So far we discuss the ionization and hhg of hydrogen atom by using numerical method in which the laser field is treated as a classical extent field . chapter five is another part of our work 这里，我们将激光场看成一含时的经典外场，采用数值计算法来解含时schlodinger方程，对强激光场中氢原子的电离与高次谐波产生以及相关的一些现象进行了研究。
While the flutter self - excited loads of a bluff section has a quality of obvious nonlinearity . and the application of flutter derivatives to self - excited loads of the bluff section is close to a linear relationship . 5 而钝体断面的颤振自激力高次谐波分量较大，具有较明显的非线性响应特征，验证了用颤振导数表示钝体的自激力只是一种线性近似。
At the same time the ionized electron under the strong laser field may return to the vicinity of the nucleus and recombine to the groud state . subsequently a photon of high energy may be emitted . this is high - order harmonic generation ( hhg ) 同时电离后的电子在强激光场的作用下，可能会回到核附近，与核发生相互作用从而放出高能光子，产生高次谐波( hhg )等现象。
According to the wear and life of the white lamp , electromotor and condenser and the error analysis of the measuring device in the electrical system , the article discusses the damage and suppressing way of the high order harmonics in the electrical system 结合电力网中白炽灯，电动机，电容器损耗和寿命及测量仪表的误差分析，讨论电力系统中高次谐波的危害及其抑制方法。
Fourier transform method use high order frequency to analyse and imitate nonlinear and non - stationary data . emd method based on local characteristic time scale of the data is more fit to analyse nonlinear and non - stationary data than fourier transform method Emd基于信号的局部时间特征尺度分析原信号，克服了傅里叶变换用高次谐波频率分量拟合非线性、非平稳信号的缺点。
The system increase the precision of frequency measurement using frequency measurement method based on least error square algorithm and using digital pre - treatment algorithm , which can eliminate the bad effect resulted from sqaure and high power harmonic 本系统采用了基于最小二乘的频率测量方法，同时用数字预处理算法消除频率测量时的二次及高次谐波对测量的影响，提高了频率测量的精度。
To reduce the harmonics in the line current , the random pwm mode is adapt . related to the typically constant pwm carrier frequency and its high harmonics , modulation of this frequency can be used to decrease emi and cost no more gain 为了抑制输入电流中一些幅值较大的谐波成分，利用dsp控制的特点，电路采用了随机pwm方式，在不增加系统成本的前提下，有效地抑制了输入电流的高次谐波含量。
According to the impact of higher voltage harmonic , an algorithm of harmonic analysis based on anti - alias fourier transform is discussed . compared with the traditional way , fft harmonic analysis , the algorithm increases the monitoring precision and the veracity 针对系统电压高次谐波对监测结果的影响问题，提出了基于抗混叠傅立叶变换( faft )的谐波分析法，获得有利于故障诊断的监测参数。
The widely applications of nonlinear instruments have produced many high order harmonics , they are flowing into the power network and greatly influence the quality of electric power . and the frequency is n ' t constant but changed around 50hz 电网中非线性设备的使用日益增多，所产生的高次谐波电流大量注入电力线路中，使得电网电压、电流波形发生畸变，同时电网频率并不是固定不变的，而是在50hz附近波动。
The time - dependent schr ? dinger equation of realistic hydrogen atom in intense laser field and static electric field is solved by split - operator method , and the abnormal behaviors of high - order harmonic generation ( hhg ) in intense laser field is investigated , which is caused by a static electric field 摘要利用分裂算符方法数值求解了真实氢原子在强激光场和静电场作用下的含时薛定谔方程，研究了静电场对强激光场中氢原子产生高次谐波的影响。
