Period Continuous Tuning of an Efficient Mid-Infrared Optical Parametric Oscillator Based on a Fan-out Periodically Poled MgO-Doped Lithium Niobate

We report a period continuously tunable, efficient, mid-infrared optical parametric oscillator （OPO） based on a fan-out periodically poled MgO-doped congruent lithium niobate （PPMgLN）. The OPO is pumped by a Nd：YAG laser and a maximum idler output average power of 1.65W at 3.93μm is obtained with a pump average power of 10.5W, corresponding to the conversion efficiency of about 16% from the pump to the idler. The output spectral properties of the OPO with the fan-out crystal are analyzed. The OPO is continuously tuned over 3.78-4.58μm （idler） when fan-out periods are changed from 27.0 to 29.4μm. Compared with temperature tuning, fan-out period continuous tuning has faster tuning rate and wider tuning range.     

Sierpiński图和Sierpiński金字塔上的一些费马型指标（英文）

本文中我们给出一些费马型指标的结果,包括费马偏心距、费马半径和费马直径.我们使用编码的组合方法确定了Sierpiński图和Sierpiński金字塔的费马半径和费马直径.通过归一化Sierpiński图上的距离,我们给出了Sierpiński金字塔的平均费马偏心距的精确值并由此得到关于Sierpiński图的渐近公式.     

参数向量Ky Fan不等式与对偶问题解映射Lipschitz连续性最优条件

在赋范线性空间中研究参数向量Ky Fan不等式与对偶问题解映射的Lipschitz连续性。提出了参数向量Ky Fan不等式与对偶问题及其有效解的概念，引入了向量函数伪单调性和强拟凸(凹)性，借助分析方法获得了参数向量Ky Fan不等式与对偶问题解映射的Lipschitz连续性最优条件，并举例加以说明。