中文摘要：

利用数值方法求解含时薛定谔方程，研究了一维、二维模型氢原子和真实的三维氢原子在强激光场中产生的高次谐波和电离特性．结果表明，在多光子电离区域和过垒电离区域，模型氢原子与真实的氢原子产生的高次谐波和电离概率差别很小；在隧道电离区域，它们产生的高次谐波的平台特征和截止位置相似，电离概率随时间变化的趋势相近，但其数值有明显的差异．对产生这种差异的原因进行了分析。

英文摘要：

Solving time-dependent Schroedinger equation numerically, we investigate the high-order harmonic generation and ionization probability of one-dimensional, two-dimensional and three-dimensional hydrogen atom exposed to intense laser field. Our results show that high-order harmonic generations and the ionization probabilities of the model atoms and real hydrogen atom are similar both in the multi-photon ionization regime and in the over-harrier ionization regime; in the tunneling ionization regime, the plateau feature and cut-off position of high order harmonic generations of the model atoms and real hydrogen atom are almost the same, and the trend of change of the ionization probabilities with time is similar, but the values of ionization probabilities for the model atoms are different from those for real hydrogen atom. We discuss the reason for the difference of ionization probabilities between the model atoms and the real hydrogen atom according to the classical three-step model.