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Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media

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Abstract

The propagation of intense light beams in planar optical waveguides made of quadratic nonlinear media under conditions for second-harmonic generation is investigated. It is shown numerically that under appropriate conditions, input light beams break up into several spatial solitons that separate from each other and exit the waveguide at different positions. This paper reports the results of a series of numerical experiments and analytical investigations that were performed to elucidate the dynamics of the self-splitting process and discusses the implications of the results to the implementation of an eigenvalue switching device.

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References

  1. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Clarendon, Oxford, 1995).

    MATH  Google Scholar 

  2. G. I. Stegeman and E. M. Wright, Opt. Quantum Electron. 22 (1990) 95.

    Article  Google Scholar 

  3. M. N. Islam, Ultrafast Fiber Switching Devices and Systems (Cambridge University Press, Cambridge, 1992).

    Google Scholar 

  4. A. Barthelemy, S. Maneuf and C. Froehly, Opt. Commun. 55 (1985) 201.

    Article  ADS  Google Scholar 

  5. J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel and P. W. E. Smith, Opt. Lett. 15 (1990) 471.

    Article  ADS  Google Scholar 

  6. E. M. Wright, G. I. Stegeman, C. T. Seaton, J. V. Moloney and A. D. Boardman, Phys. Rev. A 34 (1986) 4442.

    Article  ADS  Google Scholar 

  7. J. V. Moloney, A. C. Newell and A. B. Aceves, Opt. Quantum Electron. 24 (1992) 1269.

    Article  Google Scholar 

  8. R. De La Fuente and A. Barthelemy, IEEE J. Quantum Electron. QE-28 (1992) 547.

    Article  ADS  Google Scholar 

  9. A. W. Snyder and A. P. Sheppard, Opt. Lett. 18 (1993) 482.

    ADS  Google Scholar 

  10. A. T. Ryan and G. P. Agrawal, Opt. Lett. 18 (1993) 1795.

    ADS  Google Scholar 

  11. A. D. Boardman and K. Xie, Radio Sci. 28 (1993) 891.

    ADS  Google Scholar 

  12. X. D. Cao and D. D. Meyerhofer, Opt. Lett. 19 (1994) 1711.

    ADS  Google Scholar 

  13. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo and S. Wabnitz, Phys. Rev. E 53 (1996) 1172.

    Article  ADS  Google Scholar 

  14. M. Segev, B. Crosignani, A. Yariv and B. Fischer, Phys. Rev. Lett. 68 (1992) 923.

    Article  ADS  Google Scholar 

  15. Yu. N. Karamzin and A. P. Sukhorukov, Sov. Phys. JETP 41 (1976) 414.

    ADS  Google Scholar 

  16. R. Schiek, J. Opt. Soc. Am. B 10 (1993) 1848.

    ADS  Google Scholar 

  17. M. J. Werner and P. D. Drummond, J. Opt. Soc. Am. B 10 (1993) 2390; Opt. Lett. 19 (1994) 613.

    ADS  Google Scholar 

  18. A. G. Kalocsai and J. W. Haus, Phys. Rev. A 49 (1994) 574.

    Article  ADS  Google Scholar 

  19. K. Hayata and M. Koshiba, Phys. Rev. Lett. 71 (1993) 3275.

    Article  ADS  Google Scholar 

  20. C. R. Menyuk, R. Schiek and L. Torner, J. Opt. Soc. Am. B 11 (1994) 2434.

    ADS  Google Scholar 

  21. M. A. Karpierz and M. Sypek, Opt. Commun. 110 (1994) 75.

    Article  ADS  Google Scholar 

  22. L. Torner, C. R. Menyuk and G. I. Stegeman, Opt. Lett. 19 (1994) 1615; J. Opt. Soc. Am. B 12 (1995) 889.

    Article  ADS  Google Scholar 

  23. A. V. Buryak and Y. S. Kivshar, Opt. Lett. 19 (1994) 1612; Phys. Lett. A 197 (1995) 407.

    ADS  Google Scholar 

  24. L. Torner, Opt. Commun. 114 (1995) 136.

    Article  ADS  Google Scholar 

  25. W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. Vanstryland, G. I. Stegeman, L. TORNER and C. R. Menyuk, Phys. Rev. Lett. 74 (1995) 5036.

    Article  ADS  Google Scholar 

  26. R. Schiek, Y. Baek and G. I. Stegeman, Phys. Rev. E 53 (1996) 1138.

    Article  ADS  Google Scholar 

  27. L. Torner, J. P. Torres and C. R. Menyuk, Opt. Lett. 21 (1996) 462.

    ADS  Google Scholar 

  28. L. Torner, D. Mihalache, D. Mazilu and N. N. Akhmediev, Opt. Lett. 20 (1995) 2183.

    ADS  Google Scholar 

  29. D. E. Pelinovsky, A. V. Buryak and Y. S. Kivshar, Phys. Rev. Lett. 75 (1995) 591.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  30. V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 34 (1972) 62.

    MathSciNet  ADS  Google Scholar 

  31. C. R. Menyuk, J. Opt. Soc. Am. B 10 (1993) 1585.

    ADS  Google Scholar 

  32. P. K. A. Wai, C. R. Menyuk, H. H. Chen and Y. C. LEE, Opt. Lett. 12 (1987) 628.

    ADS  Google Scholar 

  33. K. Tai, A. Hasegawa and N. Bekki, Opt. Lett. 13 (1988) 392.

    ADS  Google Scholar 

  34. Y. Silberberg, Opt. Lett. 15 (1990) 1005.

    ADS  Google Scholar 

  35. V. V. Afanasjev, J. S. Aitchison and Y. S. Kivshar, Opt. Commun. 116 (1995) 331.

    Article  ADS  Google Scholar 

  36. S. R. Friberg and K. W. Delong, Opt. Lett. 17 (1992) 979.

    ADS  Google Scholar 

  37. A. Hasegawa and T. Nyu, J. Lightwave Technol. LT-11 (1993) 395.

    Article  ADS  Google Scholar 

  38. G. L. Lamb Jr, Elements of Soliton Theory (Wiley, New York, 1980).

    MATH  Google Scholar 

  39. K. J. Blow and D. Wood, Opt. Commun. 58 (1986) 349.

    Article  ADS  Google Scholar 

  40. J. Satsuma and N. Yajima, Prog. Theor. Phys. Suppl. 55 (1974) 284.

    MathSciNet  ADS  Google Scholar 

  41. V. I. Karpman and E. M. Maslov, Sov. Phys. JETP 46 (1977) 281.

    MathSciNet  ADS  Google Scholar 

  42. L. Torner, W. E. Torruellas, G. I. Stegeman, and C. R. Menyuk, Opt. Lett. 20 (1995) 1952.

    ADS  Google Scholar 

  43. M. M. Fejer, G. A. Magel, D. H. Jundt and R. L. Byer, IEEE J. Quantum Electron. QE-28 (1992) 2631.s

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, Gran Capitan UPC-D3, Barcelona, ES 08034, Spain

    J. P. Torres & L. Torner

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  1. J. P. Torres
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  2. L. Torner
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Torres, J.P., Torner, L. Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media. Optical and Quantum Electronics 29, 757–776 (1997). https://doi.org/10.1023/A:1018509112579

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