Modulation instability of packets in inhomogeneous light guides
I.O. Zolotovskii, V.A. Lapin, D.I. Sementsov

PDF, 795 kB

Full text of article: Russian language.

DOI: 10.18287/0134-2452-2013-37-3-286-293

Pages: 286-293.

Abstract:
The conditions of the modulation instability of a wave packet in a two-mode fiber c exponential profile heterogeneity group velocity dispersion along the length of the fiber have been investigated. The analytical expressions of the integral gain increment of harmonic disturbances, and other important characteristics that determine the dynamics of the modulational instability of two interacting modes in an optical fiber with a given type of heterogeneity were obtained.

Key words:
wave packet, intermode interaction, group-velocity dispersion, cubic nonlinearity, gain increment.

References:

  1. Maier, A.A. Optical self-switching of unidirectional distributively coupled waves / A.A. Maier // Phys. Usp. – 1995. – Vol. 38. – P. 991-1029.
  2. Vasil'ev, S.A. Photo induced in-fiber refractive-index gratings for core – cladding mode coupling / S.A. Vasil'ev, E.M. Dianov, A.S. Kurkov, O.I. Medvedkov, V.N. Protopo­pov // Quantum electron. – 1997. –Vol. 27(2). – P. 146-149. – (In Russian).
  3. Akhmanov, S.A. New Physical Principles of Optical Information Processing / S.A. Akhmanov, M.A. Vorontsov. – Мoscow: “Nauka” Publisher, 1990. – 400 p. – (In Russian).
  4. Maimistov, A.I. On the propagation of the light pulse in nonlinear tunnel-coupled optical waveguides / A.I. Maimis­tov // Quantum electron. – 1991. – Vol. 18(6). – P. 687-690. – (In Russian).
  5. Kryukov, P.G. Ultrashort-pulse lasers / P.G. Kryukov // Quantum electron. – 2001. – Vol. 31(2). – P. 95-119. – (In Russian).
  6. Malomed, B.A. Control of solitons in periodic media / B.A. Malomed. – Moscow: “Fizmatlit” Publisher, 2009. – 192 p. – (In Russian).
  7. Zolotovskii, I.O. Pulse dynamics in an optical fiber with linear intermode coupling and kerr nonlinearity dispersion/ I.O. Zolotovskii, D.I. Sementsov // Technical Physics. The Russian Journal of Applied Physics. – 2002. – Vol. 47(5). – P. 591-594.
  8. Agrawal, G.P. Modulation instability induced by cross-phase modulation / G.P. Agrawal // Phys. Rev. Lett. – 1987. – Vol. 59(8). – P. 880-883.
  9. Zakharov, V.E. Modulational instability: The beginning / V.E. Zakharov, L.A. Ostrovsky // Physica D. – 2009. – Vol. 238. – P. 540-548.
  10. Daumont, I. Modulational instability: first step towards energy localization in nonlinear lattices / I. Daumont, T. Dauxois, M. Peyrard // Nonlinearity. – 1997. – Vol. 10. – P. 617-630.
  11. Dyachenko, A.I. Modulation instability of stokes wave- freak wave / A.I. Dyachenko, V.E. Zakharov // Pis’ma ZhETP. – 2005. – Vol. 81(6). – P 318-322.
  12. Torchigin, V.P. Stability own solutions in a nonlinear direction coupler / V.P. Torchigin, V.A. Kostryukov, O.B. Romanov [et al.] // Quantum electron. – 1991. – Vol. 18, N 10. – P. 1144-1147.
  13. Daumont, I. Modulational instability: first step towards energy localization in nonlinear lattices / I. Daumont, T. Dau­xois, M. Peyrard // Nonlinearity. – 1997. – Vol. 10. – P. 617-630.
  14. Almeida, V.R. All-optical control of light on a silicon chip / V.R. Almeida, C.A. Barrios, R.R. Panepucci, M. Lipson // Nature – 2004. – Vol. 431. – P. 1081-1084.
  15. Vlasov, Y.A. Active control of slow light on a chip with pho­tonic crystal waveguides / Y.A. Vlasov, M. O'Boyle, H.F. Ha­mann, S.J. McNab // Nature. – 2005. – Vol. 438. – P. 65-69.
  16. Akhmanov, S.A. Optics of femtosecond laser pulses/ S.A. Akhmanov, V.A. Vyslouh, A.S. Chirkin. – Мoscow: “Nauka” Publisher, 1988. – 312 p. – (In Russian).
  17. Agrawal, G. Nonlinear fiber optics / G. Agrawal. – Academic press, Inc. Publishers, 1989.
  18. Wabnitz, S. Theory of parabolic pulse propagation in nonlinear dispersion-decreasing optical fiber amplifiers / S. Wabnitz, C. Finot // Journal of the Optical Society of America B. – 2008. – Vol. 25(4). – P. 614–621.
  19. Zolotovskii, I.O. Transformation of an optical pulse in long-period two-mode optical fibers / I.O. Zolotovskii, D.I. Sementsov // Quantum electron. – 1999. – Vol. 29(6). – P. 550-554.
  20. Kazantseva, E.V. Effect of the Group Velocity Mismatch and Dispersion of Nonlinear Susceptibility on the Modulation Instability of Electromagnetic Waves in a Medium with Quadratic Nonlinearity / E.V. Kazantseva, A.I. Mai­mistov // Optics and spectroscopy. – 2002. – Vol. 93(5). – P. 722-731.
  21. Zolotovskii, I.O. Modulation instability of a wave packet in tunnel-coupled nonlinear fiber-optic waveguides / I.O. Zolo­tovskii, A.N. Petrov, D.I. Sementsov // Journal of Communications Technology and Electronics. – 2004. – Vol. 49(6). – P. 627-632.
  22. Yariv, A. Optical waves in crystals / P. Yeh, A. Yariv. – A Wiley-Interscience Publication, 1984.
  23. Xu, W. Modulation instability of femtosecond pulses in dispersion-decreasing fibers / W. Xu, S. Zhang, A. Chen Luo, S. Liu // Optics Communications. – 2001. – Vol. 199. – P. 355-360.
  24. Nithyanandan, K. Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems / K. Nithyanandan, R. Vasantha Jayakantha Raja, K. Porsezian // J. Opt. Soc. Am. B. – 2013. –Vol. 30. – P. 178-187.
  25. Dudley, J.M. Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation / J.M. Dudley, G. Genty, F. Dias, B. Kibler, N. Akhmediev // Opt. Express. – 2009. – Vol. 17(24). – P. 21497-21508.
© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; e-mail: ko@smr.ru; Phones: +7 (846 2) 332-56-22, Fax: +7 (846 2) 332-56-20