OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 14, Iss. 6 — Jun. 1, 1997
  • pp: 1437–1443

Propagation of short optical pulses in directional couplers with Kerr nonlinearity

Kin Seng Chiang  »View Author Affiliations


JOSA B, Vol. 14, Issue 6, pp. 1437-1443 (1997)
http://dx.doi.org/10.1364/JOSAB.14.001437


View Full Text Article

Acrobat PDF (267 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The switching dynamics of short optical pulses in a directional coupler made of two single-mode fibers (or waveguides), which is assumed to possess uniform Kerr nonlinearity, is investigated theoretically. When the nonlinearity is weak, the function of the coupler can be described by the beating between the symmetric and the antisymmetric modes of the composite waveguide structure. The group-delay difference between these two modes (intermodal dispersion) can give rise to pulse broadening or even pulse breakup. New normal-mode equations and coupled-mode equations that include the effect of intermodal dispersion are derived and discussed. The intermodal dispersion in the normal-mode formulation is found to be equivalent to the coupling-coefficient dispersion in the coupled-mode formulation. In many practical cases the intermodal dispersion is much more significant than the group-velocity dispersion, and soliton pulses are switched in the same way as any low-power linear pulses. Only in the special case that the intermodal dispersion is negligible, compared with the group-velocity dispersion, do the new coupled-mode equations reduce to the well-known linearly coupled nonlinear Schrödinger equations. A normalized parameter is proposed to determine the relative importance of the two dispersion effects.

© 1997 Optical Society of America

Citation
Kin Seng Chiang, "Propagation of short optical pulses in directional couplers with Kerr nonlinearity," J. Opt. Soc. Am. B 14, 1437-1443 (1997)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-14-6-1437


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. K. S. Chiang, “Intermodal dispersion in two-core optical fibers,” Opt. Lett. 20, 997 (1995).
  2. K. S. Chiang, “Bandwidths of optical fibre directional couplers,” J. Electr. Electron. Eng. Australia 15, 261 (1995).
  3. S. M. Jensen, “The nonlinear coherent coupler,” IEEE J. Quantum Electron. QE-18, 158 (1982).
  4. S. Trillo, S. Wabnitz, E. M. Wright, and G. I. Stegeman, “Soliton switching in fiber nonlinear directional couplers,” Opt. Lett. 13, 672 (1988).
  5. C. Paré and M. Florjańczyk, “Approximate model of soliton dynamics in all-optical couplers,” Phys. Rev. A 41, 6287 (1990).
  6. J. M. Soto-Crespo and E. M. Wright, “All-optical switching of solitons in two- and three-core nonlinear fiber couplers,” J. Appl. Phys. 70, 7240 (1991).
  7. M. Romagnoli, S. Trillo, and S. Wabnitz, “Soliton switching in nonlinear couplers,” Opt. Quantum Electron. 24, S1237 (1992).
  8. P. L. Chu, B. A. Malomed, and G. D. Peng, “Analytical solution to soliton switching in nonlinear twin-core fibers,” Opt. Lett. 18, 328 (1993).
  9. Y. S. Kivshar, “Switching dynamics of solitons in fiber directional couplers,” Opt. Lett. 18, 7 (1993).
  10. N. Akhmediev and A. Ankiewicz, “Novel soliton states and bifurcation phenomena in nonlinear fiber couplers,” Phys. Rev. Lett. 70, 2395 (1993).
  11. P. L. Chu, B. A. Malomed, and G.-D. Peng, “Soliton switching and propagation in nonlinear fiber couplers: analytical results,” J. Opt. Soc. Am. B 10, 1379 (1993).
  12. S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi, and P. W. Smith, “Ultrafast all-optical switching in a dual-core fiber nonlinear coupler,” Appl. Phys. Lett. 51, 1135 (1987).
  13. S. R. Friberg, A. M. Weiner, Y. Silberberg, B. G. Sfez, and P. W. Smith, “Femtosecond switching in a dual-core-fiber nonlinear coupler,” Opt. Lett. 13, 904 (1988).
  14. K. Kitayama and S. Wang, “Optical pulse compression by nonlinear coupling,” Appl. Phys. Lett. 43, 17 (1983).
  15. A. M. Weiner, Y. Silberberg, H. Fouckhardt, D. E. Leaird, M. A. Saifi, M. J. Andrejco, and P. W. Smith, “Use of femtosecond square pulses to avoid pulse breakup in all-optical switching,” IEEE J. Quantum Electron. 25, 2648 (1989).
  16. Y. Silberberg and G. I. Stegeman, “Nonlinear coupling of waveguide modes,” Appl. Phys. Lett. 50, 801 (1987).
  17. A. Hasegawa, “Self-confinement of multimode optical pulse in a glass fiber,” Opt. Lett. 5, 416 (1980).
  18. B. Crosignani and P. Di Porto, “Soliton propagation in multimode optical fibers,” Opt. Lett. 6, 329 (1981).
  19. C. R. Menyuk, “Stability of solitons in birefringent optical fibers. I. Equal propagation amplitudes,” Opt. Lett. 12, 614 (1987).
  20. C. R. Menyuk, “Stability of solitons in birefringent optical fibers. II. Arbitrary amplitudes,” J. Opt. Soc. Am. B 5, 392 (1988).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited