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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 10 — May. 17, 2004
  • pp: 2193–2206

Colored solitons interactions: particle-like and beyond

E. Feigenbaum and M. Orenstein  »View Author Affiliations


Optics Express, Vol. 12, Issue 10, pp. 2193-2206 (2004)
http://dx.doi.org/10.1364/OPEX.12.002193


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Abstract

The interaction of two colored solitons was analyzed in the framework of a particle-like model, derived from a soliton perturbation theory. From “energy” considerations, a soliton capture threshold and the re-coloring of the escaping solitons were derived. The results were compared to the spectral boundaries of a second order soliton as well as to previous reports. The capture of colored solitons was shown to be impractical without additional means. This particle-like model was further generalized to apply also for non-equal intensity colored solitons. Detailed calculations—beyond the particle-like approximation, exhibited additional mechanisms, namely dissipation and friction-like forces, which served as sources for the relaxation of the solitons oscillations within the captured state, thus enhancing the capture phenomenon.

© 2004 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.2640) Nonlinear optics : Stimulated scattering, modulation, etc.
(190.3270) Nonlinear optics : Kerr effect
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(200.4740) Optics in computing : Optical processing
(210.4680) Optical data storage : Optical memories

ToC Category:
Research Papers

History
Original Manuscript: February 17, 2004
Revised Manuscript: May 3, 2004
Published: May 17, 2004

Citation
E. Feigenbaum and Meir Orenstein, "Colored solitons interactions: particle-like and beyond," Opt. Express 12, 2193-2206 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-10-2193


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References

  1. M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, �??Infinite-distance soliton transmission with soliton controls in time and frequency domains,�?? Elec. Lett. 28, 1099-1100 (1992). [CrossRef]
  2. H.A. Haus, �??Lecture 11�?? in Optical Solitons: Theoretical Challenges and Industrial Perspectives, V.E. Zakarov and S. Wabnitz, ed. (Springer, NY, 1999).
  3. R. A. Barry, V. W. S. Chan, K. L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, �??All-optical network consortium �?? ultrafast TDM networks,�?? J. Selected Areas In Com. 14, 999-1012 (1996). [CrossRef]
  4. A. Agarwal, L. Wang, Y. Su, and P. Kumar, �??All-optical erasable storage buffer based on parametric nonlinearity in fiber,�?? OFC 2001, Th-H5 (2001)
  5. H. Avramopoulos and A. Whitaker, �??Addressable fiber-loop memory,�?? Opt. Lett. 18, 22-24 (1993). [CrossRef] [PubMed]
  6. C.R. Menyuk, �??Stability of solitons in birefringent optical fibers. I: Equal propagation amplitudes,�?? Opt. Lett. 12, 614-616 (1987). [CrossRef] [PubMed]
  7. M.N. Islam, Ultrafast Fiber Switching Devices and Systems, (Cambridge, GB, 1992).
  8. M.W. Chbat, C.R. Menyuk, I. Glesk, and P.R. Pruncnal, �??Interactions of bound multiple soliton in strongly birefringent fibers,�?? Opt. Lett. 20, 258-260 (1995) [CrossRef] [PubMed]
  9. M.N. Islam, �??Ultrafast all-optical logic gates based on soliton trapping in fibers,�?? Opt. Lett. 14, 1257-1259 (1989) [CrossRef] [PubMed]
  10. C.E. Soccolich, M.W. Chabat, M.N. Islam, and P.R. Prucnal, �??Cascade of ultrafast soliton-dragging and trapping logic gates,�?? IEEE Phot. Tech. Lett. 4, 1043-1046 (1992) [CrossRef]
  11. D.J. Kaup and B.A. Malomed, �??Soliton trapping and daughter waves in the Manakov model,�?? Phys. Rev. A 48, 599-604 (1993) [CrossRef] [PubMed]
  12. B.A. Malomed and R.S. Tasgal , �??Internal vibrations of a vector soliton in the coupled nonlinear Schrodinger equations,�?? Phys. Rev. E 58, 2564-2575 (1998) [CrossRef]
  13. B.A. Malomed, �??Polarization dynamics and interactions of solitons in a birefringent optical fiber,�?? Phys. Rev. A 43, 410-423 (1991). [CrossRef] [PubMed]
  14. M.F. Mahmood, W.W. Zachary, and T.L. Gill, �??Polarization dynamics of vector solitons in an elliptically low-birefringent Kerr medium,�?? Opt. Eng. 35, 1844-1846 (1996) [CrossRef]
  15. G.P. Agrawal, Nonlinear Fiber Optics, 2�??nd Ed, (Academic Press, NY, 1995), Chap. 2,7.
  16. Y.R. Shen, The principles of nonlinear optics, (Wiley, New York, 1984), 40.
  17. M. Karlsson, D Anderson, A Höök, and M. Lisak, �??A variational approach to optical soliton collisions,�?? Phys. Scripta 50, 265-270 (1994). [CrossRef]
  18. A. Meccozi, J.D. Moors, H.A. Haus, and Y. Lai, �??Modulation and filtering control of soliton transmission,�?? J. Opt. Soc. Am. B 9, 1350-1357 (1992); L.F. Mollenauer, S.G. Evangelides, J.P. Gordon, �??Wavelength division with solitons in ultra-long distance transmission using lumped amplifiers,�?? J. Lightwave Technol. 9, 362-367 (1991). [CrossRef]
  19. D. Arbel and M. Orenstein �??Self stabilization of dense soliton trains is passively mode-locked ring laser,�?? IEEE J. of Quant. Elec. 35, 977-982 (1999) [CrossRef]
  20. H.A. Haus and W.S. Wong, �??Solitons in optical communications,�?? Rev. Mod. Phys. 68, 423-444 (1996) [CrossRef]
  21. E. Feigenbaum and M. Orenstein, �??Mutual Capture of Colored Solitons Assisted by Matched Modulator,�?? Submitted
  22. C.R. Menyuk, �??Application of multiple-length-scale method to the study of optical fiber transmission,�?? J. Eng. Math. 36, 113-136 (1999). [CrossRef]
  23. J.P. Gordon, �??Interaction forces in optical fibers,�?? Opt. Lett. 8, 596-598 (1983). [CrossRef] [PubMed]
  24. S. Novikov, S.V. Manakov, L.P. Pitaevskii, and V.E. Zakharov, Theory of solitons �?? The inverse scattering method, (Plenum Press, New York ,1984), 68-79
  25. N. C. Panoiu, I. V. Mel�??nikov, D. Mihalache, C. Etrich, and F. Lederer, �??Soliton generation in optical fibers for dual-frequency input,�?? Phys. Rev. E 60, 4868-4876 (1999). [CrossRef]
  26. H. A. Haus, W. S. Wong, and F.I. Khatri, �??Continuum generation by perturbation of soliton,�?? J. Opt. Soc. Am. B 14, 304-313 (1997). [CrossRef]
  27. E. Feigenbaum, �??Multi-colored optical storage rings �?? solitons interaction,�?? Thesis (EE Department - Technion, Israel, 2003)
  28. A. Mecozzi and H. A. Haus, �??Effect of filter on soliton interactions in wavelength-division-multiplexing systems,�?? Opt. Lett. 17, 988-990 (1992). [CrossRef] [PubMed]

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