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Soliton dynamics in velocity matched ultrafast frequency conversion processes

  • Optical Phenomena and Photonics
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Abstract.

We consider ultrafast second order frequency conversion processes, under group velocity matching conditions. The three wave interaction equations, describing velocity matched ultrafast optical frequency conversion processes, can be reduced to Sine-Gordon equation. In this way, the well known Sine-Gordon solitons can be mapped into three wave soliton solutions. Here, we report the numerical dynamics of three wave simultons, two-solitons and breathers in ultrafast second order frequency conversion processes.

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References

  1. G. Cerullo, S. De Silvestri, Rev. Sci. Instrum. 74, 1 (2003)

    Article  ADS  Google Scholar 

  2. D. Hofmann, G. Schreiber, C. Haase, H. Herrmann, W. Grundkotter, R. Ricken, W. Sohler, Opt. Lett. 24, 896 (1999)

    Article  ADS  Google Scholar 

  3. C. Zhang, H. Wei, Y. Zhu, H. Wang, S. Zhu, N. Ming, Opt. Lett. 26, 899 (2001)

    Article  ADS  Google Scholar 

  4. D. Brida, G. Cirmi, C. Manzoni, S. Bonora, P. Villoresi, S. De Silvestri, G. Cerullo, Opt. Lett. 33, 741 (2008)

    Article  ADS  Google Scholar 

  5. M. Marangoni, D. Brida, M. Conforti, A. Capobianco, C. Manzoni, F. Baronio, G. Nalesso, C. De Angelis, R. Ramponi, G. Cerullo, Opt. Lett. 34, 241 (2009)

    Article  ADS  Google Scholar 

  6. F. Konig, F.N.C. Wong, Appl. Phys. Lett. 84, 1644 (2004)

    Article  ADS  Google Scholar 

  7. N.E. Yu et al., Appl. Phys. Lett. 82, 2288 (2003)

    Google Scholar 

  8. E. Ibragimov, A. Struthers, Opt. Lett. 21, 1582 (1996)

    Article  ADS  Google Scholar 

  9. M. Conforti, F. Baronio, A. Degasperis, S. Wabnitz, Opt. Express 15, 12246 (2007)

    Article  ADS  Google Scholar 

  10. V.E. Zakharov, S.V. Manakov, Sov. Phys. JETP Lett. 18, 243 (1973)

    ADS  Google Scholar 

  11. D.J. Kaup, A. Reiman, A. Bers, Rev. Mod. Phys. 51, 275 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Picozzi, M. Haelterman, Opt. Lett. 23, 1808 (1998)

    Article  ADS  Google Scholar 

  13. A. Degasperis, M. Conforti, F. Baronio, S. Wabnitz, Phys. Rev. Lett. 97, 093901 (2006)

    Article  ADS  Google Scholar 

  14. F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010)

    Article  ADS  Google Scholar 

  15. F. Baronio, M. Conforti, A. Degasperis, S. Wabnitz, IEEE J. Quantum Electron. 44, 542 (2008)

    Article  ADS  Google Scholar 

  16. A. Barone, F. Esposito, C.J. Magee, A.S. Scott, Riv. Nuovo Cim. 1, 227 (1971)

    Article  ADS  Google Scholar 

  17. M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Lett. 30, 1262 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  18. E. Ibragimov, A. Struthers, J. Opt. Soc. Am. B 14, 1472 (1997)

    Article  ADS  Google Scholar 

  19. K. Nozaki, J. Phys. Soc. Jpn 37, 206 (1974)

    Article  ADS  Google Scholar 

  20. N. Yu, S. Kurimura, K. Kitamura, S. Ashihara, T. Shimura, K. Kuroda, T. Taira, Appl. Phys. Lett. 82, 3388 (2003)

    Article  ADS  Google Scholar 

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Correspondence to M. Conforti.

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Conforti, M., Baronio, F. Soliton dynamics in velocity matched ultrafast frequency conversion processes. Eur. Phys. J. D 64, 115–118 (2011). https://doi.org/10.1140/epjd/e2011-20236-7

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  • DOI: https://doi.org/10.1140/epjd/e2011-20236-7

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