https://doi.org/10.1140/epjd/e2016-70387-x
Regular Article
Stable scalable control of soliton propagation in broadband nonlinear optical waveguides
1 Department of Exact Sciences, Afeka College of Engineering, 69988 Tel Aviv, Israel
2 Department of Mathematics, International University, Vietnam National University-HCMC, Ho Chi Minh City, Vietnam
3 Department of Mathematics, University of Medicine and Pharmacy-HCMC, Ho Chi Minh City, Vietnam
4 Department of Mathematics, University of Science, Vietnam National University-HCMC, Ho Chi Minh City, Vietnam
a
e-mail: avpeleg@gmail.com
Received: 14 June 2016
Received in final form: 23 October 2016
Published online: 14 February 2017
We develop a method for achieving scalable transmission stabilization and switching of N colliding soliton sequences in optical waveguides with broadband delayed Raman response and narrowband nonlinear gain-loss. We show that dynamics of soliton amplitudes in N-sequence transmission is described by a generalized N-dimensional predator-prey model. Stability and bifurcation analysis for the predator-prey model are used to obtain simple conditions on the physical parameters for robust transmission stabilization as well as on-off and off-on switching of M out of N soliton sequences. Numerical simulations for single-waveguide transmission with a system of N coupled nonlinear Schrödinger equations with 2 ≤ N ≤ 4 show excellent agreement with the predator-prey model’s predictions and stable propagation over significantly larger distances compared with other broadband nonlinear single-waveguide systems. Moreover, stable on-off and off-on switching of multiple soliton sequences and stable multiple transmission switching events are demonstrated by the simulations. We discuss the reasons for the robustness and scalability of transmission stabilization and switching in waveguides with broadband delayed Raman response and narrowband nonlinear gain-loss, and explain their advantages compared with other broadband nonlinear waveguides.
Key words: Optical Phenomena and Photonics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2017
