Abstract

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

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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2011 (1)

2010 (2)

2009 (1)

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).

2008 (1)

2007 (1)

2005 (2)

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).

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]

2003 (1)

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]

2001 (2)

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]

W. Chi and N. George, “Electronic imaging using a logarithmic asphere,” Opt. Lett. 26(12), 875–877 (2001).
[CrossRef] [PubMed]

1995 (1)

M. Sypek, “Light propagation in the Fresnel region. New numerical approach,” Opt. Commun. 116(1-3), 43–48 (1995).
[CrossRef]

1993 (1)

B. K. Pierscionek, “What we know and understand about presbyopia,” Clin. Exp. Optom. 76(3), 83–90 (1993).
[CrossRef]

1992 (1)

1990 (1)

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]

1954 (1)

Ares, J.

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]

Ares García, J.

Artal, P.

Asundi, A.

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).

Bara, S.

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]

Bará, S.

Chi, W.

Croft, M. A.

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]

Flores, R.

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]

García, J. A.

George, N.

Glasser, A.

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]

Gomez García, M.

Gorecki, M.

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]

Jaroszewicz, Z.

Kakarenko, K.

Kaufman, P. L.

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]

Kolodziejczyk, A.

Makowski, M.

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).

McLeod, J. H.

Mikula, G.

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]

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).

Pan, B.

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).

Petelczyc, K.

Pierscionek, B. K.

B. K. Pierscionek, “What we know and understand about presbyopia,” Clin. Exp. Optom. 76(3), 83–90 (1993).
[CrossRef]

Prokopowicz, C.

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).

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]

Qian, K.

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).

Sochacki, J.

Sypek, M.

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]

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]

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).

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]

M. Sypek, “Light propagation in the Fresnel region. New numerical approach,” Opt. Commun. 116(1-3), 43–48 (1995).
[CrossRef]

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]

Tabernero, J.

Xie, H.

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).

Zalevsky, Z.

Z. Zalevsky, “Extended depth of focus imaging: a review,” SPIE Rev. 1(1), 018001 (2010).
[CrossRef]

Appl. Opt. (2)

Clin. Exp. Optom. (1)

B. K. Pierscionek, “What we know and understand about presbyopia,” Clin. Exp. Optom. 76(3), 83–90 (1993).
[CrossRef]

Int. Ophthalmol. Clin. (1)

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]

J. Mod. Opt. (1)

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]

J. Opt. Soc. Am. (1)

Meas. Sci. Technol. (1)

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).

Opt. Commun. (1)

M. Sypek, “Light propagation in the Fresnel region. New numerical approach,” Opt. Commun. 116(1-3), 43–48 (1995).
[CrossRef]

Opt. Eng. (2)

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]

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).

Opt. Express (3)

Opt. Lett. (1)

Optom. Vis. Sci. (1)

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]

SPIE Rev. (1)

Z. Zalevsky, “Extended depth of focus imaging: a review,” SPIE Rev. 1(1), 018001 (2010).
[CrossRef]

Other (5)

A. Valberg, Light Vision Color (Wiley, 2005).

H. Gross, F. Blechinger, and B. Achtner, Handbook of Optical Systems, Vol. 4, Survey of Optical Instruments (Wiley-VCH, 2008).

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company, 2005).

D. Moore, Basic Practice of Statistics, (W. H. Freeman and Company, 2010).

Z. Jaroszewicz, Axicons: Design and Propagation Properties, Research & Development Treaties, (SPIE Polish Chapter, Warsaw, 1997), Vol. 5.

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