Abstract

We report on a simple, spatially incoherent, wavelength-independent imaging system that, in contrast to the conventional case, exhibits a dispersion-compensated point-spread function. Our hybrid (diffractive–refractive) three-lens imaging configuration thus acts as an all-incoherent dispersion-compensated optical irradiance correlator. So the optical arrangement is well adapted to processing color information (both spatially and temporally incoherent) under natural illumination.

© 1999 Optical Society of America

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References

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  1. J. L. Horner, Optical Signal Processing (Academic, San Diego, Calif., 1987), Chap. 2.
  2. A. W. Lohmann and H. W. Werlich, Appl. Opt. 10, 670 (1971).
    [CrossRef] [PubMed]
  3. R. H. Katyl, Appl. Opt. 11, 1255 (1972).
    [CrossRef] [PubMed]
  4. G. M. Morris, Appl. Opt. 20, 2017 (1981).
    [CrossRef] [PubMed]
  5. P. Andrés, J. Lancis, and W. D. Furlan, Appl. Opt. 31, 4682 (1992).
    [CrossRef]
  6. M. Schwab, N. Lindlein, J. Schwider, Y. Amitai, A. A. Friesem, and S. Reinhom, J. Opt. Soc. Am. A 12, 1290 (1995).
    [CrossRef]
  7. E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
    [CrossRef]
  8. P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
    [CrossRef]
  9. E. Tajahuerce, J. Lancis, V. Climent, and P. Andrés, Opt. Commun. 151, 86 (1998).
    [CrossRef]
  10. E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
    [CrossRef]
  11. D. Mendlovic, Z. Zalevsky, and P. Andrés, Optik 110, 45 (1999).
  12. D. Faklis and G. M. Morris, Opt. Eng. 28, 592 (1989).
    [CrossRef]
  13. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).

1999 (2)

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

D. Mendlovic, Z. Zalevsky, and P. Andrés, Optik 110, 45 (1999).

1998 (3)

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

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

E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
[CrossRef]

1995 (1)

1992 (1)

1989 (1)

D. Faklis and G. M. Morris, Opt. Eng. 28, 592 (1989).
[CrossRef]

1981 (1)

1972 (1)

1971 (1)

Amitai, Y.

Andrés, P.

D. Mendlovic, Z. Zalevsky, and P. Andrés, Optik 110, 45 (1999).

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
[CrossRef]

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

P. Andrés, J. Lancis, and W. D. Furlan, Appl. Opt. 31, 4682 (1992).
[CrossRef]

Climent, V.

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

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

E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
[CrossRef]

Faklis, D.

D. Faklis and G. M. Morris, Opt. Eng. 28, 592 (1989).
[CrossRef]

Fernández-Alonso, M.

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
[CrossRef]

Friesem, A. A.

Furlan, W. D.

Horner, J. L.

J. L. Horner, Optical Signal Processing (Academic, San Diego, Calif., 1987), Chap. 2.

Katyl, R. H.

Lancis, J.

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
[CrossRef]

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

P. Andrés, J. Lancis, and W. D. Furlan, Appl. Opt. 31, 4682 (1992).
[CrossRef]

Lindlein, N.

Lohmann, A. W.

Mendlovic, D.

D. Mendlovic, Z. Zalevsky, and P. Andrés, Optik 110, 45 (1999).

Mínguez, G.

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

Morris, G. M.

D. Faklis and G. M. Morris, Opt. Eng. 28, 592 (1989).
[CrossRef]

G. M. Morris, Appl. Opt. 20, 2017 (1981).
[CrossRef] [PubMed]

Reinhom, S.

Schwab, M.

Schwider, J.

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).

Tajahuerce, E.

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

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

E. Tajahuerce, V. Climent, J. Lancis, M. Fernández-Alonso, and P. Andrés, Appl. Opt. 37, 6164 (1998).
[CrossRef]

Werlich, H. W.

Zalevsky, Z.

D. Mendlovic, Z. Zalevsky, and P. Andrés, Optik 110, 45 (1999).

Appl. Opt. (5)

J. Mod. Opt. (1)

E. Tajahuerce, P. Andrés, J. Lancis, M. Fernández-Alonso, and V. Climent, J. Mod. Opt. 46, 49 (1999).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Commun. (1)

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

Opt. Eng. (1)

D. Faklis and G. M. Morris, Opt. Eng. 28, 592 (1989).
[CrossRef]

Opt. Photon. News (1)

P. Andrés, V. Climent, J. Lancis, E. Tajahuerce, M. Fernández-Alonso, and G. Mínguez, Opt. Photon. News 9(12), 19 (1998).
[CrossRef]

Optik (1)

D. Mendlovic, Z. Zalevsky, and P. Andrés, Optik 110, 45 (1999).

Other (2)

J. L. Horner, Optical Signal Processing (Academic, San Diego, Calif., 1987), Chap. 2.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).

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Figures (3)

Fig. 1
Fig. 1

Schematic diagram of our all-incoherent optical processor. See text for definitions.

Fig. 2
Fig. 2

SCE associated with the incoherent PSF of the optical setup of Fig. 1. In this representation we assume white-light illumination.

Fig. 3
Fig. 3

Color-pattern recognition experiment with natural light: (a) Black-and-white picture of the input object, consisting of a set of colored letters. From left to right, the characters in the top and bottom rows are green, red, and blue. All the characters in the middle row are white. (b) Gray-level picture of the color-correlation peaks of the letter A. From left to right, the correlation peaks in the top row are green, red, and blue. A white correlation signal is achieved in the middle row (left-hand side).

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

hIx,y;σ=-px,yexpiπσABx2+y2×exp-i2πσBxx+yydxdy2.
A=0, Bσ=M0adσ0Z0σ-a+d.
hIx,y;σ=p˜xβσ,yβσ2,
βσσσ0=0.
βσ=M0d22d-Z0 σ0-2σσ2.
SCEσ=100β0-βσβ0=100σ-σ02σ2,
IFx,y=I0xM0,yM0*p˜xβo,yβ02,

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