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Optics Letters

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  • Vol. 18, Iss. 23 — Dec. 1, 1993
  • pp: 1999–2001

Effect of the detailed Raman cross section on soliton evolution

Raymond J. Hawkins and Curtis R. Menyuk  »View Author Affiliations


Optics Letters, Vol. 18, Issue 23, pp. 1999-2001 (1993)
http://dx.doi.org/10.1364/OL.18.001999


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Abstract

The effect of the detailed Raman cross section on the evolution of ultrashort solitons is considered. It is shown that the gain contribution leads to the self-frequency shift, whereas the phase contribution, which is usually determined by use of the Kramers–Kronig relations, has little visible effect. This result is consistent with the hypothesis that solitons are robust in the presence of Hamiltonian deformations.

© 1993 Optical Society of America

History
Original Manuscript: June 4, 1993
Published: December 1, 1993

Citation
Raymond J. Hawkins and Curtis R. Menyuk, "Effect of the detailed Raman cross section on soliton evolution," Opt. Lett. 18, 1999-2001 (1993)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-18-23-1999


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References

  1. F. M. Mitschke, L. F. Mollenauer, Opt. Lett. 11, 659 (1986); E. M. Dianov, A. Ya. Karasik, P. V. Mamyshev, A. M. Prokhorov, V. N. Serkin, M. R. Stelnakh, A. A. Formichev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 242 (1985) [JETP Lett. 41, 294 (1985)]. [CrossRef] [PubMed]
  2. J. P. Gordon, Opt. Lett. 11, 662 (1986). [CrossRef] [PubMed]
  3. M. N. Islam, Ultrafast Fiber Switching Devices and Systems (Cambridge U. Press, Cambridge, 1992), App. B, pp. 176–199.
  4. R. H. Stolen, J. P. Gordon, W. J. Tomlinson, H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989). [CrossRef]
  5. K J. Blow, D. Wood, IEEE J. Quantum Electron. 25, 2665 (1989). [CrossRef]
  6. R. H. Stolen, AT&T Bell Laboratories, Muray Hill, N.J. 07733 (personal communication, 1991).
  7. C. R. Menyuk, J. Opt. Soc. Am. B 10, 1585 (1993);in Guided Wave Nonlinear Optics, D. B. Ostrowsky, R. Reinisch, eds. (Kluwer, Dordrecht, The Netherlands, 1991), pp. 457–488. [CrossRef]
  8. The measured Raman response function f(s) used in this study was provided by R. H. Stolen of AT&T Bell Laboratories and was reported in Ref. 4.
  9. The use of a numerical evaluation of the ZSE to measure soliton content was, to our knowledge, first reported by K. J. Blow, D. Wood, Opt. Commun. 58, 349 (1986). This technique is presented in more detail by S. R. Friberg, K. W. DeLong, Opt. Lett. 17, 979 (1992). We are grateful to K. J. Blow of British Telecom Laboratories for his help in our numerical implementation of this technique. [CrossRef] [PubMed]
  10. R. H. Stolen, W. J. Tomlinson, J. Opt. Soc. Am. B 9, 565 (1992). [CrossRef]

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