Abstract

We investigate the routing of vortex beams in nonlocal media by means of coaxial, co-propagating spatial optical solitons. By introducing a refractive index perturbation in the form of a localized defect or a dielectric interface, the soliton waveguide can be curved and, therefore, can deviate the collinear vortex, effectively routing it, while preventing its destabilization and breakup.

© 2014 Optical Society of America

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  1. D. G. Grier, Nature 424, 810 (2003).
    [CrossRef]
  2. M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
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  3. V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
    [CrossRef]
  4. J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
    [CrossRef]
  5. A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, Phys. Rev. E 71, 065603(R) (2005).
    [CrossRef]
  6. Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
    [CrossRef]
  7. G. Vitrant, R. Reinisch, J. C. Paumier, G. Assanto, and G. I. Stegeman, Opt. Lett. 14, 898 (1989).
    [CrossRef]
  8. R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
    [CrossRef]
  9. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
    [CrossRef]
  10. S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
    [CrossRef]
  11. A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Y. S. Kivshar, Phys. Rev. A 76, 063803 (2007).
    [CrossRef]
  12. A. A. Minzoni, N. F. Smyth, Z. Xu, and Y. S. Kivshar, Phys. Rev. A 79, 063808 (2009).
    [CrossRef]
  13. M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
    [CrossRef]
  14. A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
    [CrossRef]
  15. Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, J. Opt. Soc. Am. B 30, 1432 (2013).
    [CrossRef]
  16. M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).
  17. L. Marrucci, N. F. Smyth, and G. Assanto, Opt. Lett. 38, 1618 (2013).
    [CrossRef]
  18. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
    [CrossRef]
  19. A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
    [CrossRef]
  20. G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
    [CrossRef]
  21. E. A. Kuznetsov and A. M. Rubenchik, Phys. Rep. 142, 103 (1986).
    [CrossRef]
  22. F. W. Dabby and J. R. Whinnery, Appl. Phys. Lett. 13, 284 (1968).
    [CrossRef]
  23. C. Rotschild, M. Segev, Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 31, 3312 (2006).
    [CrossRef]
  24. C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
  25. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
    [CrossRef]
  26. A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
    [CrossRef]
  27. B. Fornberg and G. B. Whitham, Philos. Tr. R. Soc. A 289, 373 (1978).
    [CrossRef]
  28. G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974).

2013

2012

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
[CrossRef]

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

2011

2010

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
[CrossRef]

2009

A. A. Minzoni, N. F. Smyth, Z. Xu, and Y. S. Kivshar, Phys. Rev. A 79, 063808 (2009).
[CrossRef]

2007

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Y. S. Kivshar, Phys. Rev. A 76, 063803 (2007).
[CrossRef]

2006

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
[CrossRef]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).

C. Rotschild, M. Segev, Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 31, 3312 (2006).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).

2005

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, Phys. Rev. E 71, 065603(R) (2005).
[CrossRef]

R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

2003

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

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

1992

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef]

1989

1986

E. A. Kuznetsov and A. M. Rubenchik, Phys. Rep. 142, 103 (1986).
[CrossRef]

1978

B. Fornberg and G. B. Whitham, Philos. Tr. R. Soc. A 289, 373 (1978).
[CrossRef]

1968

F. W. Dabby and J. R. Whinnery, Appl. Phys. Lett. 13, 284 (1968).
[CrossRef]

Aceves, A. B.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Ahmed, N.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Alberucci, A.

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
[CrossRef]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Alfassi, B.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).

Assanto, G.

L. Marrucci, N. F. Smyth, and G. Assanto, Opt. Lett. 38, 1618 (2013).
[CrossRef]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, J. Opt. Soc. Am. B 30, 1432 (2013).
[CrossRef]

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
[CrossRef]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

G. Vitrant, R. Reinisch, J. C. Paumier, G. Assanto, and G. I. Stegeman, Opt. Lett. 14, 898 (1989).
[CrossRef]

Bowman, R.

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

Carney, P. S.

R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
[CrossRef]

Cohen, O.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).

