Multipole-mode solitons in Bessel optical lattices
Optics Express, Vol. 13, Issue 26, pp. 10703-10710 (2005)
http://dx.doi.org/10.1364/OPEX.13.010703
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Abstract
We study basic properties of quiescent and rotating multipole-mode solitons supported by axially symmetric Bessel lattices in a medium with defocusing cubic nonlinearity. The solitons can be found in different rings of the lattice and are stable when the propagation constant exceeds the critical value, provided that the lattice is deep enough. In a high-power limit the multipole-mode solitons feature a multi-ring structure.
© 2005 Optical Society of America
1 . J. W. Fleischer , T. Carmon , M. Segev , N. K. Efremidis , and D. N. Christodoulides , “ Observation of discrete solitons in optically induced real time waveguide arrays ,” Phys. Rev. Lett. 90 , 023902 ( 2003 ). [CrossRef] [PubMed]
8 . B. B. Baizakov , B. A. Malomed , and M. Salerno , “ Multidimensional solitons in periodic potentials ,” Europhys. Lett. 63 , 642 ( 2003 ). [CrossRef]
9 . J. Arlt and K. Dholakia , “ Generation of high-order Bessel beams by use of an axicon ,” Opt. Commun. 177 , 297 ( 2000 ). [CrossRef]
10 . S. H. Tao , X.-C. Yuan , and B. S. Ahluwalia , “ The generation of an array of nondiffracting beams by a single composite computer generated hologram ,” J. Opt. A: Pure. Appl. Opt. 7 , 40 ( 2005 ). [CrossRef]
11 . Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Rotary solitons in Bessel optical lattices ,” Phys. Rev. Lett. 93 , 093904 ( 2004 ). [CrossRef] [PubMed]
11 . Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Rotary solitons in Bessel optical lattices ,” Phys. Rev. Lett. 93 , 093904 ( 2004 ). [CrossRef] [PubMed]
12 . Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Stable ring-profile vortex solitons in Bessel optical lattices ,” Phys. Rev. Lett. 94 , 043902 ( 2005 ). [CrossRef] [PubMed]
13 . Y. V. Kartashov , A. A. Egorov , V. A. Vysloukh , and L. Torner , “ Rotary dipole-mode solitons in Bessel optical lattices ,” J. Opt. B: Quantum Semiclass. Opt. 6 , 444 ( 2004 ). [CrossRef]
16 . A. Desyatnikov , D. Neshev , E. Ostrovskaya , Y. S. Kivshar , W. Krolikowski , B. Luther-Davies , J. J. Garcia-Ripoll , and V. Perez-Garcia , “ Multipole spatial vector solitons ,” Opt. Lett. 26 , 435 ( 2001 ). [CrossRef]
17 . A. S. Desyatnikov , D. Neshev , E. A. Osrovskaya , Y. S. Kivshar , G. McCarthy , W. Krolikowski , and B. Luther-Davies , “ Multipole composite spatial solitons: theory and experiment ,” J. Opt. Soc. Am. B 19 , 586 ( 2002 ). [CrossRef]
11 . Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Rotary solitons in Bessel optical lattices ,” Phys. Rev. Lett. 93 , 093904 ( 2004 ). [CrossRef] [PubMed]
9 . J. Arlt and K. Dholakia , “ Generation of high-order Bessel beams by use of an axicon ,” Opt. Commun. 177 , 297 ( 2000 ). [CrossRef]
10 . S. H. Tao , X.-C. Yuan , and B. S. Ahluwalia , “ The generation of an array of nondiffracting beams by a single composite computer generated hologram ,” J. Opt. A: Pure. Appl. Opt. 7 , 40 ( 2005 ). [CrossRef]
13 . Y. V. Kartashov , A. A. Egorov , V. A. Vysloukh , and L. Torner , “ Rotary dipole-mode solitons in Bessel optical lattices ,” J. Opt. B: Quantum Semiclass. Opt. 6 , 444 ( 2004 ). [CrossRef]
12 . Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Stable ring-profile vortex solitons in Bessel optical lattices ,” Phys. Rev. Lett. 94 , 043902 ( 2005 ). [CrossRef] [PubMed]
Acknowledgments
References and links
1 . | J. W. Fleischer , T. Carmon , M. Segev , N. K. Efremidis , and D. N. Christodoulides , “ Observation of discrete solitons in optically induced real time waveguide arrays ,” Phys. Rev. Lett. 90 , 023902 ( 2003 ). [CrossRef] [PubMed] |
2 . | J. W. Fleischer , M. Segev , N. K. Efremidis , and D. N. Christodoulides , “ Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices ,” Nature 422 , 147 ( 2003 ). [CrossRef] [PubMed] |
3 . | D. Neshev , E. Ostrovskaya , Y. Kivshar , and W. Krolikowski , “ Spatial solitons in optically induced gratings ,” Opt. Lett. 28 , 710 ( 2003 ). [CrossRef] [PubMed] |
4 . | Z. Chen , H. Martin , E. D. Eugenieva , J. Xu , and A. Bezryadina , “ Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains ,” Phys. Rev. Lett. 92 , 143902 ( 2004 ). [CrossRef] [PubMed] |
5 . | D. N. Neshev , T. J. Alexander , E. A. Ostrovskaya , Y. S. Kivshar , H. Martin , I. Makasyuk , and Z. Chen , “ Observation of discrete vortex solitons in optically induced photonic lattices ,” 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 , “ Observation of vortex-ring discrete solitons in 2D photonic lattices ,” Phys. Rev. Lett. 92 , 123904 ( 2004 ). [CrossRef] [PubMed] |
7 . | J. Yang , I. Makasyuk , P. G. Kevrekidis , H. Martin , B. A. Malomed , D. J. Frantzeskakis , and Z. Chen , “ Necklacelike solitons in optically induced photonic lattices ,” Phys. Rev. Lett. 94 , 113902 ( 2005 ). [CrossRef] [PubMed] |
8 . | B. B. Baizakov , B. A. Malomed , and M. Salerno , “ Multidimensional solitons in periodic potentials ,” Europhys. Lett. 63 , 642 ( 2003 ). [CrossRef] |
