HLS储存环束流发射度研究

 研究了合肥光源(HLS)储存环束流发射度与其长直线节消色散条件之间的关系；在考虑到H函数的匹配时，计算了储存环最低束流发射度；为光源多种运行模式提供了理论依据。     

On stable equivalences of Morita type for finite dimensional algebras

In this paper, we assume that algebras are finite dimensional algebras with 1 over a fixed field and modules over an algebra are finitely generated left unitary modules. Let and be two algebras (where is a splitting field for and ) with no semisimple summands. If two bimodules and induce a stable equivalence of Morita type between and , and if maps any simple -module to a simple -module, then is a Morita equivalence. This conclusion generalizes Linckelmann's result for selfinjective algebras. Our proof here is based on the construction of almost split sequences.

     

Single-Mode Parabolic Gain-Guiding Optical Fiber with Core Diameter up to 200?μm

In this paper, a new type of gain guiding fiber is presented, with a parabolic-profile for both the gain and index guiding. Theoretical investigation shows that the core diameter of such fiber may be up to 200 μm while propagating with single-mode.     

Pulsed Laser Characteristics of Nd∶GdCOB Crystal at 1331.0 nm

A large size and high optical quality Nd:GdCOB crystal was obtained by CZ pulling method. The crystals were cut in two sample with the same dimension of 3×3×8mm3.     

QUASILINEAR-ADDITIVE PROPERTIES AND APPLICATIONS

In this article, the authors study some basic properties of the so-called quasilinear- additive functions, and some applications to the special functions of quasiconformal analysis are specified.     

Error estimate of eigenvalues of perturbed second-order discrete Sturm–Liouville problems

This paper is concerned with eigenvalues of perturbed second-order vector discrete Sturm–Liouville problems. By some variational properties of eigenvalues of discrete Sturm–Liouville problems, error estimates of eigenvalues of perturbed problems, sufficiently close to a given Sturm–Liouville problem, are given under a certain non-singularity condition. Perturbations of the coefficient functions of the difference equation, the weight function, and the coefficients of the boundary condition are all considered. This, together with higher-dimension involved, results in a certain complexity of the problem and difficulty of study. As a direct consequence, continuous dependence of eigenvalues on problems is obtained under the non-singularity condition. In addition, an example is presented to illustrate the necessity of the non-singularity condition.     

N 元指数和对数平均的凸性及几何凸性

讨论了n 元指数平均和对数平均的凸性、S - 凸性、几何凸性及S - 几何凸性, 证明了:(1) n 元指数平均是S - 凹的和S - 几何凸的; (2) n 元第一对数平均是S - 凹的; (3) n 元第二对数平均是凹的和几何凸的. 最后提出了二个悬而未决的问题.     

Dye-laser-pumped Nd:GdCOB Self-frequency-doubling Laser

Nd:Ca4GDO(BO3)3, abbreviated as Nd:GdCOB, is a new multifunctional material for self-frequency-doubling green lasers. By using datachroom-5000 pulsed dye-laser as pumping source, we have achieved green laser output at 530.2 nm from a Nd:GdCOB crystal (7 mol-% Nd3+) uncoated HT film for 1.06 μm and 0.53 μm. The threshold energy is lower than 1.2 mJ. When the pumping energy is 17.5 mJ, the output energy of the green laser is 1.35 mJ and the corresponding conversion efficiency is 7.7%.     

完全椭圆积分和Hersch-Pfluger偏差函数

该文建立了Hersch-Pfluger偏差函数ψK(r)和第二类完全椭圆积分ε(r)之间的关系. 通过对完全椭圆积分及某些初等函数的组合的单调性和凹凸性的研究获得了完全椭圆积分的一些不等式, 并且藉此得到Hersch-Pfluger偏差函数ψK(r)的几个渐进精确的上界估计.