Reinhardt域上一类推广的Roper-Suffridge算子

研究一类推广的Roper-Suffridge算子F(z)=(f(z_1)+f′(z_1)∑_(k=2)~nakz_k~pk,f′(z)1)(~1/p2)z_2,…,f′(z_1)~(1/pn)z_n)′,证明该算子在复欧氏空间中的Reinhardt域Ω_(n,p2,%…,pn)={z=(z_1,…,z_n)∈C~n:|z_|~2+∑_(k=2)~n|zk|~(pk)1,Pk∈N~+,k=2,…,n}上分别保持α次的殆β型螺形性,α次的β型螺形性及强β型螺形性.     

B~n上推广的Roper-Suffridge算子的性质

讨论改进后的Roper-Suffridge延拓算子保持双全纯映照子族的性质.借助双全纯映照子族的解析特征及其偏差结论,得到改进后的Roper-Suffridge延拓算子在一定条件下保持α次殆β型螺形映照、α次β型螺形映照、强β型螺形映照的性质,从而得到改进后的算子在一定条件下保持α次殆星形性、α次星形性和强星形性.所得结论为在多复变数空间中构造这些双全纯映照提供了一种新的途径.     

科学级光学CCD非线性特性测试

在惯性约束聚变(ICF)实验研究中,科学级CCD常和光谱仪、条纹相机等诊断设备组合进行冲击波等物理过程的时间、空间方面的诊断研究。非线性作为CCD一个非常重要的性能参数,在实验的后处理过程中有着相当重要的作用,实验分别采取固定曝光时间,改变光源的出射功率密度、固定光源的输出功率密度和改变CCD的曝光时间两种方案对TEK 512×512DB CCD的非线性特性进行测试,计算得到两种实验方案下该CCD的非线性度分别为0.595%和0.508%,并通过对各种因素的评估得到第一种标定方案为最佳,为科学级CCD的性能参数自动测试平台的建立提供参考。     

光学条纹相机时间扫描性能应用

对相机全屏扫速性能进行了系统分析,发现基于相机整体的平均扫速及扫速非线性处理扫描时间的传统方法不能反映相机空间畸变现象,并且扫速非线性放大了数据处理不确定度,从而降低了相机应用价值。建立了一套基于全屏扫速及扫速不确定度的扫描时间精细处理方法,它自洽消除了相机的空间畸变和扫速非线性的系统性影响。开展了理论分析和验证实验,结果表明:精细处理方法很容易使扫描时间数据处理相对不确定度降低到1%以内,显著提高了条纹相机时间扫描精度和应用可靠性。     

Mechanical properties of jammed packings of frictionless spheres under an applied shear stress

By minimizing a thermodynamic-like potential, we unbiasedly sample the potential energy landscape of soft and frictionless spheres under a constant shear stress. We obtain zero-temperature jammed states under desired shear stresses and investigate their mechanical properties as a function of the shear stress. As a comparison, we also obtain the jammed states from the quasistatic-shear sampling in which the shear stress is not well-controlled. Although the yield stresses determined by both samplings show the same power-law scaling with the compression from the jamming transition point J at zero temperature and shear stress, for finite size systems the quasistatic-shear sampling leads to a lower yield stress and a higher critical volume fraction at point J. The shear modulus of the jammed solids decreases with increasing shear stress. However, the shear modulus does not decay to zero at yielding. This discontinuous change of the shear modulus implies the discontinuous nature of the unjamming transition under nonzero shear stress, which is further verified by the observation of a discontinuous jump in the pressure from the jammed solids to the shear flows. The pressure jump decreases upon decompression and approaches zero at the critical-like point J, in analogy with the well-known phase transitions under an external field. The analysis of the force networks in the jammed solids reveals that the force distribution is more sensitive to the increase of the shear stress near point J. The force network anisotropy increases with increasing shear stress. The weak particle contacts near the average force and under large shear stresses it exhibit an asymmetric angle distribution.     

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在"星光Ⅱ"钕玻璃激光装置上,开展了脉宽约0.8ns、能量~70J的351nm激光在不同条件下辐照Au盘靶的实验,研究了激光光束质量对受激布里渊散射(SBS)谱的影响。SBS散射光谱测量结果表明,在激光束未匀滑条件下,SBS散射谱范围为352~360nm;在采用透镜列阵将激光束匀滑聚焦的条件下,激光等离子体密度变得更加均匀,SBS散射光谱范围变为351~351.5nm。实验数据为透镜列阵对光束的匀滑效果提供了直接支持。     

航空机电作动器健康管理验证系统研究

针对健康管理智能算法与推理模型性能的验证与评估需求,设计了一种航空机电作动器健康管理验证系统;通过分析航空机电作动器的故障机理,提出了电机、控制器、齿轮减速器的数学建模方法和对应的主要失效模式的故障注入方法,设计了验证系统硬件平台、基于组件模式的通用软件运行环境及支持实时显示功能的验证与评估模块;仿真结果表明,该平台能够支持各种健康管理算法与系统模型的加载和调用,并能够实现验证与评估信息的在线显示。     

有界凸圆型域上的准凸映照

本文研究星形映照的一类子族——有界凸圆型城上的准凸映照,并讨论了它与星形映照及凸映照的关系,建立其与凸映照同形的增长定理和掩盖定理．     

多圆柱上正规化双全纯星形映照的齐次展式

本文讨论单位多圆柱上正规化双全纯星形映照的表示形式.证明对这种映照f的第j个分量fj,有fj=gjzj,(J=1,2,…,n),这里(91,g2,…,gn)'为△n上的全纯映照.