Affiliation:
1. Department of Mathematics, International University , Vietnam National University-HCMC , Ho Chi Minh City , Vietnam
Abstract
Abstract
We study the effects of the generic weak nonlinear loss on fast two-pulse interactions in linear waveguides. The colliding pulses are described by a system of coupled Schrödinger equations with a purely nonlinear coupling in the presence of the weak (2m + 1)-order of nonlinear loss, for any m ≥ 1. We derive the analytic expression for the collision-induced amplitude shift in a fast two-pulse interaction. The analytic calculations are based on a generalization of the perturbation technique for calculating the effects of weak perturbations on fast collisions between solitons of the nonlinear Schrödinger equation. The theoretical predictions are confirmed by the numerical simulations with the full propagation model of coupled Schrödinger equations.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference25 articles.
1. G. B. Whitham, Linear and Nonlinear Waves, New York, Wiley, 1974.
2. R. W. Boyd, Nonlinear Optics, San Diego, CA, Academic, 2008.
3. J. B. Keller, “Progress and prospects in the theory of linear wave propagation,” SIAM Rev., vol. 21, pp. 229–245, 1979. https://doi.org/10.1137/1021031.
4. K. S. Eckhoff, “On dispersion for linear waves in nonuniform media,” SIAM J. Appl. Math., vol. 44, pp. 1092–1105, 1984. https://doi.org/10.1137/0144078.
5. Y.-C. Chen, S. Kim, and G. Bahl, “Brillouin cooling in a linear waveguide,” New J. Phys., vol. 18, p. 115004, 2016. https://doi.org/10.1088/1367-2630/18/11/115004.
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