CLBO晶体用于Nd：YAG激光五次谐波产生的实验研究

一、引言随着激光技术的发展，各类稳定的高功率的固体激光器日趋完善，例如，Nd：YAG激光器，钛宝石激光器等，这些激光器大都工作在可见光及近红外波长区域，然而在生物、化学、医学等诸多领域人们往往需求高功率的紫外光源，所以依靠非线性光学手段，由晶体的非线性变换从已有的各类激光来获得高质量的紫外光源一直是许多科学工作者从事的研究干作·近年来应用较广泛的紫外晶体有：BBO[1]，LiB3O5[2]，CBO[3]，SBBO[4]及CLBO[5]等．本立将报导利用CLBO晶体由1064nm基频光获得266nm及213nm紫外光的实验研究．二、CLBO晶体简介…     

富勒烯抑制自由运转的Nd：YAG激光器中的自锁模

研究了放在Ｎｄ：ＹＡＧ激光腔内的含富勒烯样品对激光波形的影响。实验发现，富勒烯的强非线性吸收可用于光滑纳秒范围的自锁模脉冲序列，估计这是由于双光子吸收引起的。     

三阶非线性光学材料及其表征技术研究进展

介绍三阶非线性光学材料及其表征技术的研究进展。分析几种典型的三阶非线性光学材料及今后的发展趋势，指出介质物理材料的非线性光学特性将成为今后的研究热点。随着表征技术研究的进一步拓展，准波导技术将可能作为一种新的表征技术应用于非线性光学材料研究中。     

410一2200nm角度调谐BBO参量振荡器

介绍了以Nd:YAG激光器的三倍频光作泵浦源，BBO作非线性光学晶体，在410一2200nm波段可连续调谐的光参量振荡器（OPO）的工作原理和实验装置，测定了其调谐曲线的输出能量，并对实验结果做了分析。     

复杂换热网络MINLP中的非线性特性分析

针对复杂换热网络MINLP问题,本文应用多维函数渐变法探索和分析了连续变量和整型变量引起的网络性能非线性和非凸特性。研究表明,当系统规模增大时,不但连续变量的叠加效应将增加系统的非线性,整型变量将使得非线性特性更为严重。     

高温超导薄膜J_c与微波非线性相关性研究

采用微带谐振器技术研究高温超导薄膜的微波非线性问题,介绍了微波非线性的测试方法,描述了测试现象,定量表征了微波功率非线性。将微波非线性与临界电流密度Jc大小的关联性进行分析研究,发现两者关联性弱;同时验证了功率压缩测试方法对高温超导薄膜微波非线性的研究是可行的。     

舰船壳体结构噪声分离技术研究——非线性频谱特征及特征谱分离策略

为分离舰船壳体结构非线性系统的结构噪声,考虑其非线性及响应谱特征,将其理想成纯输入非线性系统,采用Volterra级数模型计算其广义频响函数,获得非线性频谱特征,提出非线性系统噪声源分析策略,并进行数值仿真和试验研究,其结果表明:非线性频谱特征合理存在;提出的非线性系统噪声源分析策略合理有效,可实现系统激励源和广义频响函数的参数估计。非线性频谱特征及提出的非线性系统噪声源分析策略,为深入开展舰船壳体结构噪声的非线性特征识别及其特征谱分离研究提供基础。     

对“求一类非线性偏微分方程解析解的一种简洁方法”一文的一点注记

利用文献中所引入的变换，将一个非线性偏微分方程化为一个非线性常微分方程，再直接求解该常微分方程，从而简洁地求得了Burgers方程的几个精确解析解.所得结果与已有结果完全符合. 关键词： 非线性偏微分方程 非线性常微分方程 解析解     

