Skip to main content
SpringerLink
Log in

Soliton switching in nonlinear couplers

  • Invited Paper
  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

We present a theoretical overview of soliton switching phenomena in two-mode nonlinear couplers. By complementing numerical studies with perturbative or exact solitary wave solutions, one finds that nonlinear Schrödinger or sine-Gordon solitons tend to maintain their identity in the coupled systems. Moreover, the coupling itself may originate novel vector solitary waves, such as gap solitons in periodic media. The switching dynamics in the presence of dissipative perturbations such as linear gain or intrapulse Raman scattering is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. L. McCall andE. L. Hahn,Phys Rev. Lett. 18 (1967) 908.

    Google Scholar 

  2. Y. Kodama andH. Hasegawa,IEEE J. Quantum Electron. QE-23 (1987) 510.

    Google Scholar 

  3. B. Crosignani, A. Cutolo andP. Di Porto,J. Opt. Soc. Am. 72 (1982) 1136.

    Google Scholar 

  4. V. E. Zakharov andA. B. Shabat,Zh. Eksp. Teor. Fiz. 61 (1971) 118 [Sov. Phys. JETP 34 (1972) 62].

    Google Scholar 

  5. V. E. Zakharov andE. I. Chulman,Physica 4D (1982) 270.

    Google Scholar 

  6. K. J. Blow, N. J. Doran andD. Wood,Opt. Lett. 12 (1987) 202.

    Google Scholar 

  7. E. M. Wright, G. I. Stegeman andS. Wabnitz,Phys. Rev. A 40 (1989) 4455.

    Google Scholar 

  8. S. Trillo, S. Wabnitz, E. M. Wright andG. I. Stegeman,Opt. Lett. 13 (1988) 672.

    Google Scholar 

  9. S. Trillo, S. Wabnitz, E. M. Wright andG. I. Stegeman,Opt. Commun. 70 (1989) 166.

    Google Scholar 

  10. R. H. Stolen, A. Ashkin, W. Pleibel andJ. M. Dziedzic,Opt. Lett. 9 (1984) 300.

    Google Scholar 

  11. S. M. Jensen,IEEE J. Quantum Electron. QE-18 (1982) 1580;A. A. Maier,Sov. J. Quantum Electron. 12 (1982) 1490;ibid. 14 (1984) 101.

    Google Scholar 

  12. S. Wabnitz, E. M. Wright, C. T. Seaton andG. I. Stegeman,Appl. Phys. Lett. 49 (1986) 838.

    Google Scholar 

  13. H. G. Winful,Appl. Phys. Lett. 47 (1985) 213.

    Google Scholar 

  14. B. Daino, G. Gregori andS. Wabnitz,J. Appl. Phys. 58 (1985) 4512.

    Google Scholar 

  15. F. Matera andS. Wabnitz,Opt. Lett. 11 (1986) 467.

    Google Scholar 

  16. H. G. Winful andA. Hu,Opt. Lett. 11 (1986) 668.

    Google Scholar 

  17. S. Trillo andS. Wabnitz,Appl. Phys. Lett. 49 (1986) 752.

    Google Scholar 

  18. A. Mecozzi, S. Trillo andS. Wabnitz,Opt. Lett. 12 (1987) 275.

    Google Scholar 

  19. B. Daino, G. Gregori andS. Wabnitz,Opt. Lett. 11 (1986) 42.

    Google Scholar 

  20. H. G. Winful,Opt. Lett. 11 (1986) 33.

    Google Scholar 

  21. G. Gregori andS. Wabnitz,Phys. Rev. Lett. 56 (1986) 600.

    Google Scholar 

  22. E. Caglioti, S. Trillo andS. Wabnitz,Opt. Lett. 12 (1987) 1044.

    Google Scholar 

  23. D. D. Gusovskii, E. M. Dianov, A. A. Maier, V. B. Neustreuev, E. I. Shklovskii andA. Shcherbakov,Sov. J. Quantum Electron. 15 (1985) 1523;D. D. Gusovskii, E. M. Dianov, A. A. Maier et al., Sov. J. Quantum Electron. 17 (1985) 724;A. A. Maier, YU. N. Serdyuchenko, K. Yu. Sitarskii, M. Ya. Shchelev andI. A. Shcherbakov,Sov. J. Quantum Electron. 17 (1987) 735.