9 . | J. Arlt and K. Dholakia , “ Generation of high-order Bessel beams by use of an axicon ,” Opt. Commun. 177 , 297 ( 2000 ). [CrossRef] |
10 . | S. H. Tao , X.-C. Yuan , and B. S. Ahluwalia , “ The generation of an array of nondiffracting beams by a single composite computer generated hologram ,” J. Opt. A: Pure. Appl. Opt. 7 , 40 ( 2005 ). [CrossRef] |
11 . | Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Rotary solitons in Bessel optical lattices ,” Phys. Rev. Lett. 93 , 093904 ( 2004 ). [CrossRef] [PubMed] |
12 . | Y. V. Kartashov , V. A. Vysloukh , and L. Torner , “ Stable ring-profile vortex solitons in Bessel optical lattices ,” Phys. Rev. Lett. 94 , 043902 ( 2005 ). [CrossRef] [PubMed] |
13 . | Y. V. Kartashov , A. A. Egorov , V. A. Vysloukh , and L. Torner , “ Rotary dipole-mode solitons in Bessel optical lattices ,” J. Opt. B: Quantum Semiclass. Opt. 6 , 444 ( 2004 ). [CrossRef] |
14 . | Y. V. Kartashov , A. A. Egorov , V. A. Vysloukh , and L. Torner , “ Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices ,” Phys. Rev. E 70 , 065602 (R) ( 2004 ). [CrossRef] |
15 . | D. Mihalache , D. Mazilu , F. Lederer , B. A. Malomed , Y. V. Kartashov , L.-C. Crasovan , and L. Torner , “ Stable spatiotemporal solitons in Bessel optical lattices ,” Phys. Rev. Lett. 95 , 023902 ( 2005 ). [CrossRef] [PubMed] |
16 . | A. Desyatnikov , D. Neshev , E. Ostrovskaya , Y. S. Kivshar , W. Krolikowski , B. Luther-Davies , J. J. Garcia-Ripoll , and V. Perez-Garcia , “ Multipole spatial vector solitons ,” Opt. Lett. 26 , 435 ( 2001 ). [CrossRef] |
17 . | A. S. Desyatnikov , D. Neshev , E. A. Osrovskaya , Y. S. Kivshar , G. McCarthy , W. Krolikowski , and B. Luther-Davies , “ Multipole composite spatial solitons: theory and experiment ,” J. Opt. Soc. Am. B 19 , 586 ( 2002 ). [CrossRef] |
18 . | A. M. Glass and J. Strait , in “ Photorefractive Materials and their Applications I ,” P. Günter and J. P. Huignard eds., ( Springer, Berlin , 1988 ) pp. 237 – 262 . |
OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
ToC Category:
Research Papers
Citation
Yaroslav V. Kartashov, R. Carretero-Gonzalez, Boris A. Malomed, Victor A. Vysloukh, and Lluis Torner, "Multipole-mode solitons in Bessel optical lattices," Opt. Express 13, 10703-10710 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-26-10703
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References
- J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003). [CrossRef] [PubMed]
- J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147 (2003). [CrossRef] [PubMed]
- D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710 (2003). [CrossRef] [PubMed]
- Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004). [CrossRef] [PubMed]
- D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," 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, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004). [CrossRef] [PubMed]
- J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklacelike solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005). [CrossRef] [PubMed]
- B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in periodic potentials," Europhys. Lett. 63, 642 (2003). [CrossRef]
- J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297 (2000). [CrossRef]
- S. H. Tao, X.-C. Yuan, and B. S. Ahluwalia, "The generation of an array of nondiffracting beams by a single composite computer generated hologram," J. Opt. A: Pure. Appl. Opt. 7, 40 (2005). [CrossRef]
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Rotary solitons in Bessel optical lattices," Phys. Rev. Lett. 93, 093904 (2004). [CrossRef] [PubMed]
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Stable ring-profile vortex solitons in Bessel optical lattices," Phys. Rev. Lett. 94, 043902 (2005). [CrossRef] [PubMed]
- Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Rotary dipole-mode solitons in Bessel optical lattices," J. Opt. B: Quantum Semiclass. Opt. 6, 444 (2004). [CrossRef]
- Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Stable soliton complexes and azimuthal switching in modulated Bessel optical lattices," Phys. Rev. E 70, 065602(R) (2004). [CrossRef]
- D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, "Stable spatiotemporal solitons in Bessel optical lattices," Phys. Rev. Lett. 95, 023902 (2005). [CrossRef] [PubMed]
- A. Desyatnikov, D. Neshev, E. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. Garcia-Ripoll, and V. Perez-Garcia, "Multipole spatial vector solitons," Opt. Lett. 26, 435 (2001). [CrossRef]
- A. S. Desyatnikov, D. Neshev, E. A. Osrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, "Multipole composite spatial solitons: theory and experiment," J. Opt. Soc. Am. B 19, 586 (2002). [CrossRef]
- A. M. Glass and J. Strait, in "Photorefractive Materials and their Applications I," P. Günter and J. P. Huignard eds., (Springer, Berlin, 1988) pp. 237-262.
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