Abstract

We demonstrate experimentally a technique for the numerical correction of an optical vortex with a unitary topological charge. A developed algorithm based on the axial behavior of a reconstructed wavefront is used in the detection of the optical vortex. Optimizations of the number of axial phase maps and the window size used in the algorithm yield the precise coordinates of the vortex eye. The obtained coordinates and vortex handedness are used in designing a proper filter, facilitating numerical correction of the vortex phase map. The developed algorithm can be applied to absolute phase and phase difference maps obtained through any reconstruction method.

© 2011 Optical Society of America

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References

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1974

J. Nye and M. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).
[CrossRef]

Alfieri, D.

Almoro, P. F.

Aspert, N.

Berry, M.

J. Nye and M. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).
[CrossRef]

Bourquin, S.

Businaro, L.

D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, Microelectron. Eng. 83, 1360 (2006).
[CrossRef]

Cabrini, S.

D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, Microelectron. Eng. 83, 1360 (2006).
[CrossRef]

Carpentiero, A.

D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, Microelectron. Eng. 83, 1360 (2006).
[CrossRef]

Charrière, F.

Cojoc, D.

D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, Microelectron. Eng. 83, 1360 (2006).
[CrossRef]

Colomb, T.

Coppola, G.

Cuche, E.

Daria, V. R.

De Nicola, S.

Depeursinge, C.

Di Fabrizio, E.

D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, Microelectron. Eng. 83, 1360 (2006).
[CrossRef]

Ferraro, P.

Finizio, A.

Glückstad, J.

Gundu, P. N.

Hanson, S.

Hanson, S. G.

Ishijima, R.

Kaulich, B.

D. Cojoc, B. Kaulich, A. Carpentiero, S. Cabrini, L. Businaro, and E. Di Fabrizio, Microelectron. Eng. 83, 1360 (2006).
[CrossRef]

Kühn, J.

Malacara, D.

D. Malacara, Optical Shop Testing (Wiley, 2007).
[CrossRef]

Marian, A.

Marquet, P.

Molina-Terriza, G.

Montfort, F.

Nye, J.

J. Nye and M. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).
[CrossRef]

Palima, D. Z.

Pierattini, G.

Recolons, J.

Takeda, M.

Torner, L.

Wang, W.

Wang, Z.

Yamaguchi, I.

Yaroslavsky, L.

Yokozeki, T.

Yuan, X.-C.

Zhang, F.

Zhang, N.

Supplementary Material (1)

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Figures (2)

Fig. 1
Fig. 1

Schematic for determining the location of a vortex eye (transverse coordinates, x e and y e ) using the contrast of SD values in the axial direction.

Fig. 2
Fig. 2

(Media 1) Effects of the algorithm window size ℓ (second column) and the total number of planes k (third column) on the precise location of the vortex eye for the demonstration of the phase correction technique (first column). (a) Sample phase map. (b) Designed vortex filter with unitary topological charge, positive handedness and centered at ( x e , y e ). (c) Resulting corrected phase map upon subtraction of (b) from (a). Contrast maps for (d)  = 21 , (e)  = 13 , and (f)  = 5 . Contrast maps for (g)  k = 2 , (h) 4, and (i) 8 planes.

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