## Energy-exchange collision of the Manakov vector solitons under strong environmental perturbations

JOSA B, Vol. 24, Issue 3, pp. 592-605 (2007)

http://dx.doi.org/10.1364/JOSAB.24.000592

Enhanced HTML Acrobat PDF (274 KB)

### Abstract

We use a collective-variable approach to study the dynamical behavior of vector solitons in the Manakov system under strong environmental perturbations induced by the fiber losses and a modified cross-phase modulation parameter. We identify and discuss the salient features associated with energy-exchange collisions of transmissional and reflectional types. Particularly, we find that such perturbations can induce important effects not only on fundamental soliton parameters such as the peak power, central position, width, chirp, and frequency, but also on the nature of the collision. Interestingly, we find that the perturbations lead to only a slight alteration of collision-induced energy-switching processes. A property of high robustness of the energy-exchange collision of the Manakov vector solitons is thus demonstrated.

© 2007 Optical Society of America

**OCIS Codes**

(190.0190) Nonlinear optics : Nonlinear optics

(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

**ToC Category:**

Nonlinear Optics

**History**

Original Manuscript: July 20, 2006

Manuscript Accepted: September 3, 2006

Published: February 15, 2007

**Citation**

P. Tchofo Dinda, R. Radhakrishnan, and T. Kanna, "Energy-exchange collision of the Manakov vector solitons under strong environmental perturbations," J. Opt. Soc. Am. B **24**, 592-605 (2007)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-3-592

Sort: Year | Journal | Reset

### References

- Yu. S. Kivshar and G. P. Agrawal, Optical Solitons, 2nd ed. (Academic, 2003).
- G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, 1995).
- A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, 1995).
- S. V. Manakov, "On the theory of two-dimensional stationary self-focusing of electomagnetic waves," Sov. Phys. JETP 38, 248-253 (1974).
- R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, "Inelastic collision and switching of coupled bright solitons in optical fibers," Phys. Rev. E 56, 2213-2216 (1997). [CrossRef]
- Y. Bard and Y. Silberberg, "Polarization evolution and polarization instability of solitons in birefringent optical fibers," Phys. Rev. Lett. 78, 3290-3293 (1997). [CrossRef]
- 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, 3699-3702 (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, 3066-3077 (1997). [CrossRef]
- J. Babarro, M. J. Paz-alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, "Controllable scattering of vector Bose-Einstein solitons," Phys. Rev. A 71, 043608 (2005). [CrossRef]
- C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, "Information transfer through cascaded collisions of vector solitons," Opt. Lett. 26, 1498-1500 (2001). [CrossRef]
- M. H. Jakubowski, K. Steiglitz, and R. Squier, "State transformations of colliding optical solitons and possible application to computation in bulk media," Phys. Rev. E 58, 6752-6758 (1998). [CrossRef]
- E. Feigenbaum and M. Orenstein, "Coherent interactions of colored solitons via parametric processes: modified perturbation analysis," J. Opt. Soc. Am. B 22, 1414-1423 (2005). [CrossRef]
- A. A. Sukhorukov and N. N. Akhmediev, "Multiport soliton devices with controllable transmission," Opt. Lett. 28, 908-910 (2003). [CrossRef] [PubMed]
- N. Lazarides and G. P. Tsironis, "Coupled nonlinear Schrödinger field equations for electromagnetic wave propagation in nonlinear left-handed materials," Phys. Rev. E 71, 036614 (2005). [CrossRef]
- T. Kanna and M. Lakshmanan, "Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrödinger equations," Phys. Rev. Lett. 86, 5043-5046 (2001). [CrossRef] [PubMed]
- T. Kanna and M. Lakshmanan, "Exact soliton solutions of coupled nonlinear Schrödinger equations: shape changing collisions, logic gates, and partially coherent solitons," Phys. Rev. E 67, 046617 (2003). [CrossRef]
- K. Steiglitz, "Time-gated Manakov spatial solitons are computationally universal," Phys. Rev. E 63, 016608 (2000). [CrossRef]
- M. J. Ablowitz, B. Prinari, and A. D. Trubatch, "Soliton interaction in the vector NLS equations," Inverse Probl. 20, 1217-1237 (2004). [CrossRef]
- R. Radhakrishnan, P. Tchofo Dinda, and G. Millot, "Efficient control of the energy-exchange due to the Manakov vector-soliton collision," Phys. Rev. E 69, 046607 (2003). [CrossRef]
- Y. Kodama and M. J. Ablowitz, "Perturbations of solitons and solitary waves," Stud. Appl. Math. 64, 225-245 (1981).
- V. I. Karpman and V. V. Solovev, "A perturbational approach to the two soliton system," Physica D 3, 487-502 (1981). [CrossRef]
- V. S. Schesnovich and E. V. Doktorov, "Perturbation theory for solitons of the Manakov system," Phys. Rev. E 55, 7626-7635 (1997). [CrossRef]
- T. I. Lakoba and D. J. Kaup, "Perturbation theory for the Manakov soliton and its applications to pulse propagation in randomly birefringent fibers," Phys. Rev. E 56, 6147-6165 (1997). [CrossRef]
- J. Yang, "Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics," Phys. Rev. E 59, 2393-2405 (1999). [CrossRef]
- J. Yang, "Interactions of vector solitons," Phys. Rev. E 64, 026607 (2001). [CrossRef]
- D. Anderson, "Variational approach to nonlinear pulse propagation in optical fibers," Phys. Rev. A 27, 3135-3145 (1983). [CrossRef]
- P. Tchofo Dinda, K. Nakkeeran, and A. B. Moubissi, "Collective variable theory for optical solitons in fibers," Phys. Rev. E 64, 016608 (2001). [CrossRef]
- P. Tchofo Dinda, G. Millot, E. Seve, and M. Haelterman, "Demonstration of a nonlinear gap in the modulational instability spectra of wave propagation in highly birefringent fibers," Opt. Lett. 21, 1640-1642 (1996). [CrossRef]

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

### Figures

Fig. 1 |
Fig. 2 |
Fig. 3 |

Fig. 4 |
Fig. 5 |
Fig. 6 |

Fig. 7 |
Fig. 8 |
Fig. 9 |

Fig. 10 |
Fig. 11 |
Fig. 12 |

Fig. 13 |
Fig. 14 |
Fig. 15 |

Fig. 16 |
Fig. 17 |
Fig. 18 |

« Previous Article | Next Article »

OSA is a member of CrossRef.