掺杂超晶格光学双稳态系统的混沌行为

Chaotic Behaviours of Optic Biastable State System for Dopping Superlattice Quantum Well

基于超晶格量子阱的双稳态效应,在经典力学框架内,把粒子的的运动方程化为了具有阻尼项和受迫项的广义摆方程。利用Melnikov方法构造了异宿轨道的Melnikov函数,并根据Melnikov函数有简单零点的条件,找到了系统进入Smale马蹄变换意义上的混沌临界值。结果表明,系统进入Smale马蹄意义下的混沌临界条件与它的具体参数有关,只需适当调节参数,混沌便可以原则上控制或避免,为掺杂超晶格作为光学双稳态器件的可能性提供了理论分析。

The particle motion equation is reduced to the generalized pendulum equation with both a dampping and a force terms in the classical mechanics frame based on the bistable state effect of the superlattice quantum well. The Melnikov function of the hetromonic orbit is constructed by Melnikov method. The chaotic behaviours with the Smale horseshoe are analysed under the simple zero condition of Melnikov function, and the critical condition is found. It shows that the critical condition for entering a chaotic state is related to the parameters of the system, so the chaos can be avoided or controlled in principle only by suitable regulating the parameters, providing a theoretical analysis for the design of optical biastable devices.