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Interaction dynamics of bright solitons in linearly coupled asymmetric systems

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Abstract

We present an extensive numerical investigation on the interaction dynamics of optical bright solitons in asymmetric nonlinear directional couplers taking into account the effects of group velocity mismatch, phase-velocity mismatch and differences in group velocity dispersions and effective mode areas between two cores. We also numerically explore the stability of bright solitons in the presence of harmonic infinitesimal perturbation, which is seeded in the form of uniform white noise. To have a comprehensive picture, we finally emphasize the influence of every individual asymmetric parameters on the soliton interaction in asymmetric nonlinear directional couplers.

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References

  • Agrawal, G.: Applications of Nonlinear Fiber Optics. Academic Press, London (2001)

    Google Scholar 

  • Agrawal, G.P.: Nonlinear Fiber Optics. Academic Press, London (2007)

    MATH  Google Scholar 

  • Atai, J., Malomed, B.A., Merhasin, I.M.: Stability and collisions of gap solitons in a model of a hollow optical fiber. Opt. Commun. 265(1), 342–348 (2006)

    Article  ADS  Google Scholar 

  • Atai, J., Malomed, B.A.: Stability and interactions of solitons in two-component active systems. Phys. Rev. E 54, 4371–4374 (1996)

    Article  ADS  Google Scholar 

  • Atai, J., Malomed, B.A.: Stability and interactions of solitons in asymmetric dual-core optical waveguides. Opt. Commun. 221(3), 55–62 (2003)

    Article  ADS  Google Scholar 

  • Biswas, A.: Soliton–soliton interaction in optical fibers. J. Nonlinear Opt. Phys. Mater. 8(04), 483–495 (1999)

    Article  ADS  Google Scholar 

  • Blow, K.J., Doran, N.J.: Bandwidth limits of nonlinear (soliton) optical communication systems. Electron. Lett. 19(11), 429–430 (1983)

    Article  Google Scholar 

  • Chu, P.L., Desem, C.: Gaussian pulse propagation in nonlinear optical fibre. Electron. Lett. 19(23), 956–957 (1983)

    Article  ADS  Google Scholar 

  • Chu, P.L., Desem, C.: Effect of third-order dispersion of optical fibre on soliton interaction. Electron. Lett. 21(6), 228–229 (1985)

    Article  Google Scholar 

  • Cohen, G.: Soliton interaction and stability in nonlinear directional fiber couplers. Phys. Rev. E 52(5), 5565–5573 (1995)

    Article  ADS  Google Scholar 

  • Cuevas-Maraver, J., Kevrekidis, P., Williams, F.: The Sine-Gordon Model and Its Applications: From Pendula and Josephson Junctions to Gravity and High-Energy Physics. Springer, New York (2014)

    Book  MATH  Google Scholar 

  • Gordon, J.P.: Interaction forces among solitons in optical fibers. Opt. Lett. 8(11), 596–598 (1983)

    Article  ADS  Google Scholar 

  • Govindaraji, A., Mahalingam, A., Uthayakumar, A.: Dark soliton switching in nonlinear fiber couplers with gain. Opt. Laser Technol. 60, 18–21 (2014)

    Article  ADS  Google Scholar 

  • Govindaraji, A., Mahalingam, A., Uthayakumar, A.: Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers. Appl. Phys. B 120(2), 341–348 (2015)

    Article  ADS  Google Scholar 

  • He, X., Xie, K., Xiang, A.: Optical solitons switching in asymmetric dual-core nonlinear fiber couplers. Optik - Int. J. Light Electron Opt. 122(14), 1222–1224 (2011)

    Article  Google Scholar 

  • Jensen, S.: The nonlinear coherent coupler. IEEE J. Quantum. Electron. 18(10), 1580–1583 (1982)

    Article  ADS  Google Scholar 

  • Kanna, T., Lakshmanan, M.: Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear schrödinger equations. Phys. Rev. Lett. 86(22), 5043–5046 (2001)

    Article  ADS  Google Scholar 

  • Kanna, T., Lakshmanan, M., Tchofo Dinda, P., Akhmediev, N.: Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear schrödinger equations. Phys. Rev. E 73(2), 026604 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  • Kaup, D.J., Malomed, B.A.: Gap solitons in asymmetric dual-core nonlinear optical fibers. J. Opt. Soc. Am. B 15(12), 2838–2846 (1998)

    Article  ADS  Google Scholar 

  • Li, Q., Zhang, A., Hua, X.: Numerical simulation of solitons switching and propagating in asymmetric directional couplers. Opt. Commun. 285(2), 118–123 (2012)

    Article  ADS  Google Scholar 

  • Mak, W.C.K., Malomed, B.A., Chu, P.L.: Solitons in coupled waveguides with quadratic nonlinearity. Phys. Rev. E 55(5), 6134–6140 (1997)

    Article  ADS  Google Scholar 

  • Mitschke, F.M., Mollenauer, L.F.: Experimental observation of interaction forces between solitons in optical fibers. Opt. Lett. 12(5), 355–357 (1987)

    Article  ADS  Google Scholar 

  • Nóbrega, K.Z., da Silva, M.G., Sombra, A.S.B.: Multistable all-optical switching behavior of the asymmetric nonlinear directional coupler. Opt. Commun. 173(16), 413–421 (2000)

    Article  ADS  Google Scholar 

  • Radhakrishnan, R., Lakshmanan, M., Hietarinta, J.: Inelastic collision and switching of coupled bright solitons in optical fibers. Phys. Rev. E 56(2), 2213–2216 (1997)

    Article  ADS  Google Scholar 

  • Shum, P., Liu, M.: Effects of intermodal dispersion on two-nonidentical-core coupler with different radii. Photon. Technol. Lett. IEEE 14(8), 1106–1108 (2002)

    Article  ADS  Google Scholar 

  • Smith, K., Mollenauer, L.F.: Experimental observation of soliton interaction over long fiber paths: discovery of a long-range interaction. Opt. Lett. 14(22), 1284–1286 (1989)

    Article  ADS  Google Scholar 

  • Tsang, S.C., Chiang, K.S., Chow, K.W.: Soliton interaction in a two-core optical fiber. Opt. Commun. 229(1), 431–439 (2004)

    Article  ADS  Google Scholar 

  • Vijayajayanthi, M., Kanna, T., Lakshmanan, M.: Bright-dark solitons and their collisions in mixed n-coupled nonlinear schrödinger equations. Phys. Rev. A 77(1), 013820 (2008)

    Article  ADS  Google Scholar 

  • Yang, C.C.: All-optical ultrafast logic gates that use asymmetric nonlinear directional couplers. Opt. Lett. 16(21), 1641–1643 (1991)

    Article  ADS  Google Scholar 

  • Yang, C.-C., Wang, A.J.S.: Asymmetric nonlinear coupling and its applications to logic functions. Quantum Electron. IEEE J. 28(2), 479–487 (1992)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

One of us (AG) is indebted to Professor M. Lakshmanan for his fruitful discussions and valuable suggestions.

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Correspondence to A. Govindaraji.

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Govindaraji, A., Mahalingam, A. & Uthayakumar, A. Interaction dynamics of bright solitons in linearly coupled asymmetric systems. Opt Quant Electron 48, 563 (2016). https://doi.org/10.1007/s11082-016-0844-z

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