Conti, C.

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Crosignani, B.

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef]

Dabby, F. W.

F. W. Dabby and J. R. Whinnery, Appl. Phys. Lett. 13, 284 (1968).
[CrossRef]

Desyatnikov, A. S.

Dolinar, S.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Dyadyusha, A.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).

Fazal, I. M.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Fischer, B.

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef]

Fornberg, B.

B. Fornberg and G. B. Whitham, Philos. Tr. R. Soc. A 289, 373 (1978).
[CrossRef]

Grier, D. G.

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

Huang, H.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Izdebskaya, Y. V.

Kaczmarek, M.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
[CrossRef]

Kartashov, Y. V.

Keller, O.

R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
[CrossRef]

Kivshar, Y. S.

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, J. Opt. Soc. Am. B 30, 1432 (2013).
[CrossRef]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

A. A. Minzoni, N. F. Smyth, Z. Xu, and Y. S. Kivshar, Phys. Rev. A 79, 063808 (2009).
[CrossRef]

A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Y. S. Kivshar, Phys. Rev. A 76, 063803 (2007).
[CrossRef]

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, Phys. Rev. E 71, 065603(R) (2005).
[CrossRef]

Krolikowski, W.

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

Królikowski, W.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

Kuznetsov, E. A.

E. A. Kuznetsov and A. M. Rubenchik, Phys. Rep. 142, 103 (1986).
[CrossRef]

Marrucci, L.

Minzoni, A. A.

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
[CrossRef]

G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
[CrossRef]

A. A. Minzoni, N. F. Smyth, Z. Xu, and Y. S. Kivshar, Phys. Rev. A 79, 063808 (2009).
[CrossRef]

A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Y. S. Kivshar, Phys. Rev. A 76, 063803 (2007).
[CrossRef]

Moloney, J. V.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Newell, A. C.

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

Padgett, M.

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

Pasquazi, A.

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Paumier, J. C.

Peccianti, M.

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, Phys. Rev. Lett. 97, 153903 (2006).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Reinisch, R.

Ren, Y.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Rode, A. V.

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

Rotschild, C.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).

C. Rotschild, M. Segev, Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 31, 3312 (2006).
[CrossRef]

Rubenchik, A. M.

E. A. Kuznetsov and A. M. Rubenchik, Phys. Rep. 142, 103 (1986).
[CrossRef]

Rutherford, J. M.

R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
[CrossRef]

Saffman, M.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

Schoonover, R. W.

R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
[CrossRef]

Segev, M.

C. Rotschild, M. Segev, Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 31, 3312 (2006).
[CrossRef]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef]

Shvedov, V. G.

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

Skupin, S.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

Smyth, N. F.

L. Marrucci, N. F. Smyth, and G. Assanto, Opt. Lett. 38, 1618 (2013).
[CrossRef]

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
[CrossRef]

G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
[CrossRef]

A. A. Minzoni, N. F. Smyth, Z. Xu, and Y. S. Kivshar, Phys. Rev. A 79, 063808 (2009).
[CrossRef]

A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Y. S. Kivshar, Phys. Rev. A 76, 063803 (2007).
[CrossRef]

Stegeman, G. I.

Torner, L.

Tur, M.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Vitrant, G.

Wang, J.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Whinnery, J. R.

F. W. Dabby and J. R. Whinnery, Appl. Phys. Lett. 13, 284 (1968).
[CrossRef]

Whitham, G. B.

B. Fornberg and G. B. Whitham, Philos. Tr. R. Soc. A 289, 373 (1978).
[CrossRef]

G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974).

Willner, A. E.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Worthy, A. L.

G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
[CrossRef]

A. A. Minzoni, N. F. Smyth, A. L. Worthy, and Y. S. Kivshar, Phys. Rev. A 76, 063803 (2007).
[CrossRef]

Xu, Z.

A. A. Minzoni, N. F. Smyth, Z. Xu, and Y. S. Kivshar, Phys. Rev. A 79, 063808 (2009).
[CrossRef]

C. Rotschild, M. Segev, Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 31, 3312 (2006).
[CrossRef]

Yakimenko, A. I.