    Google Scholar 

  24. S. Trillo, S. Wabnitz, R. H. Stolen, G. Assanto, C. T. Seaton andG. I. Stegeman,Appl. Phys. Lett. 49 (1986) 1224.

    Google Scholar 

  25. S. Trillo, S. Wabnitz, N. Finlayson et al., Appl. Phys. Lett. 53 (1988) 837;S. Trillo, S. Wabnitz, W. C. Banyai et al., IEEE J. Quantum Electron. QE-25 (1989) 104.

    Google Scholar 

  26. S. R. Friberg, Y. Silberberg, M. K. Oliver, M. J. Andrejco, M. A. Saifi andP. W. Smith,Appl. Phys. Lett. 51 (1987) 1135;S. R. Friberg, A. M. Weiner, Y. Silberberg, B. G. Sfez andP. W. Smith,Opt. Lett. 13 (1988) 904.

    Google Scholar 

  27. N. J. Doran andD. Wood,Opt. Lett. 13 (1988) 56.

    Google Scholar 

  28. A. M. Weiner, Y. Silberberg, H. Fouckhardt et al., IEEE J. of Quantum Electron. QE-25 (1989) 2648.

    Google Scholar 

  29. S. Trillo, S. Wabnitz andG. I. Stegeman,IEEE J. of Quantum Electron. QE-25 (1989) 1907.

    Google Scholar 

  30. N. J. Doran andD. Wood,J. Opt. Soc. Am. B 4 (1987) 1843;K. J. Blow, N. J. Doran andB. K. Nayar,Opt. Lett. 14 (1989) 754.

    Google Scholar 

  31. M. N. Islam, E. R. Sunderman, R. H. Stolen, W. Pleibel andJ. R. Simpson,Opt. Lett. 14 (1989) 811.

    Google Scholar 

  32. S. Trillo andS. Wabnitz,Opt. Lett. 16 (1991) 1.

    Google Scholar 

  33. S. V. Manakov,Zh. Eksp. Teor. Fiz. 65 (1973) 505 [Sov. Phys. JETP 38 (1974) 248].

    Google Scholar 

  34. D. J. Kaup andA. C. Newell,Proc. Roy. Soc. London, Ser A 361 (1978) 413.

    Google Scholar 

  35. D. Muraki andW. L. Kath,Phys. Lett. A 139 (1989) 379.

    Google Scholar 

  36. F. Kh. Abdullaev, R. M. Abrarov andS. A. Darmanyan,Opt. Lett. 14 (1989) 131.

    Google Scholar 

  37. Y. Kivshar andB. Malomed,Opt. Lett. 14 (1989) 1365.

    Google Scholar 

  38. T. Ueda andW. L. Kath,Phys. Rev. A 42 (1990) 563.

    Google Scholar 

  39. Y. Kivshar,J. Opt. Soc. Am. B 7 (1990) 2204.

    Google Scholar 

  40. B. Malomed,Phys. Rev. A 43 (1991) 410.

    Google Scholar 

  41. E. Caglioti, S. Trillo, S. Wabnitz, B. Crosignani andP. Di Porto,J. Opt. Soc. Am. B 7 (1990) 374.

    Google Scholar 

  42. L. Brillouin,Wave Propagation in Periodic Structures (McGraw-Hill, New York, 1946).

    Google Scholar 

  43. A. Yariv andM. Nakamura,IEEE J. Quantum Electron. QE-13 (1977) 233.

    Google Scholar 

  44. H. G. Winful,Appl. Phys. Lett. 46 (1985) 527.

    Google Scholar 

  45. S. Wabnitz,Opt. Lett. 14 (1989) 1071.

    Google Scholar 

  46. E. A. Kuznetsov andA. V. Mikhailov,Teor. Mat. Fiz. 30 (1977) 193.

    Google Scholar 

  47. D. J. Kaup andA. C. Newell,Lett. Nuovo Cimento 20 (1977) 325.

    Google Scholar 

  48. D. N. Christodoulides andR. J. Joseph,Phys. Rev. Lett. 62 (1989) 1746.

    Google Scholar 

  49. A. B. Aceves andS. Wabnitz,Phys. Lett. A 141 (1989) 37.

    Google Scholar 

  50. C. M. De Sterke andJ. E. Sipe,Phys. Rev. A 42 (1990) 550.

    Google Scholar 

  51. S. Wabnitz, S. Trillo, E. M. Wright andG. I. Stegeman,J. Opt. Soc. Am. B 8 (1991) 602.

    Google Scholar 

  52. H. G. Park andB. Y. Kim,Electron. Lett. 12 (1989) 797;F. Bilodeau, K. O. Hill, B. Malo, D. C. Johnson andI. M. Skinner,Electron. Lett. 27 (1991) 682.

