Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Soliton switching in nonlinear couplers

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 to check access.

References

  1. 1.

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

  2. 2.

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

  3. 3.

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

  4. 4.

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

  5. 5.

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

  6. 6.

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

  7. 7.

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

  8. 8.

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

  9. 9.

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

  10. 10.

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

  11. 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.

  12. 12.

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

  13. 13.

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

  14. 14.

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

  15. 15.

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

  16. 16.

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

  17. 17.

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

  18. 18.

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

  19. 19.

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

  20. 20.

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

  21. 21.

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

  22. 22.

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

  23. 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.

  24. 24.

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

  25. 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.

  26. 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.

  27. 27.

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

  28. 28.

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

  29. 29.

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

  30. 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.

  31. 31.

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

  32. 32.

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

  33. 33.

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

  34. 34.

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

  35. 35.

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

  36. 36.

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

  37. 37.

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

  38. 38.

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

  39. 39.

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

  40. 40.

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

  41. 41.

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

  42. 42.

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

  43. 43.

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

  44. 44.

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

  45. 45.

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

  46. 46.

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

  47. 47.

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

  48. 48.

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

  49. 49.

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

  50. 50.

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

  51. 51.

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

  52. 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.

  53. 53.

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

  54. 54.

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

  55. 55.

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

  56. 56.

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

  57. 57.

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

  58. 58.

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

  59. 59.

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

  60. 60.

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

  61. 61.

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

  62. 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).

  63. 63.

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

  64. 64.

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

  65. 65.

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

  66. 66.

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

  67. 67.

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

  68. 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.

  69. 69.

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

  70. 70.

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

  71. 71.

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

  72. 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.

  73. 73.

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

  74. 74.

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

  75. 75.

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

  76. 76.

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

  77. 77.

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

Download references

Author information

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

Keywords

  • Soliton
  • Coupler
  • Solitary Wave
  • Wave Solution
  • Couple System