Comparison between one-dimensional time-dependent Schrodinger equation and Lewenstein model
首发时间:2012-03-06
Abstract:The high-order harmonic and attosecond pulse generation are investigated by solving the Maxwell's equation using single-atom induced dipole acceleration calculated from the Lewenstein model (SFA) and the one-dimensional time-dependent Schrodinger equation (TDSE), respectively. In single-atom case, it is found that the results obtained from the one-dimensional TDSE are agreement with those obtained from the SFA. However, in macroscopic case, the results obtained from the one-dimensional TDSE are obviously different with those obtained from the SFA. Moreover, the difference becomes large as the fundamental laser field becomes intense. The difference can be attributed to the large distortion of the fundamental laser field due to electron density overestimated by one-dimensional TDSE. When the microscopic single-atom induced dipole acceleration is calculated by using one-dimensional TDSE and the ionization probability is calculated by using ADK ionization probability, the results obtained from the one-dimensional TDSE are well agreement with those obtained from the SFA.
keywords: attosecond pulse harmonic intense laser
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一维含时薛定谔方程和Lewenstein模型的比较
摘要:本工作分别利用Lewenstein模型或一维数值求解含时薛定谔方程结合麦克斯韦方程研究了高次谐波和阿秒脉冲的产生。结果表明:对于单体响应,数值求解一维含时薛定谔方程与Lewenstein模型两种方法得到的高次谐波谱与阿秒脉冲是一致的。然而,在宏观情况下,两种方法得到的结果存在明显的差异。而且,这种差异随着驱动激光脉冲强度增加而增大。研究发现这一差异来自于一维数值求解含时薛定谔方程对介质中自由电子密度过高估计导致的驱动激光电场的严重扭曲。当一维含时薛定谔方程仅计算单体响应的偶极加速度,而气体的电离率用ADK模型计算时,两种方法得到的结果就会符合的非常好。
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