多周期色散管理系统中交叉相位调制产生的相移研究

以泵浦探测波结构为例，针对多周期色散管理系统，研究了色散作用下交叉相位调制产生的相位移动，推导了多段放大线路中色散作用下交叉相位调制产生的相移表达式，对该表达式进行简化得到了特定线路中色散作用下交叉相位调制所致的相移表达式。研究表明，线路总相移正比于传输线路中的光纤段数，随着调制频率的提高，相移量总体趋势逐渐减小，局部出现极大极小波动，且波动周期随走离参量增大逐渐减小，在高频段色散对交叉相位调制产生的相移产生显著影响，随着调制频率的提高，色散对相移的贡献正负交替变化，解析和仿真结论能较好吻合。

Phase shift induced by cross-phase modulation in multi-periods dispersion management system

Considering the multi-periods dispersion managed system, the phase shift induced by cross-phase modulation (XPM) under the effect of group velocity dispersion (GVD) in pump-probe structure is investigated. The expression of phase shift induced by XPM under the effect of GVD in multi-segments amplified system is derived. After simplifying the expression, the formulas of phase shift induced by XPM under the effect of GVD in some special systems are given. The total phase shift is linearly proportional to the number of fiber segments. With the increase of modulation frequency, the phase shift decreases as a whole and the relative maximum and relative minimum appearing alternately. The period that relative maximum and relative minimum appears decreases with the increase of walk-off parameter. For high modulation frequency, the GVD of pump wave affects the phase shift induced by XPM remarkably. With the increase of modulation frequency, the contribution of GVD to phase shift is positive or negative alternately. The analytical result agrees well with numerical simulation.