Vector mixed-gap surface solitons

doi:10.1364/OE.14.004808

Vector mixed-gap surface solitons

Yaroslav V. Kartashov, Fangwei Ye, and Lluis Torner »View Author Affiliations

Optics Express, Vol. 14, Issue 11, pp. 4808-4814 (2006)
http://dx.doi.org/10.1364/OE.14.004808

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Abstract

We elucidate the properties of mixed-gap vector surface solitons supported by the interface between a uniform medium and an optical lattice imprinted in a Kerr-type nonlinear media. The components of such mixed-gap solitons emerge from different gaps of lattice spectrum and their mutual trapping results in the formation of stable vector states. The unstable soliton component is stabilized by the cross-coupling with the stable component. We show that vector mixed-gap surface solitons exhibit a new combination of properties of vectorial surface waves and gap solitons.

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: April 26, 2006
Revised Manuscript: May 22, 2006
Manuscript Accepted: May 23, 2006
Published: May 29, 2006

Citation
Yaroslav V. Kartashov, Fangwei Ye, and Lluis Torner, "Vector mixed-gap surface solitons," Opt. Express 14, 4808-4814 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-11-4808

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References

V. Manakov, "On the theory of two-dimensional stationary self-focusing of electromagnetic waves," Sov. Phys. JETP 38, 248 (1974).
D. N. Christodoulides and R. I. Joseph, "Vector solitons in birefringent nonlinear dispersive media," Opt. Lett. 13, 53 (1988). [CrossRef] [PubMed]
J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, "Observation of Manakov spatial solitons in AlGaAs planar waveguides," Phys. Rev. Lett. 76, 3699 (1996). [CrossRef] [PubMed]
Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997). [CrossRef]
J. Yang, "Classification of the solitary waves in coupled nonlinear Schrödinger equations," Physica D 108, 92 (1997). [CrossRef]
M. Mitchell, M. Segev, and D. N. Christodoulides, "Observation of multihump multimode solitons," Phys. Rev. Lett. 80, 4657 (1998). [CrossRef]
E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296 (1999). [CrossRef]
N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (1998). [CrossRef]
Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, "Observation of two-dimensional lattice vector solitons," Opt. Lett. 29, 1656 (2004). [CrossRef] [PubMed]
S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998). [CrossRef]
J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]
D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003). [CrossRef] [PubMed]
O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003). [CrossRef] [PubMed]
A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003). [CrossRef] [PubMed]
Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, "Stabilization of vector solitons in optical latti-ces," Phys. Rev. E 70, 066623 (2004). [CrossRef]
K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Discrete surface solitons," Opt. Lett. 30, 2466 (2005). [CrossRef] [PubMed]
S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006). [CrossRef] [PubMed]
M. Cronin Golomb, "Photorefractive surface waves," Opt. Lett. 20, 2075 (1995). [CrossRef] [PubMed]
P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978). [CrossRef]
A. D. Boardman, M. Bertolotti, and T. Twardowski, eds., Nonlinear waves in solid state physics, NATO ASI 247, (Plenum Press, New York, 1989).
H. E. Ponath and G. I. Stegeman,eds., Nonlinear surface electromagnetic phenomena, (North Holland, Amsterdam 1991).
D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).
A. A. Maradudin, in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov Ed., (World Scientific, Singapore, 1983), p. 72.
Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96, 073901 (2006). [CrossRef] [PubMed]
C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," arXiv: physics/0603202 (2006).
J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999). [CrossRef]
J. Hudock, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720 (2005). [CrossRef] [PubMed]
I. L. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, "Surface multi-gap vector solitons," arxiv: physics/0604031 (2006).

Appl. Phys. Lett.

P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978). [CrossRef]

J. Opt. Soc. Am. B

Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997). [CrossRef]

Opt. Express

J. Hudock, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720 (2005). [CrossRef] [PubMed]

Opt. Lett.

