部分相干平顶光束在非Kolmogorov湍流中的湍流距离

给出了部分相干平顶光束通过非Kolmogorov湍流传输的湍流距离解析表达式,并研究了非Kolmogorov湍流的湍流广义指数、内尺度、外尺度和光束参数对部分相干平顶光束湍流距离的影响。研究表明:湍流距离随相干参数、束腰、外尺度(当湍流广义指数的取值为3.6~4.0时)的增大而减小;随光束阶数、内尺度的增大而增大;随湍流广义指数先减小后增大,且在湍流广义指数取3.11时存在极小值,即光束扩展的极大值。同时利用湍流广义指数及光束参数,具体比较了湍流距离与瑞利区间的大小,并指出光束参数及湍流广义指数决定了湍流是否在瑞利区间内就能对光束扩展构成明显的影响。     

部分相干光与相干光在湍流中的传输特性实验研究

相干光经湍流传输引起光强闪烁效应,理论研究表明利用部分相干光可降低该影响,而相关的实验验证鲜有报道。利用水介质的对流湍流池模拟产生了Rytov方差为0.04~0.16的湍流,进行了弱起伏区湍流中部分相干光及相干光的传输实验,由接收光强计算出其光强闪烁指数随湍流Rytov方差的变化关系。实验结果表明:随着湍流强度的增加,部分相干光与相干光的闪烁效应均增强,但部分相干光的闪烁指数小于相干光。将实验数据与Andrews等人建立的闪烁指数理论模型进行比较,得出了较为一致的结论。     

部分还原二氧化钛的NMR和EPR研究

Partially reduced TiO₂ nanomaterials have attracted significant interest because of their visible-light activity for catalysis and photodegradation. Herein, we prepared a partially reduced anatase TiO₂ (Re-A-TiO₂) nanoparticle material using a fast combustion method, demonstrating good activity toward decomposing methyl orange under visible light irradiation. The surface structure of the prepared material, after being surface-selectively ¹⁷O-labeled with H₂¹⁷O (¹⁷O-enriched water), was studied via ¹⁷O and ¹H solid-state magic angle spinning nuclear magnetic resonance (MAS NMR) spectroscopy and electron paramagnetic resonance (EPR) spectroscopy, and the obtained results were compared to those of non-reduced anatase TiO₂ (A-TiO₂). The EPR results showed that the concentrations of paramagnetic species (i.e., oxygen vacancies (OV) and Ti³⁺) in Re-A-TiO₂ were much higher than that in A-TiO₂, while the former was associated with a higher OV/Ti³⁺ ratio. The intensities of the EPR signals were significantly affected by the adsorbed water, and this phenomenon was explored in combination with ¹H NMR spectroscopy. The ¹H species on Re-A-TiO₂ appeared at larger chemical shifts, denoting the increased acidity of the sample, and these ¹H species on Re-A-TiO₂ were more difficult to remove than those on A-TiO₂. On the other hand, different features were observed for the signals arising from the two-coordinated oxygen atoms (μ₂-O) in ¹⁷O NMR, suggesting a typical anatase TiO₂(101) surface on A-TiO₂, but a more complex surface environment for Re-A-TiO₂. Furthermore, a larger amount of hydroxyl groups (OH) were observed on Re-A-TiO₂ compared to that on A-TiO₂, indicating a larger proportion of exposed (001) facets on Re-A-TiO₂. However, the μ₂-O signals broadened and became similar when the drying temperature was increased to 100 ℃, indicating a non-faceted anatase TiO₂ surface in such conditions. Based on the EPR and NMR results, a significant fraction of the OH species is believed to be formed from the reaction of the paramagnetic centers and adsorbed water molecules. The ¹H→¹⁷O cross polarization (CP) MAS and two-dimensional heteronuclear correlation (2D HETCOR) NMR spectra were used to verify the spatial proximity of the hydrogen and oxygen species, confirming the spectral assignments of a strongly adsorbed water and one type of surface OH species. In particular, the ¹H NMR signals at approximately 11 ppm were ascribed to the hydrogen species in the intramolecular hydrogen bond. In summary, this study investigated the paramagnetic species and surface structure of anatase TiO₂ materials by combining EPR along with ¹H and ¹⁷O solid-state NMR spectroscopy. The differences in the surface structures of Re-A-TiO₂ and A-TiO₂ should be closely related to their different properties toward the photodegradation of methyl orange.     

圆柱装药在偏心定向起爆时水中近场压力特性

对UHL-5装药在侧向9点偏心定向起爆和几何中心点起爆时的水下爆炸近场峰值压力分布特性进行实验研究和数值模拟,得到2种起爆条件下不同距离与方位角测点处冲击波峰值压力和侧向9点起爆时的定向增益区域.结果表明,对于5 kg圆柱形UHL-5装药,采用侧向9点偏心定向起爆方式时,在爆距750 mm、方位角90°范围内的流场区域...     

一类非平稳高斯序列超过数点过程与和的渐近性

设{X_i}_(i=1)~∞是标准化非平稳高斯序列,N_n为X_1,X_2,…,X_n依次对水平μ_(n1),μ_(n2),…,μ_(nn)的超过数形成的点过程.记Υ_(ij)=X_iX_j,S_n=■X_i.当Υ_(ij)满足一定条件时,证明了N_n依分布收敛到Poisson过程,且N_n与S_n渐近独立.     

部分线性回归模型变窗宽一步局部M-估计

讨论了部分线性回归模型的变窗宽一步局部M-估计.用一步局部M-估计给出未知函数的估计,用平均方法给出参数估计.进一步通过两个引理证明一步M-估计的渐近正态性.所提出的方法继承了局部多项式的优点并且克服了最小二乘法缺乏稳健性的缺点.     

α混合随机变量序列部分和乘积的几乎处处中心极限定理

利用子序列等方法,获得α混合随机变量序列部分和乘积的几乎处处中心极限定理的更优结果,改进了相关文献的结果.     

部分线性单指标EV模型中参数的经验似然置信域

考虑部分线性单指标EV模型,利用纠偏方法构造了模型中未知参数的经验对数似然比统计量.在适当条件下,证明了所提出的统计量依分布收敛于标准x2分布,所得结果可以构造未知参数的置信域.通过模拟研究在置信域精度及其覆盖概率大小方面进行了说明.     

关于多项式小分数部分的一个注解

设f(x)为任意一实系数多项式,N.G.Moshchevitin在他的文章[8]中给出了集合{α∈R∶ limn→∞ infnlog n‖af(n)‖＞0}的Hausdorff维数的下界.在本文中,我们延用文[8]的方法并结合齐次Moran集的维数理论给出这个集合Hausdorff维数的精确值.     

关于C-积分的一个注记

本文研究了高维空间中C-积分的有关性质.利用被积函数的可测性质,证明了若函数在I0上C-可积,则存在I0上的一个部分,使得函数在该部分上Lebesgue可积.推广了文献[6]中的结论.