Abstract

Optical correlation, or matched filtering, can now be applied more widely than before, because the light is now allowed to be totally incoherent, spatially and spectrally. Two such correlators were demonstrated recently. Their state of chromatic correction can be called achromatic, since the scaling error has two zero crossings within the visible range of wavelengths. We present a new apochromatic correlator, in which the scaling error has three zero crossings. The maximum error and the rms error are reduced by a factor of 5. Our apochromatic correlator is composed of two highly dispersive heavy flint lenses that are in contact with two diffractive lenses and two chromatic corrected refractive lenses. The uncommon combination of flint dispersion and diffractive dispersion enabled us to achieve apochromatic correction of the scaling factor of the correlator.

© 2000 Optical Society of America

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References

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1999 (2)

1998 (1)

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

1993 (1)

S. Gorodeisky and A. A. Friesem, Opt. Commun. 100, 421 (1993).
[CrossRef]

1992 (1)

1989 (1)

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

1985 (1)

1981 (1)

1972 (1)

1971 (1)

1968 (2)

S. Lowenthal and A. Wertz, C. R. Acad. Sci. Ser. B 266, 542 (1968).

A. W. Lohmann, Appl. Opt. 7, 561 (1968).
[CrossRef]

1967 (1)

1964 (1)

A. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).

Andrés, P.

Climent, V.

Faklis, D.

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

Friesem, A. A.

Furlan, W. D.

Gorodeisky, S.

S. Gorodeisky and A. A. Friesem, Opt. Commun. 100, 421 (1993).
[CrossRef]

Katyl, R. H.

Lancis, J.

Leith, E. N.

Leon, S.

Lohmann, A. W.

Lowenthal, S.

S. Lowenthal and A. Wertz, C. R. Acad. Sci. Ser. B 266, 542 (1968).

Mínguez-Vega, G.

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]

Paris, D. P.

Pe’er, A.

Tajahuerce, E.

VanderLugt, A.

A. VanderLugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).

Wang, D.

Werlich, H. W.

Wertz, A.

S. Lowenthal and A. Wertz, C. R. Acad. Sci. Ser. B 266, 542 (1968).

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Figures (4)

Fig. 1
Fig. 1

Optical correlator configuration for totally incoherent white light.

Fig. 2
Fig. 2

Scaling-mismatch errors as functions of wavelength for 1λ, the achromatic configuration, and 2λ, the apochromatic configuration.

Fig. 3
Fig. 3

Scaling-mismatch errors λ at three different longitudinal input positions ui for (a) the achromatic correlator configuration 1λ and (b) the new hybrid apochromatic configuration 2λ. In both (a) and (b) the solid curves denote the results for the optimal distance of ui and the dashed and dotted curves denote the results for distances that differ by +7% and -7% from the optimal, respectively.

Fig. 4
Fig. 4

Experimental autocorrelation results for the letter O. (a), (c) apochromatic configuration; (b), (d) achromatic configuration.

Equations (6)

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Icxc=IixiIrxi+xcdxi,
1d1+1d2=1flens,
f2λ=-f1λd2/d12,
Sλ=λui+d1-uid1f1λ,
1f1λ=1ui+1d1-Sidealuid1λ.
1fH=1fD+1fR=λλ0f0+1Rnλ-1,

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