Abstract

A triangular aperture illuminated with a vortex beam creates a truncated lattice diffraction pattern that identifies the charge of the vortex. In this Letter, we demonstrate the measurement of vortex charge via this approach for vortex beams up to charge ±7. We also demonstrate the use of this technique for measuring femtosecond vortices and noninteger vortices, comparing these results with numerical modeling. It is shown that this technique is simple and reliable, but care must be taken when interpreting the results for the noninteger case.

© 2011 Optical Society of America

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References

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2010 (2)

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

N. Zhang, X. C. Yuan, and R. E. Burge, Opt. Lett. 35, 3495 (2010).
[CrossRef] [PubMed]

2009 (1)

2008 (1)

2005 (1)

2004 (1)

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

2002 (1)

L. Allen, J. Opt. B 4, S1 (2002).
[CrossRef]

2000 (2)

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

1999 (1)

1996 (1)

1974 (1)

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

Allen, L.

L. Allen, J. Opt. B 4, S1 (2002).
[CrossRef]

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

Barnett, S. M.

Berry, M. V.

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

Burge, R. E.

Chávez-Cerda, S.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Davis, J. A.

Don, M.

Flossmann, F.

Fonseca, E. J. S.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Franke-Arnold, S.

Gan, X. S.

Gotte, J. B.

Gu, M.

Haist, T.

Hickmann, J. M.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Khonina, S. N.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Kotlyar, V. V.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Laakkonen, P.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Leach, J.

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Mariyenko, I.

Melvin, L. B.

Mitry, J. M.

Moreno, I.

Nye, J. F.

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

O’Holleran, K.

Padgett, M.

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

Padgett, M. J.

Pascoguin, B. M. L.

Preece, D.

Reicherter, M.

Skidanov, R. V.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Soares, W. C.

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Soifer, V. A.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Strohaber, J.

Tiziani, H. J.

Turunen, J.

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Uiterwaal, C.

Wagemann, E. U.

Yao, E.

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Yuan, X. C.

Zhang, N.

Contemp. Phys. (1)

M. Padgett and L. Allen, Contemp. Phys. 41, 275 (2000).
[CrossRef]

J. Opt. B (1)

L. Allen, J. Opt. B 4, S1 (2002).
[CrossRef]

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

New J. Phys. (1)

J. Leach, E. Yao, and M. J. Padgett, New J. Phys. 6, 71 (2004).
[CrossRef]

Opt. Commun. (1)

S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, Opt. Commun. 175, 301(2000).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. Lett. (1)

J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
[CrossRef] [PubMed]

Proc. R. Soc. A (1)

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

Supplementary Material (1)

» Media 1: MPG (247 KB)     

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Figures (5)

Fig. 1
Fig. 1

(a) Triangular apertures formed with metallic tape on a Plexiglas housing. The size of each triangle (length of one side in mm) is 0.73, 1.21, 1.76, and 2.44. The inset shows a close-up of the 1.76 mm triangle, centered on a hole in the Plexiglas. (b) Spatial profile of our charge 1 vortex beam at the aperture’s position.

Fig. 2
Fig. 2

Measured diffraction patterns for vortices of integral charge. Images have been rescaled for clarity.

Fig. 3
Fig. 3

Diffraction patterns for vortex of charge 7 (left) and + 7 (right) with a vertically oriented triangular aperture of size 1.21 mm .

Fig. 4
Fig. 4

Diffraction patterns of fractional-charge vortices with aperture 1.21 mm . Movie online (Media 1) shows the change from charge 0 to 3 in steps of 0.1.

Fig. 5
Fig. 5

Measured diffraction patterns for a charge 3 vortex in cw mode (left) and femtosecond mode (center). Numerical simulation of femtosecond vortex diffraction with spatial chirp (right).

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