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Dissipative Solitons in Laser Systems with Non-Local and Non-Instantaneous Nonlinearity

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Dissipative Solitons: From Optics to Biology and Medicine

Part of the book series: Lecture Notes in Physics ((LNP,volume 751))

Abstract

Dissipative optical solitons (autosolitons) are considered, analytically and numerically, for a wide-aperture laser with saturable absorption in the case when nonlinearity relaxation and non-locality are important. Depending on the values of the relaxation times and diffusion coefficients for gain and absorption, we find stable stationary dissipative solitons which are similar to those in class A lasers, slowly moving dissipative solitons, and also a new type of “flying” soliton which is characterized by a high velocity of motion and a high peak intensity.

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References

  1. M. Faraday, Philos. Trans. R. Soc. London 122, Part II, 299 (1831).

    Google Scholar 

  2. B. S. Kerner and V. V. Osipov, AutoSolitons (Kluwer, Dordrecht, 1994).

    Google Scholar 

  3. Akhmediev, N., Ankiewicz, A., Dissipative Solitons, Lect. Notes Phys., 661. Springer, Berlin (2005).

    Google Scholar 

  4. N. N. Rosanov and G. V. Khodova, J. Opt. Soc. Am. B 7, 1057 (1990).

    Article  ADS  Google Scholar 

  5. N.N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002).

    MATH  Google Scholar 

  6. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, Prog. Opt., ed. E. Wolf 47, 291 (2002).

    Google Scholar 

  7. N.N. Rosanov, Autosoliton The Big Russian Encyclopedia, 1, 171 (Moscow, 2005) (in Russian).

    Google Scholar 

  8. Yu.S. Kivshar and G.P. Agrawal, Optical Solitons (Academic Press, Amsterdam, 2003).

    Google Scholar 

  9. S. Barland, J.R. Tredicce, M. Brambilla, L.A. Lugiato, et al., Nature (London) 419, 699 (2002).

    Article  ADS  Google Scholar 

  10. M. Bache, F. Prati, G. Tissoni, R. Kheradmand, et al., Appl. Phys. B 81, 913 (2005).

    Article  ADS  Google Scholar 

  11. Ultanir, E., Stegeman, G.I., Michaelis, D., Lange, C.H., Lederer, F.: In: Akhmediev, N., Ankiewicz, A. (eds.): Dissipative Solitons. Lect. Notes Phys. 661, 37. Springer, Berlin (2005)

    Google Scholar 

  12. Rosanov, N.N.: In: Akhmediev, N., Ankiewicz, A. (eds.):Dissipative Solitons. Lect. Notes Phys. 661, 101. Springer, Berlin (2005)

    Google Scholar 

  13. N.N. Rosanov, S.V. Fedorov, and A.N. Shatsev, Phys. Rev. Lett. 95, 053903 (2005).

    Article  ADS  Google Scholar 

  14. N.N. Rosanov, S.V. Fedorov, and A.N. Shatsev, Appl. Phys. B 81, 937 (2005).

    Article  ADS  Google Scholar 

  15. N.N. Rosanov, S.V. Fedorov, and A.N. Shatsev, JETP 102, 547 (2006).

    Article  ADS  Google Scholar 

  16. S.V. Fedorov and N.N. Rosanov, Opt. Spectr. 84, 767 (1998).

    ADS  Google Scholar 

  17. S.V. Fedorov, N.N. Rosanov, and A.G. Vladimirov, Opt. Spectr. 84, 905 (1998).

    ADS  Google Scholar 

  18. N.N. Rosanov, S.V. Fedorov, and G.V. Khodova, Opt. Spectr. 88, 790 (2000).

    Article  ADS  Google Scholar 

  19. S.V. Fedorov, A.G. Vladimirov, G.V. Khodova, and N.N. Rosanov, Phys. Rev. E 61, 5814 (2000).

    Article  ADS  Google Scholar 

  20. S.V. Fedorov, N.N. Rosanov, A.N. Shatsev, N.A. Veretenov, and A.G. Vladimirov, IEEE J. Quantum Electron. 39, 197 (2003).

    Article  ADS  Google Scholar 

  21. N.N. Rosanov, S.V. Fedorov, and A.N. Shatsev, JETP 98, 427 (2004).

    Article  ADS  Google Scholar 

  22. N.N. Rosanov, S.V. Fedorov, G.V. Khodova, A.A. Zinchik, Opt. Spectr. 83, 370 (1997).

    ADS  Google Scholar 

  23. Taranenko, V.B., Slekys, G., Weiss, C.O.: In: Akhmediev, N., Ankiewicz, A. (eds.): Dissipative Solitons. Lect. Notes Phys. 661, 131. Springer, Berlin (2005)

    Google Scholar 

  24. Purwins, H.-G., Bödeker, H.U., Liehr, A.W.: In: Akhmediev, N., Ankiewicz, A. (eds.): Dissipative Solitons. Lect. Notes Phys. 661, 267. Springer, Berlin (2005)

    Google Scholar 

  25. Akhmediev, N., Ankiewicz, A.: In: Akhmediev, N., Ankiewicz, A. (eds.): Dissipative Solitons. Lect. Notes. Phys. 661, 1. Springer, Berlin (2005)

    Google Scholar 

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Correspondence to Nikolay N. Rosanov .

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Rosanov, N.N., Fedorov, S.V., Shatsev, A.N. (2008). Dissipative Solitons in Laser Systems with Non-Local and Non-Instantaneous Nonlinearity. In: Dissipative Solitons: From Optics to Biology and Medicine. Lecture Notes in Physics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78217-9_4

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  • DOI: https://doi.org/10.1007/978-3-540-78217-9_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78216-2

  • Online ISBN: 978-3-540-78217-9

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