参数型Marcinkiewicz积分交换子在Hardy空间的有界性(英文)

研究了参数型Marcinkiewicz积分高阶交换子并证明了其从H1b(Rn)到L1(Rn)有界,其中b∈BMO.     

Effects of some parameters on the divertor plasma sheath characteristics and fuel retention in castellated tungsten tile gaps

Castellation of plasma facing components is foreseen as the best solution for ensuring the lifetime of future fusion devices. However, the gaps between the resulting surface elements can increase fuel retention and complicate fuel removal issues. To know how the fuel is retained inside the gaps, the plasma sheath around the gaps needs to be understood first. In this work, a kinetic model is used to study plasma characteristics around the divertor gaps with the focus on the H＋ penetration depth inside the poloidal gaps, and a rate-theory model is coupled to simulate the hydrogen retention inside the tungsten gaps. By varying the magnetic field strength and plasma temperature, we find that the H＋ cyclotron radius has a significant effect on the penetration depth. Besides, the increase of magnetic field inclination angle can also increase the penetration depth. It is found in this work that parameters as well as the penetration depth strongly affect fuel retention in tungsten gaps.     

二模谐振子能谱研究

通过对非耦合谐振子系统能谱、非耦合与坐标耦合共同组成的谐振子系统能谱、非耦合与动量耦合共同组成的谐振子系统能谱、非耦合与坐标动量交叉耦合共同组成的谐振子系统能谱和非耦合与压缩项耦合共同组成的谐振子系统5种谐振子能谱进行求解时,通过分析比较发现:其一,对存在非对易参数的能级差的解时,当非对易参数为零时,所求的哈密顿量能级差的解与非耦合谐振子能谱能级差的解相似,从而验证了求解结果的正确性;其二表明了坐标耦合系数、动量耦合系数和压缩性系数都对共同组成的谐振子系统能谱的能级差产生了影响;其三,对非耦合与坐标动量交叉耦合共同组成的谐振子系统能谱而言,坐标动量交叉耦合系数和非对易参数都没有对交叉耦合谐振子的能级差产生任何影响.对多种耦合系统谐振子能谱进行求解,覆盖面广,分析全面.     

Bohr-Mottelson公式对超形变带的比较研究

用Bohr-Mottelson的两参数、三参数和四参数公式对A～190区61条超形变带进行了系统分析. 结果显示:3个公式都能较好地拟合190区超形变带的E2跃迁谱,而且带首自旋的确定基本一致. 大部分带Bohr-Mottelson的三参数数值关系符合ab公式的理论预期值,小部分带的三参数数值关系符合Harris公式的理论预期值. 一半以上带的四参数数值关系与ab公式的预期值接近,而与Harris公式的预期值偏离较大. 表明两参数ab公式比Harris公式具有更广泛的实用性.     

Studies on Nematic Liquid Crystal Using Spin Wave Theory

A spin wave theory is proposed to study nematic liquid crystals. Since the orientation of the molecular long axis and the angular momentum of the molecule rotating around its long axis have the same direction, operators can be introduced to research the nematic liquid crystal. By transforming the intermolecular interaction potential,the Hamiltonian of the system has the same form as that of the ferromagnetic substance. The relation of the order parameters to the reduced temperature can be obtained. It is in good agreement with the experimental results in the low temperature region. In the high temperature region close to the transition point, by using the Hamiltonian, the transition point can be obtained, which is near to the Maier-Saupe‘s result.     

激光微加工技术在ICF中的应用

建立以二极管泵浦的Nd：YAG连续固体激光器为基础的微结构加工平台。激光器谐振腔输出基横模，输出波长1064nm，采用调Q技术压缩脉宽，激光器输出峰值功率大于10w，可选择连续及脉冲工作方式。     

双参数地基上板弯曲问题的边界积分方程

本文应用广义函数的Fourrier积分变换导出了双参数地基上板弯曲问题的基本解,并将基本解展成一致收敛的级数形式.在此基础上,应用广义Rayleigh-Green公式建立了适用于任意形状、任意边界条件情形的两个边界积分方程,为边界元法在这一问题中的应用提供了理论基础.     

三参数Weibull分布定数截尾下形状参数的区间估计

本给出了在定数截尾场合下利用三个次序统计量来构造三参数Weibull分布形状参数精确置信区间的方法，另外本还给出了三参数Weibull分布三个参数的联合置信域。章的最后，给出了Monte-Carlo模拟例子并运用本的方法求解了两个实例。     

KNSBN掺Cu晶体高反射率自泵浦位相共轭反射镜

利用KNSBN掺Cu晶体实现了自泵浦位相共轭;掺Cu量0.04wt％的晶体自泵浦位相共轭反射率高达65％;测量了自泵浦位相共轭反射率,响应时间和氩离子激光波长的关系。