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 ate.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 phase 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 quaturn well

the particle motion equation may be redueed 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 Jaeobian 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.