基于神经网络内部模型的非线性偏最小二乘法用于火电厂烟气光谱定量分析

针对火电厂烟气光谱数据的非线性特性,采用了基于神经网络内部模型的非线性偏最小二乘定量分析方法。该方法进行偏最小二乘（PLS）回归后,将自变量和因变量的隐变量作为神经网络的输入和输出进行训练,即可得到非线性内部模型。将PLS、基于向后传递神经网络内部模型的非线性PLS（BP-NPLS）、基于径向基函数神经网络内部模型的非线性PLS（RBF-NPLS）和基于自适应模糊推理系统内部模型的非线性PLS（ANFIS-NPLS）对火电厂烟气多组分进行测定后比较,BP-NPLS、RBF-NPLS和ANFIS-NPLS较之PLS,将二氧化硫预测模型的预测均方根误差（RMSEP）分别降低了16.96%,16.60%和19.55%;将一氧化氮预测模型的RMSEP分别降低了8.60%,8.47%和10.09%;将二氧化氮预测模型的RMSEP分别降低了2.11%,3.91%和3.97%。实验表明,非线性PLS较PLS更适用于火电厂烟气定量分析。通过神经网络对非线性函数的高度逼近特性,基于本文所提及内部模型的非线性偏最小二乘方法有较好的预测能力和稳健性,在一定程度上解决了基于多项式和样条函数等其他内部模型的非线性偏最小二乘方法的自身局限性。其中,ANFIS-NPLS的效果最好,自适应模糊推理系统的学习能力能够有效降低残差,使模型具有较好的泛化性,是一种比较准确实用的火电厂烟气定量分析方法。     

非线性光纤光学中非线性薛定谔方程推导逻辑的探讨

非线性薛定谔方程是描述光脉冲在光纤中非线性传输的基本方程,广泛应用于光纤通信、光纤激光器等领域。在现有的非线性光纤光学的经典教材中对非线性薛定谔方程的推导,采用的是直接在非线性介电常数中引入非线性折射率效应。本文指出了该方法对于传输方程非线性项处理的局限甚至不妥之处,给出了一种非线性薛定谔方程较严格的推导方法,即从非线性的波动方程出发,讨论不同非线性效应的非线性极化强度驱动源的不同表现形式,并将方程作横向积分处理。本文详细阐述了从非线性源的角度出发推导非线性薛定谔方程的方法,并以四波混频等非线性效应为例,帮助读者理解非线性效应对于传输方程的影响;此外,还探讨了在推导非线性薛定谔方程中的正负频表示等问题。     

Generation of pulsed squeezed light in a mode-locked optical parametric oscillator

The generation of pulsed squeezed light using an optical parametric oscillator (OPO) is discussed. This mode-locked optical parametric oscillator consists of a nonlinear crystal in a cavity which is resonant for both signal and idler waves and which is synchronously pumped by the second-harmonic of an acousto-optically mode-locked cw Nd: YAG laser. The fundamental wavelength of the pump laser provides local oscillator pulses for balanced homodyne detection of squeezed vacuum pulses emitted by the oscillator when operated below oscillation threshold. Photocurrent noise reduction to 30% below the classical shot-noise limit is observed, corresponding to squeezing of the field to a level approximately a factor of two below the mean square vacuum noise.     

A simple approach to nonlinear oscillators

A very simple and effective approach to nonlinear oscillators is suggested. Anyone with basic knowledge of advanced calculus can apply the method to finding approximately the amplitude-frequency relationship of a nonlinear oscillator. Some examples are given to illustrate its extremely simple solution procedure and an acceptable accuracy of the obtained solutions.     

Discrete Series of Su(1, 1) and Gaussian Deformation

Starting from the holomorphic discrete series of SU(1, 1), we construct a hyperbolic analogue of a quantum mechanical harmonic oscillator with a Poincaré disc as nonlinear phase space. A Bargmann-type transform is established which interwines the real wave and complex wave representation. The probability distribution of the position observable in vacuum is calculated explicitly, it admits the Gaussian law of the ordinary harmonic oscillator as zero-curvature limit.     

