远红外自由电子激光器的整体数值模拟

 基于中物院远红外自由电子激光装置，采用一种注重横向问题的整体数值模拟方法进行了计算。并将结果与随机抽样的计算结果作了比较，发现两者差异较大，自由电子激光的性能强烈地依赖于电子束性质。采用这种整体数值模拟方法对于较准确地计算和预计自由电子激光器诸光学参量是必要的。     

粗糙核分数次积分算子的两权弱型不等式

作者得到了粗糙核分数次积分算子的两权弱型不等式,推广了Cruz-Uribe和Perez的结果.     

陈景润精神永存——附其个人著述文章目录

名数学家陈景润英年早逝，1996年3月19日病故，终年63岁．这对于一个有建树的科学家来说，实在是太短暂了……。     

本征平方函数在变指数Herz及Herz-Hardy空间上的有界性

该文证明了本征平方函数S_β在变指数Herz空间K~(α(·),p)_(p(·))~(α(·),q) (R~n)及Herz-Hardy空间HK~(α(·),p)_(p(·))~(α(·),q) (R~n)上的有界性,其中α(·)和P(·)均为变指数.特别地,当α(·)≡α为常数时,相应结果也是新的.     

一类Schrdinger型算子在Herz-Morrey空间上的有界性

考虑了一类Schrdinger型算子Tβ及其交换子的有界性问题.基于其在经典Lebesgue空间上的有界性,利用分环技巧对Tβ及其与b(b∈BMO_σ(ρ))生成的交换子[b,Tβ]进行估计,得到了它们在Herz-Morrey空间上的有界性.     

Studies of super-short pulse generated by a free-electron lasers at perfect synchronism

Three-dimensional （3D） simulations and theoretical analyses on super-short pulse generated using free- electron lasers （FELs） at perfect synchronism are carried out with the help of our 3D OSIFEL code. The evolution of longitudinal pulse width in the Japan Atomic Energy Research Institute （JAERI） experiment is simulated. The results show that the optical pulse is compressed on successive passes due to the slippage between the optical and electron beams, and an ultra-short 221-fs optical pulse is finally obtained, which agrees with the experiment. Furthermore, to shorten wavelength such as soft ultraviolet （SUV） spectrum range, an ultra-short pulse generated at perfect synchronism is analyzed and studied. Finally, the relationship between the optical pulse length compressed and the peak electron beam current is calculated. It shows that the higher the electron beam current, the shorter the output FEL width length, due to the higher gain.     

Determining the resistance of X-pinch plasma

The current and the voltage of an X-pinch were measured. The inductance of the X-pinch was assumed to be a constant and estimated by the calculation of the magnetic field based on the well-known Biot-Savart's Law. The voltage of the inductance was calculated with L · di/dt and subtracted from the measured voltage of the X-pinch. Then, the resistance of the X-pinch was determined and the following results were obtained. At the start of the current flow the resistance of the exploding wires is several tens of Ohms, one order of magnitude, higher than the metallic resistance of the wires at room temperature, and then it falls quickly to about 1 , which reflects the physical processes occurring in the electrically exploding wires, i.e., a current transition from the highly resistive wire core to the highly conductive plasma. It was shown that the inductive contribution to the voltage of the X-pinch is less than the resistive contribution. For the wires we used, the wires' material and diameter have no strong influence on the resistance of the X-pinch, which may be explained by the fact that the current flows through the plasma rather than through the metallic wire itself. As a result, the current is almost equally divided between two parallel X-pinches even though the diameter and material of the wires used for these two X-pinches are significantly different.     

自由电子激光放大啁啾脉冲的数值模拟

 利用1维非定态程序对单程自由电子激光(FEL)放大器放大线性啁啾脉冲的过程进行了数值模拟,得到了不同啁啾参数的脉冲通过FEL放大器的增益曲线,计算了不同啁啾参数的脉冲被单程FEL放大器放大后的腔外压缩情况。通过对数值模拟结果的定性分析得出：影响输出脉冲宽度和峰值功率的主要因素是FEL放大器的增益线宽和啁啾参数,并以此说明,通过先使用FEL放大器放大啁啾脉冲、然后再将其在腔外压缩的方法产生超短脉冲FEL是可行的。     

Littlewood-Paley算子交换子在加权Herz型Hardy空间上的有界性

研究了Littlewood-Paley算子交换子gψ,b在加权Herz型Hardy空间上的性质,并证明了gψ,b在某些条件下是HKa,pq(ω1,ω2)到Ka,pq(ω1,ω2)和HKa,pq(ω1,ω2)到WKa,pq(ω1,ω2)上的有界算子.     

聚龙一号驱动Z箍缩负载内爆的简化电路模型

为方便描述聚龙一号装置与Z箍缩负载的电磁耦合过程,基于大量电参数实验数据和全电路模拟分析,建立了一个简化的集总电路模型,获得了等效电压波形和等效电阻、电感等集总参量。采用水介质三板输出线出口位置的开路电压作为等效电压,进一步拟合为正弦平方函数,峰值为3.3 MV（当前驱动器充压为65 kV）,零到峰值的时间长度为102.5ns。采用简化的流阻抗模型描述磁绝缘传输线内部空间电子流的电流损失效应。将电路程序与零维负载动力学程序耦合模拟,得到了与实验结果符合的负载电流波形,尤其电流波形的前沿和峰值符合较好,分析了电磁能转化为负载动能的过程。