Abstract

We demonstrate experimentally the formation of polychromatic single- and double-charge optical vortex solitons by employing a lithium niobate crystal as a nonlinear medium with defocusing nonlinearity. We study the wavelength dependence of the vortex core localization and observe self-trapping of polychromatic vortices with a bandwidth spanning over more than 70nm for single-charge and 180nm for double-charge vortex solitons.

© 2008 Optical Society of America

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  1. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  2. G. A. Swartzlander, Jr. and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
    [CrossRef] [PubMed]
  3. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, and references therein.
    [CrossRef]
  4. T. J. Alexander, A. V. Buryak, and Yu. S. Kivshar, Opt. Lett. 23, 670 (1998).
    [CrossRef]
  5. P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
    [CrossRef] [PubMed]
  6. M. Mitchell and M. Segev, Nature 387, 880 (1997).
    [CrossRef]
  7. Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
    [CrossRef] [PubMed]
  8. M. Berry, New J. Phys. 4, 66 (2002).
    [CrossRef]
  9. J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
    [CrossRef]
  10. M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, New J. Phys. 6, 196 (2004).
    [CrossRef]
  11. K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, and H. Walther, Opt. Lett. 29, 1942 (2004).
    [CrossRef] [PubMed]
  12. A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, Opt. Express 14, 3724 (2006).
    [CrossRef]
  13. V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov, and Yu. S. Kivshar, Opt. Express 13, 7393 (2005).
    [CrossRef] [PubMed]
  14. D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
    [CrossRef] [PubMed]
  15. C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
    [CrossRef] [PubMed]
  16. A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 77, 4544 (1996).
    [CrossRef] [PubMed]
  17. A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
    [CrossRef]

2007 (1)

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

2006 (1)

2005 (1)

2004 (3)

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, and H. Walther, Opt. Lett. 29, 1942 (2004).
[CrossRef] [PubMed]

C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
[CrossRef] [PubMed]

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, New J. Phys. 6, 196 (2004).
[CrossRef]

2003 (1)

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

2002 (1)

M. Berry, New J. Phys. 4, 66 (2002).
[CrossRef]

2000 (1)

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

1999 (1)

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

1998 (2)

T. J. Alexander, A. V. Buryak, and Yu. S. Kivshar, Opt. Lett. 23, 670 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

1997 (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

1996 (1)

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 77, 4544 (1996).
[CrossRef] [PubMed]

1992 (1)

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

Agrawal, G. P.

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

Alexander, T. J.

Arkheluyk, O. O.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, New J. Phys. 6, 196 (2004).
[CrossRef]

Austin, M. W.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Berry, M.

M. Berry, New J. Phys. 4, 66 (2002).
[CrossRef]

Bezuhanov, K.

Bolger, J.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Bui, L.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Buryak, A. V.

Chen, Z.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

Chinaglia, W.

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

Christodoulides, D. N.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

Coskun, T. H.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

Desyatnikov, A. S.

Di Trapani, P.

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

Dreischuh, A.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, and H. Walther, Opt. Lett. 29, 1942 (2004).
[CrossRef] [PubMed]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Eggleton, B. J.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Fadeyeva, T.

Fischer, R.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Grasbon, F.

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Ha, S.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Jeng, C. C.

C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
[CrossRef] [PubMed]

Kivshar, Yu. S.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, Opt. Express 14, 3724 (2006).
[CrossRef]

V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov, and Yu. S. Kivshar, Opt. Express 13, 7393 (2005).
[CrossRef] [PubMed]

C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
[CrossRef] [PubMed]

T. J. Alexander, A. V. Buryak, and Yu. S. Kivshar, Opt. Lett. 23, 670 (1998).
[CrossRef]

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

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

Krolikowski, W.

Law, C. T.

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

Leach, J.

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Mamaev, A. V.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 77, 4544 (1996).
[CrossRef] [PubMed]

Minardi, S.

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

Mitchell, A.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Mitchell, M.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Motzek, K.

C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
[CrossRef] [PubMed]

Neshev, D.

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Neshev, D. N.

Padgett, M. J.

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

Paulus, G. G.

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, and H. Walther, Opt. Lett. 29, 1942 (2004).
[CrossRef] [PubMed]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Piskarskas, A.

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

Polyansky, P. V.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, New J. Phys. 6, 196 (2004).
[CrossRef]

Saffman, M.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 77, 4544 (1996).
[CrossRef] [PubMed]

Schätzel, M. G.

Segev, M.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

Shih, M. F.

C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
[CrossRef] [PubMed]

Shvedov, V.

Soskin, M. S.

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, New J. Phys. 6, 196 (2004).
[CrossRef]

Sukhorukov, A. A.

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

Swartzlander, G. A.

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

Torner, L.

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

Valiulis, G.

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

Volyar, A.

Walther, H.

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schätzel, and H. Walther, Opt. Lett. 29, 1942 (2004).
[CrossRef] [PubMed]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Zacher, F.

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Zozulya, A. A.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 77, 4544 (1996).
[CrossRef] [PubMed]

Nature (1)

M. Mitchell and M. Segev, Nature 387, 880 (1997).
[CrossRef]

New J. Phys. (3)

M. Berry, New J. Phys. 4, 66 (2002).
[CrossRef]

J. Leach and M. J. Padgett, New J. Phys. 5, 154 (2003).
[CrossRef]

M. S. Soskin, P. V. Polyansky, and O. O. Arkheluyk, New J. Phys. 6, 196 (2004).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. E (1)

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E 60, 7518 (1999).
[CrossRef]

Phys. Rev. Lett. (5)

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
[CrossRef] [PubMed]

D. N. Neshev, A. A. Sukhorukov, A. Dreischuh, R. Fischer, S. Ha, J. Bolger, L. Bui, W. Krolikowski, B. J. Eggleton, A. Mitchell, M. W. Austin, and Yu. S. Kivshar, Phys. Rev. Lett. 99, 123901 (2007).
[CrossRef] [PubMed]

C. C. Jeng, M. F. Shih, K. Motzek, and Yu. S. Kivshar, Phys. Rev. Lett. 92, 043904 (2004).
[CrossRef] [PubMed]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Phys. Rev. Lett. 77, 4544 (1996).
[CrossRef] [PubMed]

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

Science (1)

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Science 280, 889 (1998).
[CrossRef] [PubMed]

Other (2)

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

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

Experimental setup: SC, supercontinuum light source; λ 4 , quarter-wave plates (not used for generation of a single charge OV); A, attenuator; MO, microscope objectives; L, lenses; P, polarizer; F, variable spectral filter; KTP, potassium titanium oxide phosphate (with adjustable tilting); LiNbO, lithium niobate crystals.

Fig. 2
Fig. 2

(a) Dependence of the average (over the azimuthal coordinate) core width of a single-charge polychromatic OV versus time (input power 50 μ W ). Inset, output vortex intensity distribution in the linear (left) and nonlinear (right) regimes. (b) Width of the OV cores for different spectral components in linear (solid squares, dashed curve) and nonlinear (open circles) regimes. The solid curve indicates the wavelength range of the polychromatic OV soliton.

Fig. 3
Fig. 3

Transverse coordinates of the vortex cores at different spectral components in the linear and nonlinear regime. Owing to charge diffusion inside the Li Nb O 3 crystal, the output vortex positions in the linear and nonlinear regimes are shifted by 120 μ m along the direction of the c axis.

Fig. 4
Fig. 4

Optical vortex width at individual spectral components in the linear (solid squares) and nonlinear (open circles) regimes of polychromatic double-charged OV soliton formation. Insets, output intensity distributions in the two regimes.

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