研究了强非局域非线性介质中功率控制的高斯光束变换效应。通过自由传输与强非局域非线性传输的关系，得到了强非局域非线性介质出射端的场分布，并进一步得到了出射后高斯光束的解析表达式。随着功率的增加，出射后的光束束腰在出射面左右交替变化，束腰宽度也振荡变化。选取适当的功率区间，可通过功率调节对高斯光束进行连续可调的变换。

针对铅玻璃和向列相液晶等材料分析了有边界限制的强非局域非线性介质的Z扫描特性。在理论上参照热透镜模型,利用空间q参数得到了归一化的Z扫描透射比曲线,发现介质的边界条件对透射比曲线影响可以忽略,曲线的峰谷位置及其差值与入射功率有关。在实验上以铅玻璃为例,通过改变入射功率,验证了曲线的峰谷情况与入射功率的关系,并得到了材料的非局域非线性参数。

激光等离子体尾波加速是一种重要的电子加速机制，其加速梯度可达到100 GeV/m。但如果不加以控制，则加速距离被限制在一个瑞利距离以内。而预等离子体通道的引入，使得加速距离可大大加长，目前已经可以在厘米尺度内获得吉电子伏特的高能电子。这将有助于得到更小的高能物理实验装置以及超亮的自由电子激光器。

The nonparaxial property of the chirped pulsed beam is analyzed both quantitatively and qualitatively. Through the qualitative investigation of the paraxial approximation condition, we show there are chirpinduced changes in the nonparaxial propagation of the chirped pulsed beam. A quantitative nonparaxial correction was developed by use of the perturbational technic and the Fourier transform for a few-cycle chirped pulsed beam with relative small chirp parameter. It was shown that the nonparaxial corrections were enhanced near the leading or trailing edge of pulse depending on weather the chirp parameter is positive or negative. An example for pulsed Gaussian beam driven by a chirped Gaussian pulse is shown in the numerical result to confirm our analysis.