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.     

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。     

Dynamics of Efficiency Change by Temperature in Diode Pumped Nd：YAG Heat Capacity Laser

We investigate the influence of temperature on the efficiency of diode pumped Nd：YAG heat capacity laser is studied. It is shown that the efficiency of such a laser system is greatly reduced at higher temperature. This bad behaviour is mainly caused by the doped-ion redistribution among various Stark levels of the ground state, and by a thermal equilibrium between the upper laser level and the pump level. Meanwhile, the thermal excitations from the ground state to the lower laser level also play a role. We derive a model to describe those effects, with the considerations of emission spectrum of laser diodes, the subtle Stark structures and the linewidth of absorption and of simulated-emission.     

远红外自由电子激光光腔改进的模拟分析

 提出在中物院远红外自由电子激光光腔中全程采用波导对光场进行约束，利用计算光束与电子束横向叠合因子分析了光腔中是否加入波导管对腔内净增益的影响。模拟了减小波导管间隙和提高扭摆器峰值磁场场强对腔内增益的影响。3维数值模拟计算表明在光腔中加入波导使扭摆器净增益由-6%提高到约25%；波导管的间隙每缩小2 mm，腔内净增益提高7％~15％；场强每提高0.02 T，腔内净增益可增加5%~10%。     

Lu2O3对球形Ni(OH)2高温充放电性能的影响

为了改善镍电极的高温充电效率，采用机械混合的方式将球形Ni(OH)2与不同比例的Lu2O3混合后制成粘结式镍正极。充放电测试、循环伏安和XRD等实验结果表明，掺杂Lu2O3后镍电极的析氧过电位明显提高，高温充电效率得到了很大改善，在充电后的电极中β-NiOOH生成；而且Lu2O3的掺杂比例对镍电极的高温性能在不同的充放电倍率下有不同程度的影响，3．5％是最好的掺杂比例，掺杂对高温小电流充电效率的改善作用要大于高温大电流充电。     

Hash function based on the generalized Henon map

A new Hash function based on the generalized Henon map is proposed. We have obtained a binary sequence with excellent pseudo-random characteristics through improving the sequence generated by the generalized Henon map, and use it to construct Hash function. First we divide the message into groups, and then carry out the Xor operation between the ASCII value of each group and the binary sequence, the result can be used as the initial values of the next loop. Repeat the procedure until all the groups have been processed, and the final binary sequence is the Hash value. In the scheme, the initial values of the generalized Henon map are used as the secret key and the messages are mapped to Hash values with a designated length. Simulation results show that the proposed scheme has strong diffusion and confusion capability, good collision resistance, large key space, extreme sensitivity to message and secret key, and it is easy to be realized and extended.     

碘喷孔位置的变化对激光性能的影响

在主、副气流流量不变的情况下,仅改变氧碘化学激光器中碘喷孔的位置,数值模拟了其混合气体流场特性和小信号增益分布等的变化.计算结果表明,碘喷孔在喷管叶片上的位置沿气流方向往下游移动,混合状况变差,光腔中小信号增益降低,输出功率减小,饱和光强沿气流方向的衰减变得平缓.     

副气流中He流量变化对流场混合状态的影响

 在保持主气流流量和副气流中I₂的流量不变的条件下,改变副气流中He的流量,数值模拟氧碘化学激光器拉伐尔喷管内的流场混合特性。结果表明,随着副气流中He的流量的增加,副气流垂直穿透主气流的深度逐渐变大,主、副气流混合状态也逐渐变好,直至氧碘气流混合均匀。