Optical secure communication modeled by the perturbed nonlinear Schrödinger equation

摘要

This paper proposes an optical secure communication scheme based on chaos synchronization. Nonlinear Schrödinger equation is an important model for optical communication. Our theoretical analysis and numerical simulation show that when the nonlinear Schrödinger equation is perturbed by multiple frequencies, the optical solitons becomes chaotic despite that optical soliton is usual preferred for long-distance transmission. By taking the generated chaotic signals as communication carrier, a master slave system for optical secure communication is designed. A feedback controller is applied to the slave system. Sufficient conditions for chaos synchronization are then proved. It is discovered that the synchronization speed is closely linked with parameters of the nonlinear Schrödinger equation.