Abstract

Annular linear diffractive axicons are optical devices providing chromatic imaging over an extended depth of focus when illuminated by a white light. To improve their low radiometric performance, multiple annular linear diffractive axicons (MALDAs) have been introduced. Their chromatic properties are well known and constrained by dispersion laws. A first attempt to freely combine colors or wavelength bands has been obtained with interleaved MALDAs (I_MALDAs). However, such optics do not provide a full decoupling between wavelength combination and brightness control required in the CIE color space to address any colors. We present here a new category of I_MALDA providing this capability when illuminated by a white source containing tristimulus (red/green/blue) values. We assess both theoretically and experimentally imaging qualities of such optics with respect to two different interleaving techniques and suggest some potential applications, in particular in the field of anticounterfeit and authentication techniques.

© 2012 Optical Society of America

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References

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  1. E. Bialic, and J.-L. de Bougrenet de la Tocnaye, “Multiple annular linear diffractive axicons,” J. Opt. Soc. Am. A 28, 523–533 (2011).
    [CrossRef]
  2. E. Bialic, and J.-L. de Bougrenet de la Tocnaye, “Multispectral imaging axicons,” Appl. Opt. 50, 3638–3645 (2011).
    [CrossRef]
  3. Commission Internationale de l’Eclairage, Commission Internationale de l’Eclairage Proceedings 1931 (Cambridge University, 1932).
  4. J. Sauvage-Vincent, and V. Petiton, “Extraordinary Transmission for an Effective See-Through DOVID,” in Proceedings of the Conference on Optical Security and Counterfeit Deterrence (Reconnaissance International, 2012), p. 4.
  5. G. Druart, J. Taboury, J. Taboury, N. Gurineau, R. Hadar, H. Sauer, A. Kattnig, and J. Primot, “Demonstration of image-zooming capability for diffractive axicons,” Opt. Lett. 33, 366–368 (2008).
    [CrossRef]
  6. E. Ben-Eliezer, E. Marom, N. Konforti, and Z. Zalevsky, “Experimental realization of an imaging system with an extended depth of field,” Appl. Opt. 44, 2792–2798 (2005).
    [CrossRef]

2011 (2)

2008 (1)

2005 (1)

Ben-Eliezer, E.

Bialic, E.

de Bougrenet de la Tocnaye, J.-L.

Druart, G.

Gurineau, N.

Hadar, R.

Kattnig, A.

Konforti, N.

Marom, E.

Petiton, V.

J. Sauvage-Vincent, and V. Petiton, “Extraordinary Transmission for an Effective See-Through DOVID,” in Proceedings of the Conference on Optical Security and Counterfeit Deterrence (Reconnaissance International, 2012), p. 4.

Primot, J.

Sauer, H.

Sauvage-Vincent, J.

J. Sauvage-Vincent, and V. Petiton, “Extraordinary Transmission for an Effective See-Through DOVID,” in Proceedings of the Conference on Optical Security and Counterfeit Deterrence (Reconnaissance International, 2012), p. 4.

Taboury, J.

Zalevsky, Z.

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Figures (14)

Fig. 1.
Fig. 1.

Example of an I_MALDA.

Fig. 2.
Fig. 2.

Sectored WI_MALDA.

Fig. 3.
Fig. 3.

Superpixel interleaving principle of two MALDAs.

Fig. 4.
Fig. 4.

Partial grating profile of a sectored WI_MALDA (40 sectors by MALDA) at the interferometric microscope.

Fig. 5.
Fig. 5.

Partial grating profile of a of superpixel (80×80) WI_MALDA at the interferometric microscope.

Fig. 6.
Fig. 6.

Color imaging of reference MALDA, e=500nm.

Fig. 7.
Fig. 7.

Diffraction efficiency for m=1, for thickness e=420nm and e=520nm.

Fig. 8.
Fig. 8.

Imaging in function of the number of sectors.

Fig. 9.
Fig. 9.

Imaging in function of the number of superpixels, e=500nm.

Fig. 10.
Fig. 10.

LED Luxeon spectrum.

Fig. 11.
Fig. 11.

Specific colors for various weightings, e=520nm, texp=115ms.

Fig. 12.
Fig. 12.

Sectorization influence on WI_MALDAs.

Fig. 13.
Fig. 13.

Sectorization dispersion in CIE space.

Fig. 14.
Fig. 14.

Variation of colors as a function of weightings, e=520nm, texp=115ms.

Tables (4)

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Table 1. Percentage of the First Rings of an MALDA with an Aperture of 1 mm

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Table 2. Characteristics of MALDA 1 and 2

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Table 3. Characteristics of MALDA B, G, and R for Experiments

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Table 4. Weighting Imposed to the Optics Used in the Experiments

Equations (3)

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Rmin(n)(λ)=[1Δλλ]Rmin(n1)(λ),
PSeff=1Rmin2Rmax2.
PSeff(n)=[λminλmax]2n×[λmax2λmin2λmin2],

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