Phys. Rev. E

Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, "Stabilization of vector solitons in optical latti-ces," Phys. Rev. E 70, 066623 (2004). [CrossRef]
S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998). [CrossRef]
J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999). [CrossRef]

Phys. Rev. Lett.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96, 073901 (2006). [CrossRef] [PubMed]
J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]
D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003). [CrossRef] [PubMed]
O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003). [CrossRef] [PubMed]
A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003). [CrossRef] [PubMed]
J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, "Observation of Manakov spatial solitons in AlGaAs planar waveguides," Phys. Rev. Lett. 76, 3699 (1996). [CrossRef] [PubMed]
M. Mitchell, M. Segev, and D. N. Christodoulides, "Observation of multihump multimode solitons," Phys. Rev. Lett. 80, 4657 (1998). [CrossRef]
E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296 (1999). [CrossRef]
N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (1998). [CrossRef]
S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006). [CrossRef] [PubMed]

Physica D

J. Yang, "Classification of the solitary waves in coupled nonlinear Schrödinger equations," Physica D 108, 92 (1997). [CrossRef]

Prog. Opt.

D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).

Sov. Phys. JETP

V. Manakov, "On the theory of two-dimensional stationary self-focusing of electromagnetic waves," Sov. Phys. JETP 38, 248 (1974).

Other

A. D. Boardman, M. Bertolotti, and T. Twardowski, eds., Nonlinear waves in solid state physics, NATO ASI 247, (Plenum Press, New York, 1989).
H. E. Ponath and G. I. Stegeman,eds., Nonlinear surface electromagnetic phenomena, (North Holland, Amsterdam 1991).
A. A. Maradudin, in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov Ed., (World Scientific, Singapore, 1983), p. 72.
C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," arXiv: physics/0603202 (2006).
I. L. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, "Surface multi-gap vector solitons," arxiv: physics/0604031 (2006).

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[1] V. Manakov, "On the theory of two-dimensional stationary self-focusing of electromagnetic waves," Sov. Phys. JETP 38, 248 (1974).

[2] D. N. Christodoulides and R. I. Joseph, "Vector solitons in birefringent nonlinear dispersive media," Opt. Lett. 13, 53 (1988). [CrossRef] [PubMed]

[3] J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, "Observation of Manakov spatial solitons in AlGaAs planar waveguides," Phys. Rev. Lett. 76, 3699 (1996). [CrossRef] [PubMed]

[4] Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997). [CrossRef]

[5] J. Yang, "Classification of the solitary waves in coupled nonlinear Schrödinger equations," Physica D 108, 92 (1997). [CrossRef]

[6] M. Mitchell, M. Segev, and D. N. Christodoulides, "Observation of multihump multimode solitons," Phys. Rev. Lett. 80, 4657 (1998). [CrossRef]

[7] E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296 (1999). [CrossRef]

[8] N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (1998). [CrossRef]

[9] Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, "Observation of two-dimensional lattice vector solitons," Opt. Lett. 29, 1656 (2004). [CrossRef] [PubMed]

[10] S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998). [CrossRef]

[11] J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]

[12] D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003). [CrossRef] [PubMed]

[13] O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003). [CrossRef] [PubMed]

[14] A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003). [CrossRef] [PubMed]

[15] Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, "Stabilization of vector solitons in optical latti-ces," Phys. Rev. E 70, 066623 (2004). [CrossRef]

[16] K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Discrete surface solitons," Opt. Lett. 30, 2466 (2005). [CrossRef] [PubMed]

[17] S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006). [CrossRef] [PubMed]

[18] M. Cronin Golomb, "Photorefractive surface waves," Opt. Lett. 20, 2075 (1995). [CrossRef] [PubMed]

[19] P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978). [CrossRef]

[20] A. D. Boardman, M. Bertolotti, and T. Twardowski, eds., Nonlinear waves in solid state physics, NATO ASI 247, (Plenum Press, New York, 1989).

[21] H. E. Ponath and G. I. Stegeman,eds., Nonlinear surface electromagnetic phenomena, (North Holland, Amsterdam 1991).

[22] D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).

[23] A. A. Maradudin, in Optical and Acoustic Waves in Solids-Modern Topics, M. Borissov Ed., (World Scientific, Singapore, 1983), p. 72.

[24] Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface gap solitons," Phys. Rev. Lett. 96, 073901 (2006). [CrossRef] [PubMed]

[25] C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," arXiv: physics/0603202 (2006).

[26] J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999). [CrossRef]

[27] J. Hudock, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720 (2005). [CrossRef] [PubMed]

[28] I. L. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, "Surface multi-gap vector solitons," arxiv: physics/0604031 (2006).

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Vector mixed-gap surface solitons

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References

Appl. Phys. Lett.

J. Opt. Soc. Am. B

Opt. Express

Opt. Lett.

Phys. Rev. E

Phys. Rev. Lett.

Physica D

Prog. Opt.

Sov. Phys. JETP

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