Abstract

We report what is believed to be the first observation of self-trapping and charge-flipping of double-charged optical vortices in two-dimensional photonic lattices. Both on- and off-site excitations lead to the formation of rotating quasi-vortex solitons, reversing the topological charges and the direction of rotation through a quadrupolelike transition state. Experimental results are corroborated with numerical simulations.

© 2006 Optical Society of America

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  1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
    [CrossRef] [PubMed]
  2. Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).
  3. B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001).
    [CrossRef]
  4. J. Yang and Z. H. Musslimani, Opt. Lett. 28, 2094 (2003).
    [CrossRef] [PubMed]
  5. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
    [CrossRef] [PubMed]
  6. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
    [CrossRef] [PubMed]
  7. G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
    [CrossRef] [PubMed]
  8. A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, p. 219.
    [CrossRef]
  9. T. J. Alexander, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004).
    [CrossRef] [PubMed]
  10. A. Ferrando, M. Zacares, M. Garcia-March, J. A. Monsoriu, and P. F. de Cordoba, Phys. Rev. Lett. 95, 123901 (2005).
    [CrossRef] [PubMed]
  11. A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.
  12. Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).
  13. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
    [CrossRef]
  14. P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
    [CrossRef]
  15. H. Sakaguchi and B. A. Malomed, Europhys. Lett. 72, 698 (2005).
    [CrossRef]
  16. J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
    [CrossRef] [PubMed]
  17. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
    [CrossRef]
  18. M. Rodas-Verde, H. Michinel, and Y. S. Kivshar, Opt. Lett. 31, 607 (2006).
    [CrossRef] [PubMed]
  19. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
    [CrossRef]
  20. H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
    [CrossRef]

2006 (1)

2005 (4)

H. Sakaguchi and B. A. Malomed, Europhys. Lett. 72, 698 (2005).
[CrossRef]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

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

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

2004 (6)

T. J. Alexander, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
[CrossRef]

H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
[CrossRef]

2003 (2)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. Yang and Z. H. Musslimani, Opt. Lett. 28, 2094 (2003).
[CrossRef] [PubMed]

2001 (1)

B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001).
[CrossRef]

1997 (2)

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

1992 (1)

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Agrawal, G. P.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

Alexander, T. J.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

T. J. Alexander, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004).
[CrossRef] [PubMed]

Bartal, G.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Bezryadina, A.

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

Chen, Z.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
[CrossRef]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
[CrossRef]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

Christodoulides, D. N.

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

Cohen, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Coskun, T. H.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

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] [PubMed]

Desyatnikov, A. S.

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, p. 219.
[CrossRef]

Eugenieva, E.

H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
[CrossRef]

Ferrando, A.

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

Firth, W. J.

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

Fleischer, J. W.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Frantzeskakis, D. J.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
[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] [PubMed]

Hudock, J.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Kevrekidis, P. G.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
[CrossRef]

B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001).
[CrossRef]

Kivshar, Y. S.

M. Rodas-Verde, H. Michinel, and Y. S. Kivshar, Opt. Lett. 31, 607 (2006).
[CrossRef] [PubMed]

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, p. 219.
[CrossRef]

Kivshar, Yu. S.

T. J. Alexander, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

Law, C. T.

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Lederer, F.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

Makasyuk, I.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Malomed, B. A.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

H. Sakaguchi and B. A. Malomed, Europhys. Lett. 72, 698 (2005).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
[CrossRef]

B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001).
[CrossRef]

Manela, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

Martin, H.

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
[CrossRef]

Michinel, H.

Mitchell, M.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[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] [PubMed]

Musslimani, Z. H.

Neshev, D. N.

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

Ostrovskaya, E. A.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

Rodas-Verde, M.

Sakaguchi, H.

H. Sakaguchi and B. A. Malomed, Europhys. Lett. 72, 698 (2005).
[CrossRef]

Segev, M.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

Silberberg, Y.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

Skryabin, D. V.

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

Sukhorukov, A. A.

T. J. Alexander, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004).
[CrossRef] [PubMed]

Swartzlander, G. A.

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Torner, L.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, p. 219.
[CrossRef]

Yang, J.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

J. Yang and Z. H. Musslimani, Opt. Lett. 28, 2094 (2003).
[CrossRef] [PubMed]

Young, J.

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

Zacares, M.

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

Europhys. Lett. (1)

H. Sakaguchi and B. A. Malomed, Europhys. Lett. 72, 698 (2005).
[CrossRef]

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

Z. Chen, H. Martin, A. Bezryadina, D. N. Neshev, Y. S. Kivshar, and D. N. Christodoulides, J. Opt. Soc. Am. B 22, 1305 (2005).

Nature (1)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

Opt. Lett. (2)

Phys. Rev. E (2)

B. A. Malomed and P. G. Kevrekidis, Phys. Rev. E 64, 026601 (2001).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, Phys. Rev. E 70, 056612 (2004).
[CrossRef]

Phys. Rev. Lett. (9)

W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

H. Martin, E. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123901 (2004).
[CrossRef]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Yu. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef] [PubMed]

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

T. J. Alexander, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004).
[CrossRef] [PubMed]

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

Stud. Appl. Math. (1)

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Stud. Appl. Math. 113, 389 (2004).
[CrossRef]

Other (3)

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. Chen, and Yu. S. Kivshar, in Conference on Lasers and Electro-Optics (CLEO) (Optical Society of America, 2006), paper number QFB1.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, p. 219.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental results of self-trapping of an off-site (top row) and an on-site (bottom row) double-charged vortex. (a) Input intensity pattern and interferogram of the vortex. (b) Lattice pattern with the vortex input position marked by the green circles. (c) Self-trapping of the vortex at bias field of 3.4 kV โˆ• cm . (d), (e) Interference between (c) and a broad beam (quasi-plane wave) with two different phase delays, showing two diagonal spots that are always in phase.

Fig. 2
Fig. 2

Experimental results of reversing rotation for off-site (top row) and on-site (bottom row) self-trapped vortices. (a)โ€“(c) Output vortex patterns as the nonlinearity is increased gradually.

Fig. 3
Fig. 3

In fig, please add parens around labels (a)โ€“(e).Numerical results of self-trapping of an off-site (top row) and an on-site (bottom row) vortex using parameters corresponding to those in Fig. 1. (a) Input phase diagram and interferogram of the vortex. (b), (c) Vortices at z = 0 and z = 10 mm , respectively (white contour lines indicate lattice structure). (d), (e) Interference output as in Figs. 1d, 1e.

Fig. 4
Fig. 4

In fig, please add parens around labels (a)-(e)Snapshots of phase distribution (top) and interferograms (bottom) of the off-site vortex at different propagation distances. The circles in the phase diagrams correspond to vortex filaments. From (a) to (e), z = 7.75 , 8.25, 10.25, 10.75, 12.25 mm . (c) Quadrupolelike state where the rotation starts to reverse.

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