群色散光纤中高强度光脉冲传输与压缩的研究

考虑非线性四阶折射率,推导了光脉冲在群色散单模光纤中传输的非线性方程,并得到孤子型解析解.同时指出在Sech型光纤脉冲压缩实验中,光强度的阈值.     

对数态Tavis-Cummings模型中辐射场的非经典性

本文研究了任意初态的双光子Tavis-Cummings模型的演化规律,作为例子,讨论了初始时刻两个原子均处于基态而光场为对数态时场的压缩效应,光子的聚束和反聚束效应.     

ZnO/p-Si异质结的深能级及其对发光的影响

利用深能级瞬态谱(DLTS)和光致发光谱(PL),研究了ZnO/pSi异质结的两种不同温度(850℃,1000℃)退火下的深能级中心。发现850℃退火的样品存在3个明显的深中心,分别为E₁=E_v+0.21eV,E₂=E_v+0.44eV,E₃=E_v+071eV;而1000℃退火样品仅存在一个E₁=E_v+021eV的中心,且其隙态密度要比850℃退火的大。同时,测量了两个样品的PL谱。发现1000℃退火可消除一些影响发光强度的深能级,对改善晶格结构,提高样品的发光强度有利。     

混沌系统中可预报性的研究

针对简化的气候模式、Rossler吸引子和超混沌系统,进一步阐明了不确定原理,在数值求解时由于计算机固有精度而引起的舍入误差,造成对解的不确定性,存在最优步长和最大有效计算时间.运用自忆性原理,导出了各混沌系统的自忆性方程,取最优步长时,其预报性能有明显的改善 关键词： 自忆性 不确定原理 最优步长     

Asymptotic theorems for estimating the distribution function under random truncation

Representation theorem and local asymptotic minimax theorem are derived for nonparametric estimators of the distribution function on the basis of randomly truncated data. The convolution-type representation theorem asserts that the limiting process of any regular estimator of the distribution function is at least as dispersed as the limiting process of the product-limit estimator. The theorems are similar to those results for the complete data case due to Beran (1977, Ann. Statist., 5, 400–404) and for the censored data case due to Wellner (1982, Ann. Statist., 10, 595–602). Both likelihood and functional approaches are considered and the proofs rely on the method of Begun et al. (1983, Ann. Statist., 11, 432–452) with slight modifications.Division of Biostatistics, School of Public Health, Columbia Univ.     

Alq3/ITO结构的表面和界面电子状态的XPS研究

用传统的真空蒸镀法制备了Alq3/ITO样品,并用X光电子能谱（XPS）研究了Alq3/ITO紧密接触的表面和界面电子化学状态。对Alq3/ITO样品的表面分析表明,在Alq3分子中,Al原子的束缚能（Eb)为70．7eV和75．1eV,分别对应于Al(0)和Al(Ⅲ）态;C原子的束缚能为285．8eV、286．3eV和286．8eV,分别对应于C－C、C－O和C－N键;N原子的主峰位于401．0eV,对应于C－N＝C键;而O原子主要与H原子成键,其束缚能为532．8eV。为了研究Alq3/ITO的界面电子状态,我们用氩离子束对样品表面进行了溅射剥蚀,当溅射时间分别为30,35,45分种时进行XPS采谱分析。结果表明,随着氩离子束溅射时间增长,Al2p、Cls、Nls、Ols、In3d5/2和Sn3d5/2峰都向低束缚能方向有微小移动,且Al2p、Cls和Nls峰变弱,这是受ITO中扩散进入Alq3层的O、In和Sn原子的影响所致。     

高能反应末态强子产率的普适质量关系

最近实验上发现高能粒子反应末态强子多重数与其质量之间满足简单普适经验公式.计算了e⁺e^－湮没与pp(p)反应过程的直生介子与重子多重数,与经验公式中的参数完全一致.对经验公式中与反应能量有关的参数给出合理解释,并讨论了质量普适关系的原因.     

On a new class of multiplicative pseudo-random number generators

In the computing literature, there are few detailed analytical studies of the global statistical characteristics of a class of multiplicative pseudo-random number generators.We comment briefly on normal numbers and study analytically the approximately uniform discrete distribution or (j,)-normality in the sense of Besicovitch for complete periods of fractional parts {x _{0 1} ⁱ /p} on [0, 1] fori=0, 1,..., (p–1)p^–1–1, i.e. in current terminology, generators given byx _{n+1 1} x _n mod p wheren=0, 1,..., (p–1)p ^–1–1,p is any odd prime, (x ₀,p)=1, ₁ is a primitive root modp ², and 1 is any positive integer.We derive the expectationsE(X, ),E(X ², ),E(X _nX_n+k); the varianceV(X, ), and the serial correlation coefficient k. By means of Dedekind sums and some results of H. Rademacher, we investigate the asymptotic properties of k for various lagsk and integers 1 and give numerical illustrations. For the frequently used case =1, we find comparable results to estimates of Coveyou and Jansson as well as a mathematical demonstration of a so-called rule of thumb related to the choice of ₁ for small k.Due to the number of parameters in this class of generators, it may be possible to obtain increased control over the statistical behavior of these pseudo-random sequences both analytically as well as computationally.     

大型菲涅耳透镜的设计和制造

介绍一种大口径六环组合光学玻璃大型菲涅耳透镜的光学设计原理、整体工艺方案、各个球面环带的工艺计算和加工方法 ;讨论了大型菲涅耳透镜的光学胶合以及整体扇型切割成型方法 ;给出了研制成功大型菲涅耳透镜的光学检测结果。