概率论与数理统计教学案例研究

给出了概率论与数理统计课程中的两个教学案例.案例一是针对新冠筛查中逐一检验和分组检验的问题,结合概率论与数理统计中离散型随机变量的分布列及其数学期望的知识点给出的,并进行了问题的引申研究.案例二是针对图像加密的安全性问题,结合概率论与数理统计中相关系数定义以及基于概率的信息熵的概念,给出了一个适用于信息安全专业的专业案...     

High repetition rate all-normal dispersion Yb:fiber laser for minimum pulses

Simulation and experimental results for high repetition rate all-normal dispersion Yb:fiber ring lasers are demonstrated for the cavity dispersion from 0.01 to 0.025 ps 2 .The simulation shows that the pulse spectrum has the potential to reach>30 nm for the dispersion of 0.014 ps 2 under practical pump power. This potential is proved by the experiment.Maximum spectral width of 30 nm is achieved at the repetition rate of 285 MHz under the 850-mW pump power.Average output power is 550 mW and dechirped pulse is 78 fs.     

Design and simulation of a new type of 500 MHz single-cell superconducting RF cavity

This paper illustrates the design and simulation of a unique 500 MHz single-cell superconducting radio frequency cavity with a fluted beam pipe and a coaxial-type fundamental power coupler. The simulation results show that the cavity has a high r/Q value, a low peak surface field and a large beam aperture, so it can be a candidate cavity for high current accelerators. With the help of a fluted beam tube, almost all the higher order modes can propagate out of the cavity, especially the first two dipole modes, TE₁₁₁ and TM₁₁₀, and the first higher monopole mode, TM₀₁₁. The external quality factor of the coaxial fundamental power coupler is optimized to 1.2×10⁵, which will be useful when it is applied in the light source storage ring.     

幂律速度运动表面上磁流体在驻点附近的滑移流动

从理论上研究了具有非线性延伸表面的磁流体在滑移流区的动量传输问题.通过Lie群变换把控制方程组转化为常微分方程组,利用同伦分析方法求得了问题的近似解析解.获得的级数解与文献中的数值解吻合得较好.另外,利用级数解分析滑移参数、磁场强度、速度比率参数、吸入喷注参数和幂律指数对流动的影响.结果显示这些参数对壁剪切力和边界层内流场有较大的影响.     

液晶空间光调制器在飞秒脉冲色散补偿中的应用

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Contrastive study of two SESAMs for passive mode-locking in Nd:YVO_4 laser with low pump power

Two semiconductor saturable absorber mirrors (SESAMs), of which one is coated with 50% reflection film on the top and the other is not, were contrastively studied in passively mode-locked solid-state lasers which were pumped by low output power laser diode (LD). Experiments have shown that reducing the modulation depth of SESAM by coating partial reflection film, whose reflectivity is higher than that between SESAM and air interface, is an effective method to get continuous wave (CW) mode-locking instead of Q-switched mode-locking (QML) in low power pumped solid-state lasers. A simple Nd:YVO4 laser pumped by low power LD, in which no water-cooling system was used, could obtain CW mode-locking by the 50% reflector coated SESAM with average output power of ~ 20 mW.     

低温生长GaAs在Nd∶YVO_4激光器中调Q特性的研究

采用一种新型的被动调Q饱和吸收体,低温生长GaAs薄膜,实现了半导体抽运Nd∶YVO4激光器的调Q运转.研究了激光器的调Q特性,调Q抽运阈值为2W.在抽运功率9.2W时,获得的最短脉冲半峰全宽为15ns,最大单脉冲能量为4.84μJ,最高峰值功率为330W,最大平均输出功率为1.16W;脉冲重复频率在220kHz到360kHz之间.     

载波-包络相位对于基频光与其自身倍频光脉冲合成的影响

将基频光与其自身的倍频光合成，是一种得到超过一个倍频程的超宽光谱的简单方法，而载波_包络相位(CEP)对合成超宽光谱产生的超短脉冲有重要的影响. 本文从光频梳的角度，根据钛宝石激光器中产生的超短脉冲光谱，计算载波_包络相位对该脉冲与其自身的倍频脉冲合成产生的超短脉冲的影响，说明了调整载波_包络相位对于脉冲合成的重要性. 关键词： 超短脉冲 载波_包络相位 光频梳 脉冲合成     

Comparison between Two Kinds of Semiconductor Absorbers for Mode-Locking in Nd：YVO4 Laser

We have demonstrated passive mode-locking in a diode-end-pumped Nd：YV04 laser using two kinds of semiconductor absorbers whose relaxation region comes from Ino.2sGao.75As grown at low temperature （LT） and GaAs/air interface respectively. Mode-locking, using absorbers of the GaAs/air interface relaxation region, has the characteristics of less Q-switching tendency and higher average output power than that using absorbers of LT In0.25Ga0.75As relaxation region, but is not as stable as the latter.     

束缚高压强气体中成丝的空心毛细管芯径对光谱展宽的影响

采用空心毛细管束缚强飞秒激光脉冲在高压强气体中产生的成丝时，空心毛细管芯径对光谱展宽有着重要的影响. 研究了空心毛细管束缚成丝时，空心毛细管芯径对光谱展宽的影响. 结果表明，在低能量(0.4mJ)入射时，光谱展宽主要由成丝引起，而在高能量(1.3mJ)入射时，空心毛细管起到光波导效应参与了光谱展宽. 当能量介于二者之间时，采用芯径较小的空心毛细管，可以获得更好的光谱展宽效果. 关键词： 毛细管 成丝 束缚 光谱展宽