Effect of External Perturbation and System Parameters on Optical Secure Communication Models

Abstract

Abstract Chaotic signals are regarded as secure carriers for communication due to its high sensitivity to parameter and initial condition perturbations. This paper studies the problem of optical secure communication modeled by the perturbed nonlinear Schrödinger equation. First, we prove that the chaotic signal can be easily produced from the optical soliton signal when external perturbations are executed to the Schrodinger equation. Chaos synchronization is then proved to be accomplished between the derived system and the original system which are different in the first-order derivative terms. Furthermore, we analyze the effects of system parameters on the chaos synchronization. Numerical results show that smaller differences can lead to more rapid synchronization. We also find that changing system parameters can affect the speed of chaos synchronization.