Abstract

Vortex transmutation was predicted to take place when vortices interact with systems possessing discrete rotational symmetries of finite order [Phys. Rev. Lett.95, 123901 (2005)]. Here we report what is believed to be the first experimental demonstration of vortex transmutation. We show that in free space, by simply inserting polygonal lenses into the optical path, the central vorticity of a coaxially incident optical vortex can be changed following the modular transmutation rule. We generate the wavefront at the exit face of the lenses with computer generated holograms and measure the output vorticity using the interference patterns at the focal plane. The results agree well with theoretical predictions.

© 2012 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. F. Nye and M. V. Berry, Proc. R. Soc. Lond. A 336, 165 (1974).
    [CrossRef]
  2. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef]
  3. M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
    [CrossRef]
  4. M. S. Soskin, V. N. Gorshkov, and M. V. Vasnetsov, Phys. Rev. A 56, 4064 (1997).
    [CrossRef]
  5. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
    [CrossRef]
  6. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
    [CrossRef]
  7. D. G. Grier, Nature 424, 810 (2003).
    [CrossRef]
  8. G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
    [CrossRef]
  9. E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
    [CrossRef]
  10. I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
    [CrossRef]
  11. G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
    [CrossRef]
  12. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
    [CrossRef]
  13. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
    [CrossRef]
  14. N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
    [CrossRef]
  15. C. Xie, X. Zhu, L. Shi, and M. Liu, Opt. Lett. 35, 1765 (2010).
    [CrossRef]
  16. L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
    [CrossRef]
  17. A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
    [CrossRef]
  18. A. Ferrando, Phys. Rev. E 72, 036612 (2005).
    [CrossRef]
  19. A. Ferrando, M. Zacares, and M. Garcia-March, Phys. Rev. Lett. 95, 043901 (2005).
    [CrossRef]
  20. V. M. Pérez-García, M. A. García-March, and A. Ferrando, Phys. Rev. A 75, 033618 (2007).
    [CrossRef]
  21. S. A. Collins, J. Opt. Soc. Am. 60, 1168 (1970).
    [CrossRef]
  22. J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010).
    [CrossRef]
  23. W. H. Lee, Appl. Opt. 13, 1677 (1974).
    [CrossRef]

2011 (1)

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

2010 (3)

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

C. Xie, X. Zhu, L. Shi, and M. Liu, Opt. Lett. 35, 1765 (2010).
[CrossRef]

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

2007 (2)

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

V. M. Pérez-García, M. A. García-March, and A. Ferrando, Phys. Rev. A 75, 033618 (2007).
[CrossRef]

2006 (1)

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

2005 (3)

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

A. Ferrando, Phys. Rev. E 72, 036612 (2005).
[CrossRef]

A. Ferrando, M. Zacares, and M. Garcia-March, Phys. Rev. Lett. 95, 043901 (2005).
[CrossRef]

2003 (1)

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

2002 (1)

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

2001 (3)

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

1997 (1)

M. S. Soskin, V. N. Gorshkov, and M. V. Vasnetsov, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

1994 (1)

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

1993 (1)

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

1992 (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
[CrossRef]

1974 (2)

W. H. Lee, Appl. Opt. 13, 1677 (1974).
[CrossRef]

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

1970 (1)

Allen, L.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Arlt, J.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

Basistiy, I. V.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Bazhenov, V. Y.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Beijersbergen, M. W.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Berry, M. V.

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

Bryant, P. E.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[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]

Coerwinkel, R. P. C.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Collins, S. A.

de Cordoba, P. F.

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

Dholakia, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

Ferrando, A.

V. M. Pérez-García, M. A. García-March, and A. Ferrando, Phys. Rev. A 75, 033618 (2007).
[CrossRef]

A. Ferrando, Phys. Rev. E 72, 036612 (2005).
[CrossRef]

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

A. Ferrando, M. Zacares, and M. Garcia-March, Phys. Rev. Lett. 95, 043901 (2005).
[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]

Gao, N.

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

Garcia-March, M.

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

A. Ferrando, M. Zacares, and M. Garcia-March, Phys. Rev. Lett. 95, 043901 (2005).
[CrossRef]

García-March, M. A.

V. M. Pérez-García, M. A. García-March, and A. Ferrando, Phys. Rev. A 75, 033618 (2007).
[CrossRef]

Gorshkov, V. N.

M. S. Soskin, V. N. Gorshkov, and M. V. Vasnetsov, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Grier, D. G.

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

Heckenberg, N. R.

Hickmann, J. M.

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

Jin, C.

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

Kristensen, M.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Lee, W. H.

Li, C.

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

Liu, M.

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

C. Xie, X. Zhu, L. Shi, and M. Liu, Opt. Lett. 35, 1765 (2010).
[CrossRef]

MacDonald, M. P.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Marrucci, L.

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

McDuff, R.

Molina-Terriza, G.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

Monsoriu, J. A.

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

Nagali, E.

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

Nye, J. F.

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

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

Paterson, L.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

Pérez-García, V. M.

V. M. Pérez-García, M. A. García-March, and A. Ferrando, Phys. Rev. A 75, 033618 (2007).
[CrossRef]

Recolons, J.

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

Sansoni, L.

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

Santamato, E.

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

Sciarrino, F.

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

Shi, L.

Sibbett, W.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

Smith, C. 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]

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

M. S. Soskin, V. N. Gorshkov, and M. V. Vasnetsov, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Torner, L.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

Torres, J. P.

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

M. S. Soskin, V. N. Gorshkov, and M. V. Vasnetsov, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Volke-Sepulveda, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

White, A. G.

Woerdman, J. P.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

Wright, E. M.

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

Xie, C.

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

C. Xie, X. Zhu, L. Shi, and M. Liu, Opt. Lett. 35, 1765 (2010).
[CrossRef]

Zacares, M.

A. Ferrando, M. Zacares, and M. Garcia-March, Phys. Rev. Lett. 95, 043901 (2005).
[CrossRef]

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

Zhu, X.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

N. Gao, C. Xie, C. Li, C. Jin, and M. Liu, Appl. Phys. Lett. 98, 151106 (2011).
[CrossRef]

J. Opt. Soc. Am. (1)

Nat. Phys. (1)

G. Molina-Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Nature (1)

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

Opt. Commun. (2)

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (4)

V. M. Pérez-García, M. A. García-March, and A. Ferrando, Phys. Rev. A 75, 033618 (2007).
[CrossRef]

E. Nagali, L. Sansoni, L. Marrucci, E. Santamato, and F. Sciarrino, Phys. Rev. A 81, 052317 (2010).
[CrossRef]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef]

M. S. Soskin, V. N. Gorshkov, and M. V. Vasnetsov, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Phys. Rev. E (1)

A. Ferrando, Phys. Rev. E 72, 036612 (2005).
[CrossRef]

Phys. Rev. Lett. (5)

A. Ferrando, M. Zacares, and M. Garcia-March, Phys. Rev. Lett. 95, 043901 (2005).
[CrossRef]

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

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef]

A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
[CrossRef]

G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner, and E. M. Wright, Phys. Rev. Lett. 87, 023902 (2001).
[CrossRef]

Proc. R. Soc. Lond. A (1)

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

Prog. Opt. (1)

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

Science (2)

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef]

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics