Feedback phase-shift controlling for dual-ring erbium-doped fiber laser

The physical model of single-ring feedback phase-shift controlling and the model of dual-ring feedback phase-shift controlling are proposed in this text according to the method of chaos feedback phase-shift for dual-ring erbium-doped fiber laser. On this basis, the output of system was simulated by computer. After synthetically analyzing the simulating result, we reached a conclusion that it's effective to control the output into chaos state, stable state or periodic state. By comparison, we knew the feedback coefficient and feedback phase-shift have a different impact on different models.

I. Introduction

Chaos is a natural phenomenon which occurs almost everywhere. The basic characteristics of chaos are the high sensitivity to initial condition, the random change and unpredictability for long-time behavior. Although the chaos has no regular ostensibly, there is orderly essential characteristic hidden behind it. We still hope that we can control chaos by some means so that certain unstable periodic orbit of the system can be controlled stably or be kept on equilibrium state expected. After OGY^[1] was presented last century, the chaos synchronization and chaos control theory obtained unification and chaos theory is in rapid development. The controlling method and implementation of the system for some unstable periodic orbit attracted the attention of many experts and scholars.