Soliton Dynamics in Broadband Nonlinear Waveguides and Soliton-like Behavior in Two-pulse Collisions in Linear Waveguides

Tuesday, May 2, 2017 - 11:00am - 12:00pm
Lind 305
Quan Nguyen (Vietnam National University)
In this talk, we present a method for transmission stabilization and robust dynamic switching for colliding soliton sequences in perturbed broadband waveguide systems. We show that dynamics of soliton amplitudes in N-sequence transmission can be described by N-dimensional Lotka-Volterra (LV) models, where the form of the LV model depends on the nature of the perturbation term. We study the stability and bifurcation analysis of the equilibrium points to stabilize soliton-sequence propagation and to achieve the transmission switching of the soliton sequences. The results of numerical simulations with a system of N coupled nonlinear Schrödinger equations show excellent agreement with the LV model’s predictions.

We also demonstrate the soliton-like behavior in fast two-pulse collisions in perturbed linear waveguide systems. We show that in linear systems, the expressions for the collision-induced amplitude shifts due to the nonlinear loss have the same form as the expression for the amplitude shift in a fast collision between two optical solitons in the presence of weak cubic loss. Joint work with Avner Peleg and Toan T. Huynh.