272 W quasi-single-mode picosecond pulse laser of ytterbium-doped large-mode-area photonic crystal fiber

A large-mode-area(LMA) ytterbium-doped photonic crystal fiber(PCF) with core NA of 0.034 and core diameter of 50 μm was made by the stack-and-draw technique. The core is formed by Yb~(3+)/Al~(3+)/F-/P~(5+) co-doped silica glass containing 0.09 mol% Yb_2O_3 with an absorption coefficient at 976 nm up to 3.2 d B/m. The core glass with homogeneous distribution of Yb~(3+) ions and refractive index difference of 4 × 10~(-4) compared with pure silica was prepared by the sol-gel method and heat homogenization at 2000°C. Laser power amplification of this LMA PCF was studied using a seed source of 21 ps pulse duration and 48.7 MHz repetition rate at 1030 nm wavelength. With pump power of 520 W, a maximum 272 W(266 k W peak power) quasi-single-mode laser output with M~2 of 2.2 was achieved in a 4.7 m fiber length bent at a diameter of 47 cm with slope efficiency of 52%, and no obvious mode instability, stimulated Raman scattering, or thermal damage on the end facet of the fiber were observed.     

L~1空间中带弱奇异核的第二类Fredholm积分方程的数值解法

在L¹空间中,研究带弱奇异核的第二类Fredholm积分方程.将弱奇异核转换成连续核,给出了一种数值求解的算法,并举出具体算例.     

Watt-level Yb-doped silica glass fiber laser with a core made by sol-gel method

A Yb-doped silica glass fiber laser with a core made by sol-gel method is reported. The maximum power of 1.14 W is obtained with a pump power of 5.46 W at a wavelength of 976 nm. The slope efficiency is 34%. The refractive index fluctuation across the core is below 5×10^-4 at a doping level of Yb 0.15 mol%, A203 4.0 mol%, and P2O5 2.0 mol%. High background attenuation of 6 dB/m at 1 053 nm limites the slope efficiency and maximum output power.     

L~1空间中迁移方程的解对边界参数的连续依赖性

在L~1空间研究平板几何中具有不完全反射边界条件的迁移方程,证明了迁移算子的共轭算子的定义域的正锥在共轭空间的正锥中共尾,得到迁移算子的谱界等于增长界.利用主算子的预解式对边界参数连续依赖最终证明了迁移方程的解对边界参数连续依赖.     

一类复杂可修退化系统解的最优控制

证明了系统非负动态解存在惟一性和渐进稳定性的基础上进一步通过以指标泛函作为衡量系统可控性的标准研究了一类复杂可修退化系统解达到预期概率分布的最优控制问题.     

可修复人机储备系统稳态解的最优控制

针对可修复人机储备系统的模型,以范数指标泛函作为衡量系统可控性的标准,利用Banach空间理论讨论系统稳态解达到预期概率分布的最优控制问题,给出了其最优解存在唯一性.     

2 μm mode-locking laser performances of sol-gel-fabricated large-core Tm-doped silica fiber

High-power ultrafast fiber lasers operating at the 2 μm wavelength are extremely desirable for material processing, laser surgery, and nonlinear optics. Here we fabricated large-core(LC) double-cladding Tm-doped silica fiber via the sol-gel method. The sol-gel-fabricated Tm-doped silica(SGTS) fiber had a large core diameter of 30 μm with a high refractive index homogeneity(Δn=2 × 10~(-4)). With the newly developed LC SGTS fiber as the gain fiber, high-power mode-locking was realized. By using a semiconductor saturable absorber mirror(SESAM) as a mode locker, the LC SGTS fiber oscillator generated mode-locked pulses with an average output power as high as 1.0 W and a pulse duration of 23.9 ps at the wavelength of 1955.0 nm. Our research results show that the self-developed LC Tm-doped silica fiber via the sol-gel method is a promising gain fiber for generating high-power ultrafast lasers in the 2 μm spectral region.     

多壁碳纳米管/环氧树脂纳米复合材料的摩擦磨损性能研究

采用浇铸法,利用超声分散制备了多壁碳纳米管(MWNTs)/环氧树脂(EP)纳米复合材料,研究了MWNTs的添加量及分散程度对复合材料表面形貌和摩擦磨损性能的影响,并探讨了影响MWNTs/EP复合材料摩擦磨损性能的因素.结果表明:随着MWNTs加入量的提高(1%～4%),复合材料的摩擦系数和磨损率均呈现降低趋势,摩擦系数由0.60降到0.22,磨损率由1.11×10-4mg/(N·m)降为2.22×10-5mg/(N·m);在MWNTs添加量(1%)相同的情况下,MWNTs分散程度高的复合材料的摩擦性能更好.纯环氧树脂与45#钢对摩时发生粘着磨损和疲劳剥落,而由于MWNTs的增强和自润滑作用,MWNTs/EP复合材料的粘着磨损和疲劳剥落显著减轻.