Abstract

This letter reports the first experimental observation, to our knowledge, of optical vector solitons composed of two incoherently coupled vortex components. We employ nematic liquid crystal to generate stable vector solitons with counterrotating vortices and hidden vorticity. In contrast, the solitons with explicit vorticity and corotating vortex components show azimuthal splitting.

© 2012 Optical Society of America

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  1. J. F. Nye and M. V. Berry, Proc. R. Soc. London A 336, 165 (1974).
    [CrossRef]
  2. M. S. Soskin and M. V. Vasnetsov, Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42, p. 219.
  3. M. R. Dennis, K. O’Holleran, and M. J. Padgett, Progress in Optics, E. Wolf, ed. (Elsevier, 2009), Vol. 52, p. 293.
  4. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, Progress in Optics, E. Wolf, ed. (Elsevier, 2005), Vol. 47, p. 291.
  5. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  6. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997).
    [CrossRef]
  7. A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001).
    [CrossRef]
  8. M. S. Bigelow, Q-Han Park, and R. W. Boyd, Phys. Rev. E 66, 046631 (2002).
    [CrossRef]
  9. A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
    [CrossRef]
  10. A. S. Desyatnikov, D. E. Pelinovsky, and J. Yang, J. Math. Sci. 151, 3091 (2008) [Fund. Appl. Math. 12(7), 35 (2006) (in Russian)].
    [CrossRef]
  11. A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
    [CrossRef]
  12. C. Huang, Opt. Commun. 284, 5786 (2011).
    [CrossRef]
  13. Ya. Izdebskaya, A. S. Desytanikov, G. Assanto, and Yu. S. Kivshar, Opt. Express 19, 21457 (2011).
    [CrossRef]
  14. S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, Opt. Lett. 31, 1100 (2006).
    [CrossRef]
  15. A. I. Yakimenko, Y. A. Zaliznyak, and Yu. Kivshar, Phys. Rev. E 71, 065603 (2005).
    [CrossRef]

2011 (2)

2008 (1)

A. S. Desyatnikov, D. E. Pelinovsky, and J. Yang, J. Math. Sci. 151, 3091 (2008) [Fund. Appl. Math. 12(7), 35 (2006) (in Russian)].
[CrossRef]

2007 (1)

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

2006 (1)

2005 (2)

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

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

2002 (1)

M. S. Bigelow, Q-Han Park, and R. W. Boyd, Phys. Rev. E 66, 046631 (2002).
[CrossRef]

2001 (1)

A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001).
[CrossRef]

1997 (1)

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

1974 (1)

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

Agrawal, G. P.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Assanto, G.

Bang, O.

Berry, M. V.

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

Bigelow, M. S.

M. S. Bigelow, Q-Han Park, and R. W. Boyd, Phys. Rev. E 66, 046631 (2002).
[CrossRef]

Boyd, R. W.

M. S. Bigelow, Q-Han Park, and R. W. Boyd, Phys. Rev. E 66, 046631 (2002).
[CrossRef]

Dennis, M. R.

M. R. Dennis, K. O’Holleran, and M. J. Padgett, Progress in Optics, E. Wolf, ed. (Elsevier, 2009), Vol. 52, p. 293.

Denz, C.

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

Desyatnikov, A. S.

A. S. Desyatnikov, D. E. Pelinovsky, and J. Yang, J. Math. Sci. 151, 3091 (2008) [Fund. Appl. Math. 12(7), 35 (2006) (in Russian)].
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, Opt. Lett. 31, 1100 (2006).
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001).
[CrossRef]

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, Progress in Optics, E. Wolf, ed. (Elsevier, 2005), Vol. 47, p. 291.

Desytanikov, A. S.

Firth, W. J.

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

Huang, C.

C. Huang, Opt. Commun. 284, 5786 (2011).
[CrossRef]

Izdebskaya, Ya.

Kivshar, Yu.

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

Kivshar, Yu. S.

Ya. Izdebskaya, A. S. Desytanikov, G. Assanto, and Yu. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, Opt. Lett. 31, 1100 (2006).
[CrossRef]

A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001).
[CrossRef]

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, Progress in Optics, E. Wolf, ed. (Elsevier, 2005), Vol. 47, p. 291.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Krolikowski, W.

