根据半经典闭合轨道理论研究了矩形腔对氢负离子的光剥离进程的影响, 利用反射定律分析矩形腔中与光剥离截面相联系的剥离电子运动的闭合轨道,推导出该体系下的光剥离截面公式, 在线性极化光的作用下, 研究了腔的尺寸对光剥离截面的影响, 并将其与麻志君等用量子力学方法研究的结果进行对比.结果表明: 矩形腔的存在及其大小对光剥离截面中由闭合轨道相联系的返回波与波源函数发生干涉引起的振荡有很大影响, 且振荡曲线随着矩形腔的尺寸变化明显; 当激光极化方向沿着x轴或者y轴时, 半经典方法与量子力学方法的结果一致, 当激光极化方向沿着z轴时, 由于矩形腔在z轴上对光剥离截面不作用, 采用半经典方法光剥离截面与无场的情况相同, 但是采用量子力学方法, 其结果中却出现振荡, 表明半经典方法研究此体系结果更准确.研究结果可对研究负离子光剥离以及外腔中的电子输运问题提供参考.

On the basis of the semi-classical closed orbit theory, the effect of rectangular cavity on electron photo-detachment from a hydrogen negative ion was studied. Using the law of reflection, the electrons motion of closed orbit associated with photo-detachment cross section in the rectangular cavity was analyzed, and the formula of photo-detachment cross section in the system was deduced. Under the action of linear polarization light, the influence of the size of the cavity on cross section was studied, and the results were compared with that of the quantum mechanics method which MA Zhi-Jun used. It is shown that, the existence and the size of rectangular cavity induces significant oscillation in the photo-detachment cross section owing to the interference effects of the electron wave traveling along closed orbits and source function. The oscillatory structure in the photo-detachment cross section sensitively depends on the size of rectangular cavity. When the laser is linearly polarized in the x-axis or y-axis, quantum mechanics results are in line with the classical results. But when the laser is linearly polarized in the z-axis, rectangular cavity is not function on cross section along z-axis in actual situation, cross section is with the case of no field by semi-classical method, while the volatility is still exist in cross section by quantum mechanics method, which shows that the semi-classical method results are more accurate in this system. The results will be useful in understanding the photo-detachment of negative ions or electron transport in a micro-cavity.