am. A 23, 3016-3026 (2006). [CrossRef]
  24. J. L. Martínez, I. Moreno, and E. Ahouzi, "Diffraction and signal processing experiments with a liquid crystal microdisplay," Eur. J. Phys. 27, 1221-1231 (2006). [CrossRef]
  25. J. A. Davis, D. M. Cottrell, R. A. Lilly, and S. W. Connely, "Multiplexed phase-encoded lenses written on spatial light modulators," Opt. Lett. 14, 420-422 (1989). [CrossRef] [PubMed]
  26. Image Processing and Analysis in Java, http://rsb.info.nih.gov/ij/.
  27. G. Mikula, Z. Jaroszewicz, A. Kolodziejczyk, K. Petelczyk, and M. Sypek, "Imaging with extended focal depth by means of lenses with radial and angular modulation," Opt. Express 15, 9184-9193 (2007). [CrossRef] [PubMed]
  28. D. Mas, J. Espinosa, J. Pérez, and C. Illueca, "Scale corrections for faster evaluation of convergent Fresnel patterns," J. Mod. Opt. 53, 259-266 (2006). [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.

Supplementary Material

» Media 1: MPG (1300 KB)     
» Media 2: MPG (2512 KB)     
» Media 3: MPG (1066 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited