Lu2Si2O7：Ce晶体的闪烁性能

用提拉法生长了Lu2Si2O7：Ce晶体，对该晶体的闪烁性能进行了研究。透射光谱表明，Lu2Si2O7：Ce晶体的吸收边比Lu2SiO5：Ce晶体向短波方向移动了25nm，使透光范围进一步拓宽。X射线发射光谱和UV激发发射光谱均具有典型的双峰特征，主峰在378nm。UV激发发射谱具有温度效应，即375K以上时，发光效率迅速降低；425K以上时，发光主峰位明显红移。衰减曲线符合单指数式衰减规律，常温下经UV激发后的衰减时间约为34ns。从曲线形态看，375K以下的衰减谱与室温下的几乎完全相同，拟合的结果在32．8～34ns之间；衰减时间的温度效应从375K开始显现，即随温度的升高，衰减时间有加速变短的趋势，到500K时缩短为6．72ns。热释光谱在488，553K处有两个热释光峰，但室温附近几乎观察不到热释光峰。     

基于分步式压印光刻的激光干涉仪纳米级测量及误差研究

针对在未做隔离保护处理的环境中，基于Michelson干涉原理的激光干涉仪测量系统存在严重的干扰误差，不适合分步式压印光刻纳米级对准测量的要求.采用Edlen公式的分析及计算，不仅在理论上揭示出环境温度、湿度、气压等变化对激光干涉仪测量准确度的影响，而且证明影响测量准确度的最大干扰源是空气流动的结果.通过气流隔离措施和系统测量反馈校正控制器，能够实时补偿激光干涉仪两路信号的相差.最终，测量漂移误差在10 min内由13 nm降低到5 nm以内，满足压印光刻在100 mm行程中达到20 nm定位准确度要求.     

粒子-转子模型和推转壳模型中的能谱统计分析

用粒子–转子模型和推转壳模型研究了6个粒子分别填充在单j壳和双j壳上的混沌行为.分析了单j壳和双j壳情况下能谱的最近邻能级间距分布和谱刚度随自旋及推转频率的变化,结果表明,当组态空间大小不变时,系统在双j壳(g_7/2+d_5/2)情况下比在单j壳(i_13/2)情况下更规则,而当组态空间从单j壳(i_13/2)扩大到双j壳(i_13/2+g_9/2)时,系统的混沌程度变化不大.同时比较了将6个粒子的两体相互作用分别取为δ力和对力时的系统的混沌行为     

Kolmogorov Width of Classes of Smooth Functions on the Sphere

Let ^d−1{(x₁,…,x_d) ^d:x²₁+···+x²_d=1} be the unit sphere of the d-dimensional Euclidean space ^d. For r>0, we denote by B^r_p (1p∞) the class of functions f on ^d−1 representable in the formwhere dσ(y) denotes the usual Lebesgue measure on ^d−1, and P^λ_k(t) is the ultraspherical polynomial.For 1p,q∞, the Kolmogorov N-width of B^r_p in L^q( ^d−1) is given bythe left-most infimum being taken over all N-dimensional subspaces X_N of L^q( ^d−1).The main result in this paper is that for r2(d−1)²,where A_NB_N means that there exists a positive constant C, independent of N, such that C⁻¹A_NB_NCA_N.This extends the well-known Kashin theorem on the asymptotic order of the Kolmogorov widths of the Sobolev class of the periodic functions.     

Soliton interaction under the influence of higher-order effects

In this paper, we present exact N-soliton solution by employing simple, straightforward Darboux transformation based on the Lax pair for Hirota equation, a higher-order nonlinear Schrödinger (HNLS) equation. As examples, one- and two-soliton solutions in explicit forms are given and their properties are also analyzed. A bound solution without interaction will be theoretically predicted if one can adjust frequency shift for each soliton appropriately. Further, we obtain the approximate eigenvalues by employing two-soliton solution and discuss analytically the interaction between neighboring solitons under the influence of the higher-order effects. It is shown that the combined effects of the higher-order effects can restrain the interaction between neighboring solitons to some extent. The results are proved by directly solving HNLS equation numerically.     

A High Power Conversion Efficiency L-Band Erbium Doped Fiber Amplifier

By using two sections of erbium doped fiber and a fiber optical reflector, a novel, highly efficient L bandamplifier is demonstrated with significantly power-conversion-efficiency enhancement and the gain increasing of as much as 13 dB.     

Electron–hole complexes in self-assembled quantum dots in strong magnetic fields

We present results of calculations and experiments on electron–hole complexes in InGaAs/GaAs self-assembled quantum dots in high magnetic field (B). Due to hidden symmetries, the chemical potential of an N-exciton system at special B fields becomes insensitive to the exciton number as well as the magnetic field. This results in plateau regions of high intensity in measured magneto-PL spectrum. Theoretical calculations using exact diagonalization techniques successfully explain the measured magneto-photoluminescence spectrum with B fields up to 28 T.     

A Facile Synthesis of α-Phenylthio-α,β-Unsatuated Esters

α-phenylthio-α，β-unsaturated esters 6 were synthesized by Witting reaction of 3.which were prepared by a phenylsulfenyllation-trans-ylidation reaction.     

Optimal Control of Non-well-posed Heat Equations

This work is concerned with Pontryagin＇s maximum principle of optimal control problems governed by some non-well-posed semilinear heat equations. A type of approach to the non-well-posed optimal control problem is given.