大功率TEACO2非稳腔激光器的远场传输特性

针对大功率激光器的远场传输特性,提出了一种测量TEACO,远场光束传输特性的新方法,该法采用相对测量和绝对测量相结合的方式来获得高能激光器的绝对空间光强分布。利用该方法测试了2kW脉冲TEACO,非稳腔激光器在500m处的光强分布,并对测试结果进行了分析讨论。实验结果表明,此方法简单、易行,准确度较高,而且测量过程中考虑了大气湍流的影响,光斑强度相对分布上出现了平顶、破碎并出现旁瓣现象,实测大气透过率为81．5％,最大功率密度为1．59W／cm^2,光束的横向远场发散角达到0．64mrad,基本与理论计算结果相吻合。本研究将为评估激光系统的应用效果及系统的优化设计提供重要的参考。     

Guiding Properties of a Tapered Photonic Crystal Fiber Compared with Those of a Tapered Single-Mode Fiber

We have fabricated tapered photonic crystal fibers using a fusion splicer and experimentally observed the near-field mode distribution and the beam divergence of it. We have also compared characteristics of the tapered photonic crystal fiber with those of a tapered standard single-mode fiber. Unlike a tapered standard single-mode fiber, the mode field profile of a tapered photonic crystal fiber shows a good confinement of its field within the core region. The numerical apertures of tapered photonic crystal fibers are increased as the diameter of the fiber is decreased.     

Time-dependent molecular fields created by the interaction of an external electro-magnetic field with a molecular system: the derivation of the wave equations

This article continues a previous study (Int. J. Quantum Chem. 114, 1645 (2014)) in which is presented a theory that discusses the possibility to induce a novel field – to be called molecular field – via the interaction of an external electro-magnetic (EM) field and a molecular system. Assuming the molecular system is made up of two coupled adiabatic states the theory leads from three time-space curl equations and one time-space divergence equation to a set of decoupled wave equations usually encountered for fields. In the present study, wave equations are derived for an external field having two features: (1) the field intensity is relatively high enough; (2) the duration of the interaction is short enough.

For this situation, the study reveals that the just mentioned interaction creates two fields that coexist within a molecule: one is just a scalar EM field essentially identical to the external EM field and the other, a vectorial field, produced by the non-adiabatic coupling terms. In addition, we mention that the wave velocities related to these two fields are identical to the wave velocity, c, of the external EM field.     

聚焦毛细管在极紫外平行光管中的应用

采用聚焦毛细管将通用的极紫外光源引出法兰口之外,并控制光束发散角,以匹配平行光管孔径角。分析计算了直接用光源照亮靶盘的情形,光束不能充满有效主镜面上的直径;设计使用聚焦毛细管,使光束充满平行光管孔径角,并对极紫外平行光管有无毛细管两种状态进行测试。测试结果表明,采用聚焦毛细管后,扩大了光束的发散角,并且无毛细管的最大光子计数接近1×105个,加毛细管后最大光子计数能达到1×104个。测试数据说明极紫外聚焦毛细管的传输效率可以达到10%,能够满足极紫外平行光管的各项技术指标要求。     

带有组结构的稀疏模型的参数估计和变量选择方法

本文针对带有组结构的广义线性稀疏模型,引入布雷格曼散度作为一般性的损失函数,进行参数估计和变量选择,使得该方法不局限于特定模型或特定的损失函数.本文比较研究了Ridge,SACD,Lasso,自适应Lasso,组Lasso,分层Lasso,自适应分层Lasso和稀疏组Lasso共8种惩罚函数的特点和引入模型后参数估计和...     

关于广义Beltrami方程组

该文考虑广义Beltrami方程组D~tf(x)H(x)Df(x)=J(x,f)~(2/n)G(x).(*)利用能量和变分方法,在矩阵H(x),G(x)∈S(n)满足一致椭圆型条件下,得到了(*)式所满足的齐次散度型椭圆方程DivA(x,Df(x))=0,并得到了(*)式的分量函数的弱单调性和Caccioppoli不等式.     

散度形式椭圆型方程弱下解的局部估计

运用De Giorgi迭代技巧,得到了一般散度形式的椭圆型偏微分方程弱下解的局部估计,推广了有关文献中的结论.     

一类无穷小(大)量的判别法及其应用

将级数敛散性判别法中的D’Alembert和Cauchy判别法移植到无穷小(大)数列上,可得到关于无穷小(大)数列的D’Alembert和Cauchy判别法,从而解决无穷小(大)数列的判别问题.     

The role of duality in optimization problems involving entropy functionals with applications to information theory

We consider infinite-dimensional optimization problems involving entropy-type functionals in the objective function as well as as in the constraints. A duality theory is developed for such problems and applied to the reliability rate function problem in information theory.This research was supported by ONR Contracts N00014-81-C-0236 and N00014-82-K-0295 with the Center for Cybernetics Studies, University of Texas, Austin, Texas. The first author was partly supported by NSF.