Three superintegrable two-dimensional oscillators: Superintegrability,nonlinearity, and curvature

The superintegrability of three different two-dimensional oscillators is studied: (i) a nonlinear oscillator dependent on a parameter λ (two-dimensional version of the oscillator of Lakshmanan and Mathews), (ii) a nonlinear oscillator related to the Riccati equation, and (iii) the standard harmonic oscillator on constant curvature spaces. They can be considered as nonlinear deformations, or curvature-dependent versions, of the linear harmonic oscillator. The text was submitted by the authors in English.     

Suppression of the primary resonance vibrations of a forced nonlinear system using a dynamic vibration absorber

In a single degree-of-freedom weakly nonlinear oscillator subjected to periodic external excitation, a small-amplitude excitation may produce a relatively large-amplitude response under primary resonance conditions. Jump and hysteresis phenomena that result from saddle-node bifurcations may occur in the steady-state response of the forced nonlinear oscillator. A simple mass-spring-damper vibration absorber is thus employed to suppress the nonlinear vibrations of the forced nonlinear oscillator for the primary resonance conditions. The values of the spring stiffness and mass of the vibration absorber are significantly lower than their counterpart of the forced nonlinear oscillator. Vibrational energy of the forced nonlinear oscillator is transferred to the attached light mass through linked spring and damper. As a result, the nonlinear vibrations of the forced oscillator are greatly reduced and the vibrations of the absorber are significant. The method of multiple scales is used to obtain the averaged equations that determine the amplitude and phases of the first-order approximate solutions to primary resonance vibrations of the forced nonlinear oscillator. Illustrative examples are given to show the effectiveness of the dynamic vibration absorber for suppressing primary resonance vibrations. The effects of the linked spring and damper and the attached mass on the reduction of nonlinear vibrations are studied with the help of frequency response curves, the attenuation ratio of response amplitude and the desensitisation ratio of the critical amplitude of excitation.     

The sea--air oscillator model of decadal variations in subtropical cells and equatorial Pacific SST

In this paper a time delay equation for sea--air oscillator model is studied. The aim is to create an approximate solving method of nonlinear equation for sea--air oscillator model. Employing the method of variational iteration, it obtains the approximate solution of corresponding equation. This method is an approximate analytic method, which can be often used for analysing other behaviour of the sea surface temperature anomaly of the atmosphere--ocean oscillator model.     

3～5μm角度调谐LiNbO3晶体光参量振荡器的技术研究

用LiNbO₃作参量晶体、调QNd:YAG(1.064μm)激光器做泵源,通过求出相位匹配点对有效非线性系数进行数值计算,找出有效非线性系数的最大值,从而求出该点对应的相位角和方位角,确定出进行角度调谐LiNbO₃晶体的切割角在理论计算过程中,用计算机模拟,得出了OPO的角度调谐曲线、有效非线性系数曲线和参量增益曲线实验研究中实现了369μm单点参量光输出,实验结果与理论计算结果相吻合.     

Nonlinear spring model for frictional stick-slip motion

Frictional stick-slip dynamics is discussed using a model of one oscillator pulled by a nonlinear spring force. We focus our attention on the nonlinear spring parameter k₀. The dynamics of the model is carefully studied, both numerically and analytically. Our numerical investigation, which involves bifurcation diagrams, shows a rich spectrum of dynamical behavior including periodic, quasi-periodic and chaotic states. On the other hand, and for a good selection of parameters , the motion of the particle involves periodic stick-slip, erratic and intermittent motions, characterized by force fluctuations, and sliding. This study suggests that the transition between each of motion strongly depends on the nonlinear parameter k₀. The system also displays resonance at fractional frequencies of the oscillator.     

非线性振子的矩阵元及其经典近似

对于势能为V(x)=1/2 mω2x2+λx4的非线性谐振子,不能用微扰论对经典方程进行求解.这里利用海森伯对应原理,由量子力学的矩阵元得到了非线性振子的经典解,从而对于非线性振子的性质有了进一步的理解.     

三维各向同性q变形振子的双波描述

利用双波函数理论描述三维各向同性q变形振子力学量随时间的演化方程,结果显示粒子做非线性振动.同时,当r→0时,所有结论退化为普通三维各向同性谐振子的相关结果.