Abstract

We show that by spatially arranging topological charges on a phase mask, it is possible to shape the spatial intensity profile of vortex beams in a controlled manner. As proof-of-principle experiments, we generated vortex beams with the spatial shape of straight lines, corners, and triangles. Potential applications for shaped beams include selective excitation of plasmonic modes, geometrically tunable Bose–Einstein condensates, and optical tweezers.

© 2013 Optical Society of America

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2012 (1)

J. Shamir, Opt. Eng. 51, 073605 (2012).
[CrossRef]

2011 (4)

2010 (3)

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

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

2009 (1)

2008 (1)

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

2006 (1)

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

2005 (1)

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

2003 (2)

1997 (1)

D. Rozas, C. T. Law, and J. G. A. Swartzlander, J. Opt.Soc. Am. B 14, 3054 (1997).
[CrossRef]

1993 (1)

G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
[CrossRef]

Anderson, M. E.

Baumann, S. M.

Bernet, S.

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Bretner, I.

N. Shitrit, I. Bretner, Y. Gorodetski, V. Kleiner, and E. Hasman, Nano. Lett. 11, 2038 (2011).
[CrossRef]

Charron, E.

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

Chávez-Cerda, S.

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

Cho, S.-W.

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

Courtial, J.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

Curtis, J. E.

de Araujo, L. E. E.

Dennis, M. R.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

Ding, J.-P.

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

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]

Fuerhapter, S.

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Gaaloul, N.

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

Galvez, E. J.

Gorodetski, Y.

N. Shitrit, I. Bretner, Y. Gorodetski, V. Kleiner, and E. Hasman, Nano. Lett. 11, 2038 (2011).
[CrossRef]

Grier, D. G.

Guo, C.-S.

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

Han, Y.-J.

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

Hasman, E.

N. Shitrit, I. Bretner, Y. Gorodetski, V. Kleiner, and E. Hasman, Nano. Lett. 11, 2038 (2011).
[CrossRef]

Hickmann, J. M.

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

Indebetouw, G.

G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
[CrossRef]

Jaouadi, A.

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

Jesacher, A.

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Kalb, D. M.

Kang, M.

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

Kim, H.

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

Kleiner, V.

N. Shitrit, I. Bretner, Y. Gorodetski, V. Kleiner, and E. Hasman, Nano. Lett. 11, 2038 (2011).
[CrossRef]

Kumar, A.

Law, C. T.

D. Rozas, C. T. Law, and J. G. A. Swartzlander, J. Opt.Soc. Am. B 14, 3054 (1997).
[CrossRef]

Leach, J.

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

Lee, B.

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

Lee, S.-Y.

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

MacMillan, L. H.

Maurer, C.

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Nakahara, M.

M. Nakahara, Geometry, Topology and Physics (Taylor & Francis, 2003).

Padgett, M. J.

A. M. Yao and M. J. Padgett, Adv. Opt. Photon. 3, 161 (2011).
[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

Park, J.

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

Pruvost, L.

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

Ritsch-Marte, M.

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Rozas, D.

D. Rozas, C. T. Law, and J. G. A. Swartzlander, J. Opt.Soc. Am. B 14, 3054 (1997).
[CrossRef]

Schakel, A. M. J.

A. M. J. Schakel, Boulevard of Broken Symmetries (World Scientific, 2008).

Schwaighofer, A.

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Shamir, J.

J. Shamir, Opt. Eng. 51, 073605 (2012).
[CrossRef]

Shitrit, N.

N. Shitrit, I. Bretner, Y. Gorodetski, V. Kleiner, and E. Hasman, Nano. Lett. 11, 2038 (2011).
[CrossRef]

Singh, R. P.

Soares, W. C.

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

Swartzlander, J. G. A.

D. Rozas, C. T. Law, and J. G. A. Swartzlander, J. Opt.Soc. Am. B 14, 3054 (1997).
[CrossRef]

Telmini, M.

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

Vaity, P.

Viaris de Lesegno, B.

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

Wang, H.-T.

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

Yao, A. M.

Zhang, Y.

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

Adv. Opt. Photon. (1)

J. Mod. Opt. (1)

G. Indebetouw, J. Mod. Opt. 40, 73 (1993).
[CrossRef]

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

D. Rozas, C. T. Law, and J. G. A. Swartzlander, J. Opt.Soc. Am. B 14, 3054 (1997).
[CrossRef]

Nano. Lett. (2)

N. Shitrit, I. Bretner, Y. Gorodetski, V. Kleiner, and E. Hasman, Nano. Lett. 11, 2038 (2011).
[CrossRef]

H. Kim, J. Park, S.-W. Cho, S.-Y. Lee, M. Kang, and B. Lee, Nano. Lett. 10, 529 (2010).
[CrossRef]

Nature (1)

D. G. Grier, Nature 424, 810 (2003).
[CrossRef]

New J. Phys. (1)

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005).
[CrossRef]

Opt. Commun. (2)

C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, Opt. Commun. 259, 449 (2006).
[CrossRef]

A. Jesacher, C. Maurer, S. Fuerhapter, A. Schwaighofer, S. Bernet, and M. Ritsch-Marte, Opt. Commun. 281, 2207 (2008).
[CrossRef]

Opt. Eng. (1)

J. Shamir, Opt. Eng. 51, 073605 (2012).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. A (1)

A. Jaouadi, N. Gaaloul, B. Viaris de Lesegno, M. Telmini, L. Pruvost, and E. Charron, Phys. Rev. A 82, 023613 (2010).
[CrossRef]

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]

Other (2)

M. Nakahara, Geometry, Topology and Physics (Taylor & Francis, 2003).

A. M. J. Schakel, Boulevard of Broken Symmetries (World Scientific, 2008).

Supplementary Material (2)

» Media 1: MOV (204 KB)     
» Media 2: MOV (106 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

Examples of obtained phase patterns (without overlapping with a plane wave carrier and apodization). Arrangement of TCs on a line: (a) discrete (qi=1) and (b) continuous (qi0) distributions for Q=10. There is only a subtle difference between the phase masks at the central region. (c) Corner shaped (Q=20) and (d) triangular shaped (Q=21) TCs arrangements.

Fig. 2.
Fig. 2.

Beam profiles for a linear distribution of TCs with L=3mm. The total TC is Q=5. Numerical results: (a) discrete and (b) continuous charge distributions. Experimental results: (c) and (d) correspond to discrete and continuous TC distributions, respectively. (e), (f) Show the measurements of the total TC using a triangular slit. For experimental results at various L values, see (Media 1).

Fig. 3.
Fig. 3.

Experimental beam profile for L-shaped (corner) TC distributions with Q=10. (a) Discrete and (b) continuous TC distributions.

Fig. 4.
Fig. 4.

(a) Intensity profile and (b) charge measurement of a triangular charges arrangement with Q=3. For more Q values, see (Media 2).

Equations (2)

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ϕT=arg[i=1N(upi)qi].
Q=12πbeamdx⃗·∇⃗ϕT(i=1Nqi).

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