非线性随机延迟微分方程Heun方法的数值稳定性

本文讨论一般非线性随机延迟微分方程Heun方法的数值稳定性,证明了如果问题本身满足零解是均方指数稳定和均方渐近稳定的充分条件,则当方程的漂移项进一步满足一定的条件时,Heun方法是Ms.稳定的,带线性插值的Heun方法是均方指数稳定的和GMS-稳定的理论结果.文末的数值试验进一步验证了所得的相关结论.     

回旋电子束横纵速度比测试技术

摘要:通过对回旋电子束形成的电位和电场分布,推导出电子束横纵速度比测量的计算式.提出将电子束作传输线内导体等效,采用陶瓷电容分压器来测量速度比的方法.介绍了该测量装置的设计和加工工艺,及陶瓷电容分压器的标定方法和结果分析,并介绍了初步的原理性实验结果.该测试方法装置简单,测试电子束横纵速度比时不会破坏电子束的特性,能够...     

Study on measuring refractive index modulation of volume phase holographic gratings

In this paper, we present an approach to measure the refractive index modulation of volume phase holographic gratings (VPHG) by use of its angular selectivity, with the advantage of avoiding the diffraction efficiency errors induced by noise. Based on Kogelnik's coupled wave theory for volume holographic gratings, the wave vectors matching relationship for reflective VPHG at different readout wavelengths is deduced and the diffraction efficiency as a function of readout angle is also obtained. Then an all-fiber experimental system is designed to measure corresponding diffraction efficiency with different readout angles for VPHG recorded in dichromate gelatin. By seeking the Bragg angle where diffraction efficiency is maximum and the blank angle where diffraction efficiency drops to the minimum value, the refractive index modulation can be calculated. The experiment results proves the feasibility of the method.     

Degradation of azo dye direct sky blue 5B by sonication combined with zero-valent iron

The degradation of azo dye direct sky blue 5B by sonication combined with zero-valent iron (US-Fe(0))was investigated and an evident synergistic effect was observed. The synergetic effect is mainly due to the increase of ()OH radical concentration from Fenton's reaction. The ()OH radical concentrations in sole sonication and US-Fe(0) process were detected by using terephthalic acid as a fluorescent probe and found that ()OH radicals were generated continuously during sonication and the production of ()OH radicals in US-Fe(0) process was much higher than that in sole sonication. The degradation of direct sky blue 5B followed a pseudo-first-order kinetics and the degradation rate constants were found to be 0.0206 and 0.169 min(-1) with sole sonication and US-Fe(0) process respectively. It was also found that the degradation ratio of direct sky blue 5B increased with the increase of zero-valent iron dosage and decrease of pH value of the dye aqueous solution. The degradation mechanism of direct sky blue 5B with US-Fe(0) process was discussed by the changes of UV-Vis spectrogram of the dye during degradation. The dramatic changes of UV spectra showed a disappearance of both azo and aromatic groups during the degradation.     

Time-Periodic Fitzhugh-Nagumo Equation and the Optimal Control Problems

In this work, the authors considered the periodic optimal control problem of Fitzhugh-Nagumo equation. They firstly prove the existence of time-periodic solution to Fitzhugh-Nagumo equation. Then they show the existence of optimal solution to the optimal control problem, and finally the first order necessary condition is obtained by constructing an appropriate penalty function.     

高温扩散法制备B-S共掺杂单晶金刚石

利用高纯度的硼粉和硫粉，在1 300℃的高温真空环境下，通过扩散装置制备出硼(B)、硫(S)共掺杂单晶金刚石。扫描电子显微镜、X射线能谱、拉曼光谱等测试结果表明，随着两种元素的掺入，金刚石的形貌和晶体质量发生变化。掺杂后的金刚石形貌复杂，蚀坑和沟壑内部形貌呈阶梯状，随着掺杂量的增加出现断层，并在蚀坑处检测出较高的硼原子和硫原子含量，掺杂B-S质量比为0.5的金刚石蚀坑处的硼原子和硫原子含量最高。随着杂质原子的渗入，拉曼半峰全宽值增大，金刚石的晶体质量下降。室温下进行霍尔检测结果表明，掺杂后的金刚石电阻率降低。B-S质量比为1和2的样品导电类型表现为p型；B-S质量比为0.5时，样品的霍尔系数为负值，导电类型为n型。     

静、动态目标模拟离轴三反光学系统设计

基于单色像差理论,确定同轴三反光学系统的初始结构参数,通过二次曲面系数为0的偶次非球面的高次项之间的平衡,校正离轴系统引起的非对称性像差,同时结合DMD(数字微镜器件)目标生成器,设计出一款采用离轴三反光学系统的平行光管,为坦克承载的被测光电设备提供室内模拟目标。本光学系统的设计指标是工作波段为0.2~1.2μm,有效焦距为3000mm,全视场为2°,F数为8。结果表明,系统各视场的波像差均优于λ/34(主波长λ=0.6328μm),传递函数MTF均优于0.71@36.5lp/mm,接近衍射极限,成像质量好。对系统进行公差分析之后,系统的传递函数值远优于0.6@36.5lp/mm,合理的公差分配使系统加工难度降低,装调检测更加方便容易。     

席夫碱对La-Mg-Ni基储氢合金电化学性能的影响

为提高La-Mg-Ni基储氢合金La_0.73Ce_0.18Mg_0.09Ni_3.20Al_0.21Mn_0.10Co_0.60的电化学性能,由5-溴水杨酸和苯胺合成了一种席夫碱作为表面改性剂,对储氢合金进行表面处理。 从紫外与红外图谱可知,合成了目标席夫碱。 添加1%席夫碱后,合金的相结构没有改变。 与未添加席夫碱的合金电极相比,电极的最大放电容量略有下降,但50次充放电循环后合金电极的容量保持率有较大幅度提高,添加5%席夫碱的电极容量保持率从63%提高到75%,高倍率放电性能也有增加。 经表面处理后,合金电极的交换电流密度I₀与极限电流密度I_L均有大幅度提高,动电位极化曲线也表明合金电极的抗腐蚀能力变强。 以上结果均表明,添加少量席夫碱有助于改善储氢合金电极的电化学性能。     

固体氧化物电解池

固体氧化物电解池（SOEC）是一种先进的电化学能量转化装置,可利用清洁一次能源产生的电能和热能,以H₂O和/或CO₂为原料,高效电解制备氢气或碳氢燃料,有望实现大规模能量高效转化和存储。该技术具有高效、简单、灵活、环境友好等特点,是目前国际能源领域的研究热点。本文就固体氧化电解池技术原理、关键材料、电堆技术、衰减控制和经济竞争力等方面进行分析和介绍,并对其应用前景进行展望。     

气动载荷下旋转运动圆板磁弹性主共振分析

基于Kirchhoff薄板理论与哈密顿原理,建立旋转运动导电圆板的磁-气动弹性非线性动力学方程．根据电磁场基本原理得到旋转运动圆板所受电磁力表达式,同时采用一种简化的气动模型以描述作用于板上的气动载荷．基于贝塞尔函数形式振型函数的选取,应用伽辽金法得到旋转圆板的磁气动弹性轴对称非线性振动微分方程．应用多尺度法推导出主共振下系统的幅频响应方程,并依据Lyapunov方法得到系统稳态运动稳定性判据．通过算例,得到周边夹之约束下圆板主共振的幅频特性曲线图,以及振幅随磁感应强度和激励力幅值的变化曲线图;阐述了不同参数对系统共振幅值的影响规律,并对解的稳定性进行了分析．