GL(n,K)中一类准可解子群的结构及其在Fuchsian系统中的应用(英文)

本文研究了单值群的可解性与Fuchsian方程可积性之间的关系.利用可解群及GL(n,K)的性质,获得GL(n,K)中一类准可解子群的结构定理,并将之心用于Fuchsian系统的可积性研究之中.     

宽波段连续调谐全固态CW PPMgLN光学参量振荡器

利用半导体激光泵浦输出1064 nm波长的全固态连续Nd:YVO4激光器作为泵浦源,采用周期调谐和温度调谐组合调谐技术,对基于掺氧化镁周期性极化铌酸锂晶体（MgO:LiNbO3, PPMgLN）准相位匹配（QPM）的全固态连续波（CW）光学参量振荡器（OPO）宽波段无分立连续调谐输出特性进行研究。实验采用连续工作模式和外腔结构,基于多周期PPMgLN晶体的30.2,30.4和30.6 m周期,在改变晶体的极化周期的基础上,同时在30～100 ℃范围内调节晶体工作温度。实验结果表明:CW PPMgLN OPO的泵浦阈值仅为0.22 W;不同极化周期需要的温度调谐范围不同;信号光在1 559.8～1 597.2 nm近红外波段和闲频光在3 187.3~3 347.3 nm中红外波段连续调谐输出。实现了外腔式全固态CW OPO在信号光和闲频光波段的无分立连续调谐输出。     

关于GA-凸函数的若干Hadamard型不等式

利用GA-凸函数的定义及其Hadamard型不等式,得到与重积分有关的GA-凸函数Hadamard型不等式的推广和加细.     

The quasi-reversibility method to solve the Cauchy problems for parabolic equations

In this paper, on the one hand, we take the conventional quasi-reversibility method to obtain the error estimates of approximate solutions of the Cauchy problems for parabolic equations in a sub-domain of QT with strong restrictions to the measured boundary data. On the other hand, weakening the conditions on the measured data, then combining the duality method in optimization with the quasi-reversibility method, we solve the Cauchy problems for parabolic equations in the presence of noisy data. Using this method, we can get the proper regularization parameter ε that we need in the quasi-reversibility method and obtain the convergence rate of approximate solutions as the noise of amplitude δ tends to zero.     

环F_p+uF_p+vF_p+uvF_p上的循环码

讨论了非有限链环R=F_p+uF_p+vF_p+uvF_p上的循环码.通过环R上的循环码与多项式环R_n=(F_p+uF_p+vF_p+uvF_p)[x]/(xⁿ-1)的理想的对应关系及对R_n的研究给出了R上循环码的刻画.最后定义了一个Gray映射,并刻画了F_p+uF_p+vF_p+uvF_p上的循环码在该映射下的像.     

Structural, electronic, and optical properties of ZnOl_xSex alloys using first-principles calculations

The structural, electronic, and optical properties of binary ZnO, ZnSe compounds, and their ternary ZnOl_xSex alloys are computed using the accurate full potential linearized augmented plane wave plus local orbital （FP-LAPW ＋ lo） method in the rocksalt （B 1） and zincblende （B3） crystallographic phases. The electronic band structures, fundamental energy band gaps, and densities of states for ZnO1_xSex are evaluated in the range 0 〈 x 〈 1 using Wu-Cohen （WC） generalized gradient approximation （GGA） for the exchange-correlation potential. Our calculated results of lattice parameters and bulk modulus reveal a nonlinear variation for pseudo-binary and their ternary alloys in both phases and show a considerable deviation from Vegard＇s law. It is observed that the predicted lattice parameter and bulk modulus are in good agreement with the available experimental and theoretical data. We establish that the composition dependence of band gap is semi-metallic in B1 phase, while a direct band gap is observed in B3 phase. The calculated density of states is described by taking into account the contribution of Zn 3d, O 2p, and Se 4s, and the optical properties are studied in terms of dielectric functions, refractive index, reflectivity, and energy loss function for the B3 phase and are compared with the available experimental data.     

中低强度砼中粉煤灰和高效减水剂的掺加技术

根据试验所得的数据,对同标号基准砼和高性能砼的性能进行对比,论证了在基准砼中掺加粉煤灰和高效减水剂的作用,对粉煤灰的最佳掺量和高效减水剂的掺加技术做了进一步研究,探讨了中、低强度砼可持续发展的途径。     

磁流变液阻尼器控制转子突加不平衡响应的特性

建立了磁流变液阻尼器-单盘悬臂柔性转子系统突加不平衡响应的计算模型,理论分析了转子系统的突加不平衡响应特性,提出了抑制突加不平衡瞬态振动的方法。     

准二维各向同性激光冷却的光场仿真

在各向同性激光冷却原子实验中,光场分布是影响冷原子分布的重要因素,可以利用真空腔的结构和激光的注入方式的不同来调控腔内的冷原子分布。本文提出了一种扁平形漫反射腔体结构,并对冷却光的不同注入方式和不同尺寸的腔体结构形成的光场分布进行了仿真。仿真结果表明,与自由空间光入射相比,激光由光纤入射能够获得更均匀的准二维分布的光场,因此可以通过调节光纤的入射角度及光纤参数,实现对光场均匀度的优化。此外,随着腔体边长的等比放大,腔内光功率密度呈负指数幂衰减。扁平形漫反射腔形状接近二维,在准二维分布的光场和特殊的扁平形腔体结构的作用下,能够获得呈准二维分布的冷原子,在量子传感及量子精密测量领域具有重要的应用前景。