    Google Scholar 

  53. R. C. Alferness,Appl. Phys. Lett. 36 (1980) 513.

    Google Scholar 

  54. R. C. Alferness andR. V. Schmidt,Appl. Phys. Lett. 33 (1978) 161.

    Google Scholar 

  55. R. Zengerle andO. G. Leminger,J. Lightwave Technol. LT 14 (1986) 823.

    Google Scholar 

  56. A. B. Aceves andS. Wabnitz,Opt. Lett. 17 (1992) 25.

    Google Scholar 

  57. P. A. Bélanger andC. Paré,Phys. Rev. A 41 (1990) 5254.

    Google Scholar 

  58. J. P. Gordon,Opt. Lett. 11 (1986) 662.

    Google Scholar 

  59. R. Hellwarth, J. Cherlow andT. T. Yang,Phys. Rev. B 11 (1975) 964;R. Hellwarth,Prog. Quant. Electron. 5 (1977) 1.

    Google Scholar 

  60. R. H. Stolen, J. P. Gordon, W. J. Tomlinson andH. A. Haus,J. Opt. Soc. Am. B 6 (1989) 1159.

    Google Scholar 

  61. K. J. Blow andD. Wood,IEEE J. Quantum Electron. QE-25 (1989) 2665.

    Google Scholar 

  62. A. Cosentino, M. Romagnoli, S. Trillo, R. Vozzella andS. Wabnitz,Techn. Digest of the Integrated Photonics Research 90 topical meeting, Hilton Head, March 1990 (Optical Society of America, Washington, DC, 1990).

    Google Scholar 

  63. S. Trillo andS. Wabnitz,J. Opt. Soc. Am. B 9 (1992) 1061.

    Google Scholar 

  64. E. A. Golovchenko andA. N. Pilipetski,Sov. Lightwave Commun. 1 (1991) 271.

    Google Scholar 

  65. C. R. Menyuk, M. N. Islam andJ. P. Gordon,Opt. Lett. 16 (1991) 566.

    Google Scholar 

  66. C. J. Chen, C. R. Menyuk, M. N. Islam andR. H. Stolen,Opt. Lett. 16 (1991) 1647.

    Google Scholar 

  67. G. L. Lamb,Rev. Mod. Phys. 43 (1971) 99.

    Google Scholar 

  68. C. K. Rhode andA. Szoke,Phys. Rev. 184 (1969) 25;F. M Mattar andM. C. Newstein,J. Quant. Electr. QE-13 (1977) 507;M. J. Ablowitz andY. Kodama,Phys. Lett. A 70 (1979) 83.

    Google Scholar 

  69. U. Langbein, F. Lederer andH. E. Ponath,Opt. Quant. Electron. 16 (1984) 251.

    Google Scholar 

  70. S. Romagnoli, S. Wabnitz andL. Zoccolotti,Opt. Lett. 16 (1991) 1249.

    Google Scholar 

  71. M. Nakazawa, Y. Kimura, K. Kurokawa andK. Suzuki,Phys. Rev. A 45 (1992) R23.

    Google Scholar 

  72. A. Guzman, M. Romagnoli andS. Wabnitz,Appl. Phys. Lett. 56 (1990) 614;A. Guzman, F. S. Locati, M. Romagnoli andS. Wabnitz,Phys. Rev. A 46 (1992) 1594.

    Google Scholar 

  73. K. J. Blow, N. J. Doran andD. Wood,Opt. Lett. 12 (1987) 1013.

    Google Scholar 

  74. J. Wilson, G. I. Stegeman andE. M. Wright,Opt. Lett. 16 (1991) 1653.

    Google Scholar 

  75. F. S. Locati, M. Romagnoli, A. Tajani andS. Wabnitz,Opt. Lett. 17 (1992) 1213.

    Google Scholar 

  76. A. Hasegawa andY. Kodama,Proc. IEEE 69 (1981) 1145.

    Google Scholar 

  77. M. Romagnoli, F. S. Locati, F. Matera, M. Settembre, M. Tamburrini andS. Wabnitz,Opt. Lett. 17 (1992) 923.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fondazione Ugo Bordoni, Via B. Castiglione 59, 00142, Rome, Italy

    M. Romagnoli, S. Trillo & S. Wabnitz

Authors
  1. M. Romagnoli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Trillo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Wabnitz
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romagnoli, M., Trillo, S. & Wabnitz, S. Soliton switching in nonlinear couplers. Opt Quant Electron 24, S1237–S1267 (1992). https://doi.org/10.1007/BF00624672

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00624672

Keywords

Search

Navigation