超晶格量子阱作为光学双稳态器件的相平面特征及其稳定性

The Phase Planar Characteristics and Stabilities of Optical Bistable Cell by Superlattice Quatum Well

辐射强度与量子阱沟道的接受度有关,而接受度的大小则直接取决于量子阱宽度、深度以及电子束流的品质等因素。电子束可以用离子注入机或加速器提供,也可以用电压偏置的方法来获得。利用加速器理论中的相平面分析方法,分析了这种双稳态系统的相平面特征及其稳定性。引入正弦平方势,在经典力学框架内和电压偏置情况下,把粒子运动方程化为具有固定力矩的摆方程,用Jacobian椭圆函数和第一类椭圆积分解析地给出了无扰动系统的解和振动周期,并用数值方法分析了扰动情况下的相平面特征和系统的稳定性。为超晶格量子阱光学双稳态器件的设计提供了基本的理论分析。

It is taked notice that the radiation intensity related to acceptance of quantum well , and the accep- tance relates to width, deep of quantum well and beam quantity atc. The electron beam may be provided by the ion implantaion or accelerator,also may be obtained by applied biased battery on a superlattice quantum well. In the paper the characteristics of the plmse plane and stabilities of the system are analysed by using phase planar analytic, method in the accelerator theory. If applied biased battery on both side of the superlattice qua- tum well,the particle motion equation may be reduced to the pendulum equation with a constant moment by using the sine-squared potential in the classical mechanics frame. The approximation solution and the motion period are found by Jacobian ellipse function and the ellipse integral of the first kind. The phase planar characteristics and the stabilities of the system are analysed by a numerical method. The theoretical analyse is provided for the design of a optical bistable cell by a superlattice quantum well.