Abstract

We propose a programmable diffractive lens written onto a liquid crystal display (LCD) that is able to provide equal focal lengths for several wavelengths simultaneously. To achieve this goal it is necessary that the LCD operate in the phase-only regime simultaneously for the different wavelengths. We design the appropriate lens for each wavelength, and then the lenses are spatially multiplexed onto the LCD. Various multiplexing schemes have been analyzed, and the random scheme shows the best performance. We further show the possibility of finely tuning the chromaticity of the focal spot by changing the relative weights of the multiplexing among the various wavelengths.

© 2006 Optical Society of America

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References

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  1. V. Laude, Opt. Commun. 153, 134 (1998).
    [CrossRef]
  2. E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
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  3. E. Carcolé, M. S. Millán, and J. Campos, Opt. Lett. 20, 2360 (1995).
    [CrossRef] [PubMed]
  4. E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
    [CrossRef]
  5. A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
    [CrossRef]
  6. A. Márquez, C. Iemmi, I. Moreno, J. Campos, and M. J. Yzuel, Opt. Express 13, 2111 (2005).
    [CrossRef] [PubMed]

2005 (1)

2003 (1)

E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
[CrossRef]

2001 (1)

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

1998 (2)

V. Laude, Opt. Commun. 153, 134 (1998).
[CrossRef]

E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
[CrossRef]

1995 (1)

Andrés, P.

E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
[CrossRef]

Ben-Eliezer, E.

E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
[CrossRef]

Campos, J.

Carcolé, E.

Climent, V.

E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
[CrossRef]

Davis, J. A.

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

Iemmi, C.

A. Márquez, C. Iemmi, I. Moreno, J. Campos, and M. J. Yzuel, Opt. Express 13, 2111 (2005).
[CrossRef] [PubMed]

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

Konforti, N.

E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
[CrossRef]

Lancis, J.

E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
[CrossRef]

Laude, V.

V. Laude, Opt. Commun. 153, 134 (1998).
[CrossRef]

Marom, E.

E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
[CrossRef]

Márquez, A.

A. Márquez, C. Iemmi, I. Moreno, J. Campos, and M. J. Yzuel, Opt. Express 13, 2111 (2005).
[CrossRef] [PubMed]

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

Millán, M. S.

Moreno, I.

A. Márquez, C. Iemmi, I. Moreno, J. Campos, and M. J. Yzuel, Opt. Express 13, 2111 (2005).
[CrossRef] [PubMed]

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

Tajahuerce, E.

E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
[CrossRef]

Yzuel, M. J.

A. Márquez, C. Iemmi, I. Moreno, J. Campos, and M. J. Yzuel, Opt. Express 13, 2111 (2005).
[CrossRef] [PubMed]

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

Zalevsky, Z.

E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
[CrossRef]

J. Opt. A Pure Appl. Opt. (1)

E. Ben-Eliezer, Z. Zalevsky, E. Marom, and N. Konforti, J. Opt. A Pure Appl. Opt. 5, S164 (2003).
[CrossRef]

Opt. Commun. (2)

V. Laude, Opt. Commun. 153, 134 (1998).
[CrossRef]

E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
[CrossRef]

Opt. Eng. (1)

A. Márquez, C. Iemmi, I. Moreno, J. A. Davis, J. Campos, and M. J. Yzuel, Opt. Eng. 40, 2558 (2001).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

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Figures (3)

Fig. 1
Fig. 1

Complex amplitude modulation for the optimum phase-only regime for the wavelengths 633, 514, and 458 nm: (a) amplitude, (b) phase shift.

Fig. 2
Fig. 2

Gray-level representations of diffractive lenses with equal focal lengths. In (a), (b), and (c) the lenses have been designed for the wavelengths 633, 514, and 458 nm, respectively. In (d), (e), and (f) the lenses are the result of the spatial multiplexing with equal weights of the lenses (a), (b), and (c), with (d) divided into 30 sectors and three rings, (e) random multiplexing in areas of 8 × 8 pixels , and (f) random multiplexing in areas of 1 × 1 pixel .

Fig. 3
Fig. 3

Pseudocolored PSF obtained experimentally. In (a) and (b) two lenses with weights (1,1,2) for the RGB channels and with different spatial multiplexing schemes are used. (a) 30 sectors divided into three rings, (b) random distribution in 8 × 8 pixel areas. In (c)–(f) random multiplexed lenses with 1 × 1 pixel areas are used with RGB weights (c) (1,1,2), (d) (1,1,1.5), (e) (1,1,1.3), (f) (1,1,1).

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