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, Phys. Rev. E 71, 065603(R) (2005).
[CrossRef]

Yan, Y.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Yang, J.-Y.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Yariv, A.

M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef]

Yue, Y.

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

Zaliznyak, Y. A.

A. I. Yakimenko, Y. A. Zaliznyak, and Y. S. Kivshar, Phys. Rev. E 71, 065603(R) (2005).
[CrossRef]

Appl. Phys. Lett.

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

F. W. Dabby and J. R. Whinnery, Appl. Phys. Lett. 13, 284 (1968).
[CrossRef]

J. Opt. Soc. Am. B

Nat. Photonics

J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, Nat. Photonics 6, 488 (2012).
[CrossRef]

M. Padgett and R. Bowman, Nat. Photonics 5, 343 (2011).
[CrossRef]

Nat. Phys.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, Nat. Phys. 2, 737 (2006).

Nature

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

Opt. Express

Opt. Lett.

Philos. Tr. R. Soc. A

B. Fornberg and G. B. Whitham, Philos. Tr. R. Soc. A 289, 373 (1978).
[CrossRef]

Phys. Lett. A

R. W. Schoonover, J. M. Rutherford, O. Keller, and P. S. Carney, Phys. Lett. A 342, 363 (2005).
[CrossRef]

Phys. Rep.

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

E. A. Kuznetsov and A. M. Rubenchik, Phys. Rep. 142, 103 (1986).
[CrossRef]

Phys. Rev. A

A. Alberucci, G. Assanto, A. A. Minzoni, and N. F. Smyth, Phys. Rev. A 85, 013804 (2012).
[CrossRef]

G. Assanto, A. A. Minzoni, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 82, 053843 (2010).
[CrossRef]

A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
[CrossRef]

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Figures (3)

Fig. 1.
Fig. 1.

Evolution of vortex and solitary wave in (x,z) near a Gaussian index defect (white ellipse). (a) Vortex |v(x,0,z)| for au=0, (b) solitary wave |u(x,0,z)| for au=0.75, and (c) vortex |v(x,0,z)| for au=0.75. The other parameter values are av=0.25, wu=5.0, wv=4.5, Vu=Vv=0.5 at z=0 with q=2, ν=200, (X,Z)=(0,40), W=20, and AD=0.3.

Fig. 2.
Fig. 2.

Profiles |v| of linear vortices co-launched with nonlocal solitary waves, as given by Eqs. (1) and (2). (a) Input vortex at z=0, (b) vortex at z=100 after interacting with the Gaussian defect for au=0 (no soliton), and (c) at z=100 after interacting with the Gaussian defect for au=0.75. The other parameters are as in Fig. 1.

Fig. 3.
Fig. 3.

Co-launched nonlocal soliton and vortex crossing a dielectric interface. (a) Soliton evolution (|u|) in the (x,z) plane. The white line indicates the graded-index interface. (b) Evolution of vortex beam (|v|) in the (x,z) plane, (c) soliton profile (|u|), and (d) vortex profile (|v|) at z=100. Parameter values are au=0.75, av=0.25, wu=5.0, wv=4.5, Vu=Vv=0.5 at z=0 with q=2, ν=200, W=2, AD=0.3, μ0=2, and μ1=60.

Equations (8)

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0=iuz+122u+2F(x,z)u2uK(xx,yy)|u(x,y,z)|2dxdy,
0=ivz+122v+2F(x,z)v2vK(xx,yy)|u(x,y,z)|2dxdy,
F(x,z)=ADe[(xX)2+(zZ)2]/W2,
F(x,z)=AD2[1tanhxμ0zμ1W].
u=ausechψwueiVux,v=avrer2/wv2eiVvx+iϕ,
K(x,y)=1πνK0(2qνr),
wv=342qνln(2)au2wu2,
I222wu2A2B4β2wu2α(A2β2+B2wu2)2=0.

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