Hybrid-PIC/PIC simulations on ion extraction by electric field in laser-induced plasma

The processes of electric ion extraction from plasma induced by pulse lasers are simulated by particle-in-cell(PIC)method and hybrid-PIC method.A new calculation scheme named preprocessing hybrid-PIC is presented because neither of the two methods above is omnipotent,especially under the circumstance of high initial plasma density.The new scheme provides credible results with less computational consumption than PIC method in both one-and two-dimensional simulations,except forΠ-type electrode configuration.The simulation results show that the M-type performs best in all electrode configurations in both high-density and low-density plasma conditions.     

复Clifford分析中的复k-超单演函数

首先给出了复Clifford分析中的复k-超单演函数的定义,进一步得到了复Clifford分析中的复k-超单演函数的一些等价条件,从而使复Clifford分析中的复k-超单演函数与其满足的方程之间建立了联系.     

单位球上Dirichlet空间上的分式线性复合算子

本文主要研究单位球上Dirichlet空间上的分式线性复合算子的伴随算子,讨论了该空间以及它与常值函数的商空间上此类算子的正规性和本性正规性,并得到非椭圆型分式线性映射和其伴随映射的复合为椭圆或抛物型分式线性映射的结论.     

一类加权的Borel-Cantelli引理（英文）

本文给出了一类加权的第二Borel-Cantelli引理.这是对以前该引理的两种推广的一个补充.