非线性抛物线势与量子阱双稳态系统的稳定性  

Nonlinear Parabolic Potential and Stabilities of Bistable System for Superlattice Quantum Well

作　　者：张莉[1] 王善进[2] 罗晓华[3] 邵明珠[2] 罗诗裕[2] 

机构地区：[1]惠州学院电子科学系,广东惠州523106 [2]东莞理工学院电子工程系,广东东莞523106 [3]重庆大学电气工程学院,重庆400044

出　　处：《半导体光电》2009年第6期874-877,共4页Semiconductor Optoelectronics

摘　　要：基于超晶格量子阱的双稳态效应,在经典力学框架内,把粒子的运动方程化为了具有阻尼项和受迫项的经典Duffing方程。利用Melnikov方法分析了系统的全局分叉与Smale马蹄变换意义上的混沌行为,给出了系统进入混沌的临界条件值。结果表明,只要参数满足临界条件,系统就是"数学"稳定的。考虑到系统进入混沌的临界条件与它的参数有关,只需适当调节这些参数,混沌就可以得以避免或控制,这为光学双稳态器件的制备和稳定工作提供理论依据。Based on the bistable effect of the superlattice quantum well, the particle motion equation is reduced to the classical Duffing equation in the classical mechanics frame. The chaotic behaviors with the Smale horseshoe are analyzed by Melnikov method. The critical condition approaching to chaos is found. It is shown that the system is stable if the critical condition is satisfied, because the critical condition entered in a chaos is related to the parameters of the system, provided regulating a parameters of the system, the chaos can be avoided or controlled. The theoretical analysis is provided to the design of optical bistable stable cells.

关 键 词：量子阱 非线性 抛物线势 超晶格 Duffing程 

分 类 号：O471.5[理学—半导体物理]