壁温周期变化引起的一维热声波的数值模拟

本文采用可压缩流动的SIMPLE算法对壁温周期变化引起的气体中的一维热声波的产生和传播进行了数值模拟,分析了其中的流动和换热规律.计算结果表明,壁面温度周期变化可以产生大振幅的热声波,当其达到准平衡状态时温度产生稳态的超温现象,超温幅度的大小和极值的位置随着加热温度的振幅和频率变化而不同.超温现象导致冷壁面的温度梯度增大,强化了介质与冷壁面间的换热.     

High efficiency continuous-wave tunable signal output of an intracavity singly resonant optical parametric oscillator based on periodically poled lithium niobate

In this paper we report on a continuous-wave (CW) intracavity singly resonant optical parametric oscillator (ICSRO) based on periodically poled LiNbO₃ (PPLN) pumped by a diode-end-pumped CW Nd:YVO₄ laser. Considering the thermal lens effects and diffraction loss, an optical ballast lens and a near-concentric cavity are adopted for better operation. Through varying the grating period and the temperature, the tunable signal output from 1406~nm to 1513~nm is obtained. At a PPLN grating period of 29~μ m and a temperature of 413~K, a maximum signal output power of 820~mW at 1500~nm is achieved when the 808~nm pump power is 10.9~W, leading to an optical-to-optical conversion efficiency of 7.51%.     

Wave propagation through a periodic array of inclined cracks

In the frame of wave propagation in damaged (elastic) solids, an analytical approach for normal penetration of a plane wave through a periodic array of inclined cracks is developed. The problem is reduced to an integral equation holding over the length of each crack; approximated forms (of one-mode and low-frequency types) are then given to the kernel, so as to derive explicit formulas for the reflection and transmission coefficients. Numerical resolution of the relevant equations finally provides some graphs that are compared.     

(1+1)维非局域非线性介质的边界对表面孤子的影响

对非局域非线性介质中, (1+1)维表面亮孤子进行了研究, 主要考虑了边界对孤子的影响. 首先, 在归一化系统中, 对于给定的边界条件, 求出了表面孤子的解析解, 得到了表面孤子的临界功率和平衡位置. 其次, 在数值模拟中, 发现当样品宽度太小时, 受到边界影响而很难形成表面孤子, 只有当样品宽度足够大时, 边界对孤子的影响可以忽略, 从而形成稳定传输的孤子, 并与解析的结果相似. 此外, 还考虑了在光束偏离平衡位置入射的情况下, 边界对孤子的影响, 发现此时光束在边界附近做周期性震荡, 相当于体介质中双光束相互作用的结果, 两者运动轨迹与震荡周期完全符合. 关键词： 非局域非线性 边界 样品宽度 周期震荡     

准相位匹配PPLN倍频理论研究与优化设计

对准相位匹配周期性极化铌酸锂(PPLN)倍频进行了理论研究，并对聚焦高斯光束条件下的倍频耦合波方程进行了求解，给出了准相位匹配倍频转换效率公式，分析了晶体长度与聚焦程度的关系，在此基础上对倍频谐振腔进行了优化设计，以期获得最大的倍频转换效率.本结果对准相位匹配倍频器件的设计具有一定的指导意义. 关键词： 倍频 准相位匹配 周期性极化铌酸锂     

Linear stability analysis of flow in a periodically grooved channel

We have conducted the linear stability analysis of flow in a channel with periodically grooved parts by using the spectral element method. The channel is composed of parallel plates with rectangular grooves on one side in a streamwise direction. The flow field is assumed to be two‐dimensional and fully developed. At a relatively small Reynolds number, the flow is in a steady‐state, whereas a self‐sustained oscillatory flow occurs at a critical Reynolds number as a result of Hopf bifurcation due to an oscillatory instability mode. In order to evaluate the critical Reynolds number, the linear stability theory is applied to the complex laminar flow in the periodically grooved channel by constituting the generalized eigenvalue problem of matrix form using a penalty‐function method. The critical Reynolds number can be determined by the sign of a linear growth rate of the eigenvalues. It is found that the bifurcation occurs due to the oscillatory instability mode which has a period two times as long as the channel period. Copyright © 2003 John Wiley & Sons, Ltd.     

Period and temperature tuning of cascaded opticalparametric oscillator based on periodically poled LiNbO3

We report the broadly tunable source by a cascaded optical parametric oscillator in the periodically poled LiNbO_3 (PPLN) with domain grating period and temperature tuning. The optical parametric oscillator was pumped by a passive Q-switched Nd:YVO_4 laser. Multi-wavelength outputs from visible to infrared were obtained. The temperature of the PPLN crystal changed within the range of 70－150℃ with different periods of PPLN. The tunable range covered from 433 to 1657nm.     

I型准相位匹配周期性极化铌酸锂倍频蓝光输出

在周期为 14 .5 μm的周期性极化铌酸锂中 ,利用d3 1,得到了一阶I型EωYEωY-E2ωZ (oo-e)准相位匹配蓝光二次谐波。在 15 0℃下 ,由 114 μJ抽运光 ,得到了 5 2 μJ ,0 .4 73μm倍频蓝光 ,对应于平均最大转换效率 4 5 .6 %。制备了一阶和三阶周期分别为 4 .5 μm和 13.5 μm的周期性极化铌酸锂。在EωZEωZ-E2ωZ (ee -e)准相位匹配 0 .4 73μm蓝光倍频中 ,15 0℃下 ,分别得到了 4 1.3%和 19%的倍频转换效率。oo -e准相位匹配比传统的ee -e准相位匹配有较大的光栅周期 ,尤其在短波长区域倍频输出应用中 ,降低了周期性结构制作的困难 ,其较大的容许带宽在实验中提高了频率转换效率。实验结果表明了在周期性极化铌酸锂中准相位匹配倍频的偏振相关性。     

Finite‐Time lag synchronization of delayed neural networks via periodically intermittent control

The problem of finite‐time lag synchronization of delayed neural networks via periodically intermittent control is studied. In two sections, based on the same finite‐time stability theory and using the same sliding mode control, by designing a periodically intermittent feedback controller and adjusting periodically intermittent control strengths with the updated laws, we achieve the finite‐time lag synchronization between two time delayed networks. In addition, we ensure that the trajectory of the error system converges to a chosen sliding surface within finite time and keeps it on forever. Finally, two examples are presented to verify the effectiveness of the analytical results obtained here. © 2015 Wiley Periodicals, Inc. Complexity 21: 211–219, 2016     

Least squares method for statistical analysis of polyrhythmics

The least squares estimate methods for estimation of characteristics of almost periodically correlated random processes as mathematical models of stochastic oscillations with polyrhythmical structure are considered. The bias and variance of mean and correlation function estimates are analyzed. Asymptotic formulas for them are deduced.