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Modulation instability of wave packets in a Gires–Tournois interferometer

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Abstract

We study the specific features of the perturbation dynamics of a wave packet in a Gires–Tournois interferometer. We obtain a dispersion relationship that relates the perturbation parameters to the parameters of the structure and pump wave, the analytical expressions for the gain increment of a harmonic perturbation and other important characteristics that determine the dynamics of the modulation instability of the reflected wave. Based on numerical simulation, we plot the dependences of the dispersion and nonlinearity parameters and the gain increment on the spacing between the interferometer mirrors, the angle of incidence of the radiation onto the mirrors, and the radiation intensity.

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References

  1. G. Agrawal, Nonlinear Fiber Optics, 4th ed. (Springer, Berlin, 2007).

    MATH  Google Scholar 

  2. V. E. Zakharov and L. A. Ostrovsky, Physica D 238, 540 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  3. N. M. Ryskin and D. I. Trubetskov, Nonlinear Waves (Nauka, Fizmatlit, Moscow, 2000) [in Russian].

    Google Scholar 

  4. S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, The Optics of Femtosecond Pulses (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  5. K. Tai, A. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).

    Article  ADS  Google Scholar 

  6. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, Opt. Lett. 14, 1008 (1989).

    Article  ADS  Google Scholar 

  7. A. M. Rubenchik, S. K. Turitsyn, and M. P. Fedoruk, Opt. Express 18, 1380 (2010).

    Article  ADS  Google Scholar 

  8. D. A. Korobko, O. G. Okhotnikov, and I. O. Zolotovskii, J. Opt. Soc. Am. 30, 2377 (2013).

    Article  ADS  Google Scholar 

  9. N. N. Rosanov, Opt. Spectrosc. 100, 609 (2006).

    Article  ADS  Google Scholar 

  10. I. O. Zolotovskii, V. A. Lapin, and D. I. Sementsov, Opt. Spectrosc. 117, 462 (2014).

    Article  ADS  Google Scholar 

  11. I. O. Zolotovskii, D. A. Korobko, and V. A. Lapin, Quantum Electron. 44, 42 (2014).

    Article  ADS  Google Scholar 

  12. I. O. Zolotovskii, D. A. Korobko, and V. A. Lapin, Quantum Electron. 44, 345 (2014).

    Article  ADS  Google Scholar 

  13. F. Gires and P. Tournois, C.R. Acad. Sci. 258, 6112 (1964).

    Google Scholar 

  14. P. M. French, G. F. Chen, and W. Sibbett, Opt. Commun. 57, 263 (1986).

    Article  ADS  Google Scholar 

  15. K. D. Li, W. H. Knox, and N. M. Pearson, Opt. Lett. 14, 450 (1989).

    Article  ADS  Google Scholar 

  16. T. Konishi, J. Tanida, and Y. Ichioka, Appl. Opt. 34, 3097 (1995).

    Article  ADS  Google Scholar 

  17. H. J. Caulfied, Microwave Opt. Tech. Lett. 19, 332 (1998).

    Article  Google Scholar 

  18. H. Itoh, S. Mukai, and H. Yajima, Appl. Opt. 33, 1485 (1994).

    Article  ADS  Google Scholar 

  19. S. Zhang and M. A. Karim, Opt. Eng. 40, 2400 (2001).

    Article  ADS  Google Scholar 

  20. O. Okhomikov, A. Grudinin, and M. Pessa, New J. Phys. 6 (177) (2004).

    Google Scholar 

  21. A. Isomaki, A. Vainionpaa, J. Lyytikainen, and O. G. Okhotnikov, Appl. Phys. Lett. 82, 2773 (2003).

    Article  ADS  Google Scholar 

  22. S. Suomalainen, M. Guina, T. Hakulinen, R. Koskinen, J. Paajaste, M. Karialainen, S. Marcinkevicius, and O. G. Okhotnikov, Mater. Sci. Eng. B 147, 156 (2008).

    Article  Google Scholar 

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Authors and Affiliations

  1. Ulyanovsk State University, Ulyanovsk, 432017, Russia

    I. O. Zolotovskii, V. A. Lapin & D. I. Sementsov

Authors
  1. I. O. Zolotovskii
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  2. V. A. Lapin
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  3. D. I. Sementsov
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Correspondence to I. O. Zolotovskii.

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Original Russian Text © I.O. Zolotovskii, V.A. Lapin, D.I. Sementsov, 2016, published in Optika i Spektroskopiya, 2016, Vol. 121, No. 1, pp. 104–111.

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Zolotovskii, I.O., Lapin, V.A. & Sementsov, D.I. Modulation instability of wave packets in a Gires–Tournois interferometer. Opt. Spectrosc. 121, 95–102 (2016). https://doi.org/10.1134/S0030400X16070262

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  • DOI: https://doi.org/10.1134/S0030400X16070262

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