沿抛物线分布的各向异性曲线裂纹问题

文章利用Ｓｔｒｏｈ法及映射法研究了沿抛物线Ω分布的各向异性曲线裂纹问题，获得了有关的应力及位移场，这种解不仅适用于平面问题，而且也适用于反平面变形或两者偶合的情形，对于单位边裂纹和双曲边裂纹问题，文章还获得了它们的应力和位移场的封闭解，并求得了相应斥强主因子及裂纹面上的张开位移。     

带裂纹层合板能量释放率分析

为了进一步了解裂纹尖端应力场的特性,本文对复合材料层合板的界面裂纹作了分析.文中强调了能量释放率分量存在的条件,并给出能量释放率分量和应力强度因子间的关系式.结合经典板理论的分析结果,根据外荷作用及某些几何参数和材料多数,导出了一般复合材料层合板的应力强度因子的封闭形式解.为了得到在一般荷载条件下能量释放率的分量,必须分别确定模型混合参数Ω,文中讨论了确定参数Ω的方法,最后,应用本文方法于几种不同种类的复合材料层合板,证明其结果可应用于工程实践.     

Conformally Invariant Quantization at Order Three

Let (M, g) be a pseudo-Riemannian manifold and the space of densities of degree on M. Denote the space of differential operators from to of order k and S _k with = – the corresponding space of symbols. We construct (the unique) conformally invariant quantization map . This result generalizes that of Duval and Ovsienko.     

Spectral Domain Analysis of Coaxial Cavities

Coaxial cavities are used in high power gyrotrons as the beam-wave interaction structure. Much research has been devoted to their mode selective properties. A coaxial cavity lacks a sharp boundary at its open end, so it has some physical features that can only be observed using a spectral model, such as frequency-dependent field profiles and mode overlapping effects. These properties are important since cold tests are usually conducted in the frequency domain. This study applies the incident/reflected wave boundary condition to the wave equation of a weakly irregular coaxial waveguide. The resistivity of the wall is considered in the analysis. Calculations reveal that the fixed-position spectrum yields an uncertain resonant frequency and quality factor. Although the maximum-field spectrum can uniquely determine the properties of the coaxial cavity, the resonant frequency obtained using the maximum-field spectral model is inconsistent with that obtained using the temporal model. The field-energy spectrum explains the low Q nature of the coaxial cavity. Moreover, resonant frequencies evaluated using the field-energy spectrum agree precisely with those evaluated using the temporal model.     

脉冲压缩系统中气体开关对功率增益的影响

 对高功率微波脉冲压缩系统中气体开关对功率增益的一些重要影响进行了较详尽的理论分析,包括气体开关在导通过程中吸收微波能量,等离子体瞬间功率损耗使得谐振腔固有品质因数的下降,开关导通后等离子体并非理想良导体等,并将这些影响用修正系数来加以体现,对原有的用微波等效电路理论推导出的功率增益公式加以修正,使得理论公式的精确度由原来的60%提高至约85%。     

环形光束的聚焦性质研究

从理想的环形光束出发,理论上分析了环形聚焦光束在焦点附近的光强分布情况,以及光束内外径之比对聚焦性质的影响.然后利用数值模拟的手段,研究了带软化因子的环形光束的聚焦性质,在整体上给出了环形光束的聚焦性质.     

光纤陀螺静态温度综合误差建模及补偿

针对光纤陀螺温度稳定性低、受环境温度影响参数变化,导致使用精度不高的问题,提出了一种光纤陀螺静态温度综合误差建模补偿方法。综合考虑温度、光纤陀螺标度因数非线性以及零偏漂移的影响,建立了以时间、温度和输入角速率为参量的光纤陀螺静态温度混合模型;采用分类拟合方法确定模型阶次,辨识模型参数;基于温度速率实验,提出迭代补偿算法。实验结果表明,经过综合误差补偿后的光纤陀螺消除了温度和标度因数非线性对其性能的影响,使它在全温度和全速率下的测量精度得到了极大提高,从而证明了该方法的有效性。     

降雨对无线激光通信的影响

通过激光信号在雨介质中传输的实验发现,在大雨环境下,激光信号透射率要比在小雨或微雨的情况下大。这说明光信号在小雨时衰减较大,在大雨时衰减较小。这一现象与人们通常所认为的有所不同。针对降雨对激光信号的影响,根据Mie散射理论和Weibull雨滴尺寸分布模型,分析了不同尺寸的粒子对光的散射作用以及对衰减效率因子的影响,推导出单球粒子对光波的衰减公式,得到了衰减与降雨率的确定关系。通过数值计算发现,与小粒子相比大粒子的前向散射光强更大且更加集中;激光信号在雨介质中传输时,衰减系数在小雨时较大,中雨、大雨时较小,暴雨时不断增大。这一结果与实际情况较吻合,为激光在通信系统中的应用提供了一定的理论依据。     

LINEAR AND NONLINEAR SEMICLASSICAL THEORY OF WHISPERING-GALLERY-MODE MICROSPHERE LASER

A complete whispering-gallery-mode microsphere laser theory is developed, which combines usual laser semiclassical theory with Lorenz-Mie theory. The linear and nonlinear problems of the microsphere lasing are dealt with in the universal mode picture. The threshold condition, average amplitude of the steady state and frequency effect are obtained. A comparison between the theory and experiments is also made.     

从银电极上氢析出的温度效应得到的反应动力学启示

利用循环伏安法研究了多晶银电极在0.1 mol/L HClO₄溶液中氢析出反应的温度效应. 发现当从析氢起始电位负向扫描至零电荷电位(-0.4 V)时,氢析出反应的表观活化能(E_a,app)和指前因子(A)均随着电势的负移而增大(对应的E_a,app从24 kJ/mol增大至32 kJ/mol).继续负向扫描至零电荷电位以后,E_a,app随电势的负移而减小但A不随电势变化. 推测E_a,app和A在零