极值映射法在单模激光器数值分析中的适用性

Applicability of ExtramumMapped Method to Numerica Analysis of Single Mode Lasers

目的为了全面、正确地反映Ｂ类单模调Ｑ激光器系统出现的双稳态、多稳态、倍周期分叉和混沌结构，解决由于初值随控制参数而变化导致数值分析的片面性的问题．方法提出变初值极值映射法．结果结合实验数据完成了对单模调ＱＣＯ２激光器的数值计算，得到了与实验完全相符的结果．结论研究表明，变初值极值映射法是一种十分简便、可靠的方法，它能快速、准确地将系统的整体动力学行为，甚至在同一参数下出现的双稳态或多稳态，分叉与混沌完全反映出来．

Aim\ To make the bistability, multistability, perioddoubled bifurcation and chaos in the single mode lasers with Qswitched of the class B revealed overal and correctly and to solve the unilateral problem of the numerical analysis of the system, which is caused by the choice of the initial condition with the control parameter changed Methods\ A mapping method of the extramum with variable initial condition was put forward Results\ It has been finished to calculate the system equation numerically according to some experimental data, and the result in accord with the experimant situation is attained Conclusion\ The research shows that the mapping method of the extramum with variable initial condition is a kind of very simple and convenient and reliable method, which can quickly and exactly indicated the whole dynamical behavior of system, even the bistability or multistability and perioddoubled bifurcation ot chaos at the same control parameter of the system