BLOWUP OF SOLUTIONS TO THE CAUCHY PROBLEM FOR NONLINEARWAVE EQUATIONS

gi. IntroductionThis paper deals with solutionS of certain nonlinear wave equationS Of the formcorresponding to Antial conditionSwuersis the wave OPerstor.we are interested in showing the ~ up" Of solutions to (1.1)--(1.2). For that, wereIf ac ~ 1)(n ~ 1) > 2, global solutions of ~ equation subject to very general perturbationsof order p exist Provided the initial data are swhciently small (see I6] and references therein).We are also interested in esthaattw the take when "blow up" occurs. …     

On the Determination of Free Evolution in the Lax--Phillips Scattering Scheme for Second-Order Operator-Differential Equations

The paper presents some necessary and sufficient conditions on abstract positive self-adjoint operators L under which the operator-differential equation determines a free evolution in the Lax--Phillips scattering scheme.     

Laser Stabilisation for the Measurement of Thermal Noise

In order to measure the thermal noise of a mirror suspended in a vacuum it is necessary for the length measurement error due to intensity and frequency noise of the probe laser to be reduced below the thermal noise level. Here we report on an experiment to reduce the frequency and intensity noise of a 40mW Nd:YAG laser for this purpose. The frequency is stabilised using the standard reflection locking technique. To stabilise the laser intensity a technique which uses the properties of an in loop light field has been developed. This technique is capable of suppressing the intensity noise below the shot noise limit without reducing the useful laser power. A servo based on this technique has been designed and tested. The experimental results indicate that the laser noise can be reduced to a level which will allow a displacement sensitivity of 1.5 × 10^-19m/ Hz for the detection of thermal noise in a frequency band of 10 to 500Hz.     

单个心肌细胞内钙波的微观动力学研究

利用基于近场光学原理构建的全内反射荧光显微镜研究了大鼠单个心肌细胞中的钙信号. 利用这种显微镜的快速成像和高信噪比的特点，观察到单个细胞中复杂的二维钙波斑图. 分析了单个钙信号释放事件在钙波形成、运动过程中的作用. 建立在fire-diffuse-fire模型基础上的模拟显示，由基本钙释放事件组成的钙波可以在心肌细胞中稳定存在. 此研究对进一步认识活体可激发系统的微观动力学行为有指导意义. 关键词： 近场光学 全内反射荧光显微镜 心肌细胞 钙波     

圆锥透镜对偏轴球面波光束的衍射模式

球面波入射圆锥透镜产生的出射光束中心光斑直径较小且焦深长，适合通讯领域长距离测量和准直。针对实际操作中球面波光束入射时很可能与圆锥透镜的中心轴线发生偏移或倾斜，使衍射光场发生变化，着重研究圆锥透镜对偏轴球面波光束的衍射模式，并通过衍射理论和稳相法分析，研究其径向衍射光场的分布特性。使用半径为15mm，底角为1°的圆锥透镜进行计算机仿真和实验，最后将实验结果与理论分析和仿真结果相比较，证明球面波的曲率半径和出射光束的传输距离越小，偏轴对衍射模式的影响越小。该研究结果表明：在激光通讯等长距离通信中，使用曲率半径小的球面波光束代替平面波入射圆锥透镜，不仅可以扩展焦深，还可以降低偏轴对测量的影响。     

用于短波长RT不稳定性的莫尔条纹成像技术

瑞利-泰勒(RT)不稳定性对内爆有十分不利的影响,在很多情况下,10μm左右的波长的小尺度扰动增长是最快的,这要求诊断设备的空间分辨好于几μm,但是现有的设备难以做到这一点。为了测量短波长的RT不稳定性,利用莫尔条纹技术的差拍放大作用,发展了莫尔条纹技术,并在“星光Ⅱ”装置上进行了莫尔干涉法的实验。采用两个周期相近10μm和12μm的光栅成像,获得了周期为60μm的清晰的莫尔条纹图像,图像放大了5倍。实验结果表明,莫尔条纹技术是可行的。     

物光的偏振性对全息记录质量的影响

通过对菲涅耳三维漫反射全息记录光路中物光与参考光偏振状态的实验检测，发现线偏振的激光被不同表面材料的物体散射和漫反射后变成“部分偏振光”，几乎所有目标物都有显著的消偏振现象，全息干板上实际记录的是线偏振的参考光与“部分偏振”的物光形成的相干度较低的干涉条纹。物光偏振度的大幅度下降影响干涉条纹的衬比度，并增加全息图的噪声。给出实验方案和检测光路，采用在参考光路中插入1/4波片的方法，可充分利用非偏振物光各个振动方向的光能，提高条纹的衬比度。     

Two-level Atom in an Electromagnetic Wave of Circle Polarization

We study a two-level atom interacting with an electromagnetic wave of circle polarization, and work out the wave functions, the energy values and momentum values of the atom. PACS: 32.80.-t, 03.65.Ge