【作者】 赖恒山；

【导师】 衣汉威；

【作者基本信息】 长春理工大学 ， 光学， 2004， 硕士

【摘要】 本文对Bragg型声光双稳系统在倍周期二岔点附近对外加弱信号的放大作用进行了探讨。利用Bragg声光双稳系统的差分一微分方程，分析了系统的高频频谱行为，倍周期行为以及频率锁定现象。 我们利用计算机分析了外加作用因子以及系统固有噪声对系统稳定性的影响，同时也对系统的双稳特性、分岔行为做了数值计算；实验上，我们在系统周期二分岔起始点附近观察到了弱信号放大现象，并证明了共振现象和饱和现象以及外加弱信号对分岔参数的影响。测量了幅度响应特性和频率响应特性。最后，讨论了影响混沌、分岔状态以及放大倍数的因素，实验上我们没观察到文献[20]中理论预言的系统在稳定区域内存在调制效应。更多还原

【Abstract】 The external small signal amplification ability of the Bragg acoustooptic bistable system has been studied in this paper: The behavior of High Frequency(HF) frequency spectrum, period-doubling bifurcation and the phenomenon frequency locking have been analyzed according to the difference-differential equation of the Bragg acoustooptic bistable system.The effects of external factor and inherent noise on stability of the system have been studied. The numerical evaluation about bistable characteristic and bifurcation behavior have been worked out. In the experiment, small amplification has been observed near the onset of a period-doubling bifurcation. It has been proven by experiment that there are saturation and resonance phenomena in the amplification. Bifurcation parameters at the bifurcation points are decreased by external small signals. Frequency response characteristic and amplitude response characteristic have been measured. Finally, the influencing factors on chaos, bifurcation and magnification times have been studied. The modulation effect haven’t been obversed in the stability region in our experiment.更多还原