Lederer, F.

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

Lopez-Aguayo, S.

Malomed, B. A.

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

Mazilu, D.

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

Mihalache, D.

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

Nye, J. F.

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

O’Holleran, K.

M. R. Dennis, K. O’Holleran, and M. J. Padgett, Progress in Optics, E. Wolf, ed. (Elsevier, 2009), Vol. 52, p. 293.

Padgett, M. J.

M. R. Dennis, K. O’Holleran, and M. J. Padgett, Progress in Optics, E. Wolf, ed. (Elsevier, 2009), Vol. 52, p. 293.

Park, Q-Han

M. S. Bigelow, Q-Han Park, and R. W. Boyd, Phys. Rev. E 66, 046631 (2002).
[CrossRef]

Pelinovsky, D. E.

A. S. Desyatnikov, D. E. Pelinovsky, and J. Yang, J. Math. Sci. 151, 3091 (2008) [Fund. Appl. Math. 12(7), 35 (2006) (in Russian)].
[CrossRef]

Skryabin, D. V.

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

Skupin, S.

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42, p. 219.

Torner, L.

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, Progress in Optics, E. Wolf, ed. (Elsevier, 2005), Vol. 47, p. 291.

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42, p. 219.

Yakimenko, A. I.

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

Yang, J.

A. S. Desyatnikov, D. E. Pelinovsky, and J. Yang, J. Math. Sci. 151, 3091 (2008) [Fund. Appl. Math. 12(7), 35 (2006) (in Russian)].
[CrossRef]

Zaliznyak, Y. A.

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

J. Math. Sci. (1)

A. S. Desyatnikov, D. E. Pelinovsky, and J. Yang, J. Math. Sci. 151, 3091 (2008) [Fund. Appl. Math. 12(7), 35 (2006) (in Russian)].
[CrossRef]

Opt. Commun. (1)

C. Huang, Opt. Commun. 284, 5786 (2011).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Lett. A (1)

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, and F. Lederer, Phys. Lett. A 364, 231 (2007).
[CrossRef]

Phys. Rev. E (3)

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

M. S. Bigelow, Q-Han Park, and R. W. Boyd, Phys. Rev. E 66, 046631 (2002).
[CrossRef]

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, and F. Lederer, Phys. Rev. E 71, 026615 (2005).
[CrossRef]

Phys. Rev. Lett. (2)

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

A. S. Desyatnikov and Yu. S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001).
[CrossRef]

Proc. R. Soc. London A (1)

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

Other (4)

M. S. Soskin and M. V. Vasnetsov, Progress in Optics, E. Wolf, ed. (Elsevier, 2001), Vol. 42, p. 219.

M. R. Dennis, K. O’Holleran, and M. J. Padgett, Progress in Optics, E. Wolf, ed. (Elsevier, 2009), Vol. 52, p. 293.

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, Progress in Optics, E. Wolf, ed. (Elsevier, 2005), Vol. 47, p. 291.

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

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Figures (4)

Fig. 1.
Fig. 1.

Schematic phase-front view of two components with (a) corotating and (b) counterrotating vortices. Bottom, experimental setup: DH—diffraction hologram, λ/2—half-wavelength plate, M1—mirror mounted on a piezoelectric transducer, MO—microscope objectives, NLC—nematic liquid crystal cell, F—ND filter, CCD—camera. The dashed squares show two elements for generating composite beams with (c) explicit m1,2=+1 and (d) hidden m1,2=±1 vorticity.

Fig. 2.
Fig. 2.

Experimental results for the vortex beams of two types: (a)–(d) m1,2=+1, and (e)–(h) m1,2=±1. (a), (e) input images; (b)–(d) and (f)–(h) output images for various input powers P in each component.

Fig. 3.
Fig. 3.

Structure of the components: total (a), (d) and partial (b), (c), (e), (f) intensity patterns of the composite vortex solitons with (a)–(c) m1,2=+1 and (d)–(f) m1,2=±1 at P=2.9mW. The dashed arrows show the orientation of each component.

Fig. 4.
Fig. 4.

Numerical results. Output intensity distributions for the vortex vector solitons with the topological charges (a) (+1,+1) and (b) (+1,1).

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