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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 25 — Dec. 5, 2011
  • pp: 25602–25616

Imaging properties of the light sword optical element used as a contact lens in a presbyopic eye model

K. Petelczyc, S. Bará, A. Ciro Lopez, Z. Jaroszewicz, K. Kakarenko, A. Kolodziejczyk, and M. Sypek  »View Author Affiliations

Optics Express, Vol. 19, Issue 25, pp. 25602-25616 (2011)

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The paper analyzes the imaging properties of the light sword optical element (LSOE) applied as a contact lens to the presbyopic human eye. We performed our studies with a human eye model based on the Gullstrand parameterization. In order to quantify the discussion concerning imaging with extended depth of focus, we introduced quantitative parameters characterizing output images of optotypes obtained in numerical simulations. The quality of the images formed by the LSOE were compared with those created by a presbyopic human eye, reading glasses and a quartic inverse axicon. Then we complemented the numerical results by an experiment where a 3D scene was imaged by means of the refractive LSOE correcting an artificial eye based on the Gullstrand model. According to performed simulations and experiments the LSOE exhibits abilities for presbyopia correction in a wide range of functional vision distances.

© 2011 OSA

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(110.2990) Imaging systems : Image formation theory
(220.3620) Optical design and fabrication : Lens system design
(330.4060) Vision, color, and visual optics : Vision modeling
(330.7323) Vision, color, and visual optics : Visual optics, aging changes

ToC Category:
Geometric Optics

Original Manuscript: August 25, 2011
Revised Manuscript: October 6, 2011
Manuscript Accepted: October 14, 2011
Published: November 30, 2011

Virtual Issues
Vol. 7, Iss. 2 Virtual Journal for Biomedical Optics

K. Petelczyc, S. Bará, A. Ciro Lopez, Z. Jaroszewicz, K. Kakarenko, A. Kolodziejczyk, and M. Sypek, "Imaging properties of the light sword optical element used as a contact lens in a presbyopic eye model," Opt. Express 19, 25602-25616 (2011)

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  1. P. Artal and J. Tabernero, “Optics of human eye: 400 years of exploration from Galileo’s time,” Appl. Opt. 49(16), D123–D130 (2010). [CrossRef] [PubMed]
  2. B. K. Pierscionek, “What we know and understand about presbyopia,” Clin. Exp. Optom. 76(3), 83–90 (1993). [CrossRef]
  3. A. Glasser, M. A. Croft, and P. L. Kaufman, “Aging of the human crystalline lens and presbyopia,” Int. Ophthalmol. Clin. 41(2), 1–15 (2001). [CrossRef] [PubMed]
  4. Z. Zalevsky, “Extended depth of focus imaging: a review,” SPIE Rev. 1(1), 018001 (2010). [CrossRef]
  5. A. Kołodziejczyk, 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(8), 1283–1286 (1990). [CrossRef]
  6. K. Petelczyc, J. A. García, S. Bará, Z. Jaroszewicz, K. Kakarenko, A. Kolodziejczyk, and M. Sypek, “Strehl ratios characterizing optical elements designed for presbyopia compensation,” Opt. Express 19(9), 8693–8699 (2011). [CrossRef] [PubMed]
  7. A. Valberg, Light Vision Color (Wiley, 2005).
  8. H. Gross, F. Blechinger, and B. Achtner, Handbook of Optical Systems, Vol. 4, Survey of Optical Instruments (Wiley-VCH, 2008).
  9. M. Sypek, “Light propagation in the Fresnel region. New numerical approach,” Opt. Commun. 116(1-3), 43–48 (1995). [CrossRef]
  10. M. Sypek, C. Prokopowicz, and M. Gorecki, “Image multiplying and high-frequency oscillations effects in the Fresnel region light propagation simulation,” Opt. Eng. 42(11), 3158–3164 (2003). [CrossRef]
  11. J. Ares García, S. Bará, M. Gomez García, Z. Jaroszewicz, A. Kolodziejczyk, and K. Petelczyc, “Imaging with extended focal depth by means of the refractive light sword optical element,” Opt. Express 16(22), 18371–18378 (2008). [CrossRef] [PubMed]
  12. J. H. McLeod, “The axicon: a new type of optical element,” J. Opt. Soc. Am. 44(8), 592–597 (1954). [CrossRef]
  13. Z. Jaroszewicz, Axicons: Design and Propagation Properties, Research & Development Treaties, (SPIE Polish Chapter, Warsaw, 1997), Vol. 5.
  14. J. Sochacki, A. Kołodziejczyk, Z. Jaroszewicz, and S. Bará, “Nonparaxial design of generalized axicons,” Appl. Opt. 31(25), 5326–5330 (1992). [CrossRef] [PubMed]
  15. W. Chi and N. George, “Electronic imaging using a logarithmic asphere,” Opt. Lett. 26(12), 875–877 (2001). [CrossRef] [PubMed]
  16. J. Ares, R. Flores, S. Bará, and Z. Jaroszewicz, “Presbyopia compensation with a quartic axicon,” Optom. Vis. Sci. 82(12), 1071–1078 (2005). [CrossRef] [PubMed]
  17. G. Mikuła, Z. Jaroszewicz, A. Kolodziejczyk, K. Petelczyc, and M. Sypek, “Imaging with extended focal depth by means of lenses with radial and angular modulation,” Opt. Express 15(15), 9184–9193 (2007). [CrossRef] [PubMed]
  18. G. Mikuła, A. Kolodziejczyk, M. Makowski, C. Prokopowicz, and M. Sypek, “Diffractive elements for imaging with extended depth of focus,” Opt. Eng. 44, 058001(1–7) (2005).
  19. J. W. Goodman, Introduction to Fourier Optics (Roberts & Company, 2005).
  20. D. Moore, Basic Practice of Statistics, (W. H. Freeman and Company, 2010).
  21. B. Pan, K. Qian, H. Xie, and A. Asundi, “Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review,” Meas. Sci. Technol. 20, 062001(17pp) (2009).

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