Abstract
The conditions for the onset of modulation instability of wave packets in an optical waveguide in the presence of the traveling refractive index wave are investigated. An expression governing the growth rate of a small harmonic perturbation at the early development stage of the modulation instability is obtained. Based on numerical analysis, the behavior of the wave packet at the developed modulation instability stage is studied for different parameters of the waveguide and the refractive index wave.
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References
G. Agrawal, Nonlinear Fiber Optics (Springer, Berlin, 2007).
V. E. Zakharov and L. A. Ostrovsky, Phys. D 238, 540 (2009).
N. M. Ryskin and D. I. Trubetskov, Nonlinear Waves (Nauka, Fizmatlit, Moscow, 2000) [in Russian].
S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, The Optics of Femtosecond Pulses (Nauka, Moscow, 1988) [in Russian].
K. Tai, A. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
G. P. Agrawal, P. L. Baldeck, and R. R. Alfano, Phys. Rev. A 39, 3406 (1989).
A. M. Rubenchik, S. K. Turitsyn, and M. P. Fedoruk, Opt. Express 18, 1380 (2010).
D. A. Korobko, O. G. Okhotnikov, and I. O. Zolotovskii, J. Opt. Soc. Am. 30, 2377 (2013).
I. O. Zolotovskii, D. A. Korobko, and V. A. Lapin, Quantum Electron. 44, 42 (2014).
N. N. Rozanov, Opt. Spectrosc. 96, 569 (2004).
N. N. Rozanov, Opt. Spectrosc. 100, 609 (2006).
I. O. Zolotovskii, V. A. Lapin, and D. I. Sementsov, Opt. Spectrosc. 117, 462 (2014).
A. G. Volkov and V. A. Trofimov, Opt. Spectrosc. 96, 86 (2004).
S. M. Kobtsev and S. V. Smirnov, Opt. Express 16, 7428 (2008).
V. Gapontsev, F. A. Fomin, and M. Abramov, in Proceedings of the OSA’s Topical Meeting on Advanced Solid- State Photonics (OSA, 2010), Paper AWA1.
V. P. Torchigin, Quantum Electron. 20, 235 (1993).
V. P. Torchigin, Quantum Electron. 25, 484 (1995).
A. N. Bulyuk, Quantum Electron. 25, 66 (1995).
I. O. Zolotovskii, V. A. Lapin, and D. I. Sementsov, Quantum Electron. 46, 39 (2016).
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Original Russian Text © I.O. Zolotovskii, D.A. Korobko, V.A. Lapin, D.I. Sementsov, 2016, published in Optika i Spektroskopiya, 2016, Vol. 121, No. 2, pp. 277–284.
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Zolotovskii, I.O., Korobko, D.A., Lapin, V.A. et al. Modulation instability of pulsed radiation in an optical waveguide in the presence of the traveling refractive index wave. Opt. Spectrosc. 121, 256–262 (2016). https://doi.org/10.1134/S0030400X16080245
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DOI: https://doi.org/10.1134/S0030400X16080245