一类反应扩散方程的驻定解与显式行波解

 对广义的Fisher方程作了进一步的研究,当α为偶数时,具体地化分了参数q的区间,在各参数区间对其保守系统作了详细的讨论,给出了8种相图,并求出了2种驻定解的解析式;最后求出了边值条件更加广泛的显式行波解.     

SURFACE SPIN WAVES FORSEMI—INFINITE MAGNETIC SEMICONDUCTOR WITH A MAGNETIC IMPURITY LAYER IN THE NARROW—BAND LTMIT

The s-d (or s-f) Heisenberg interaction modal is used to investigate the localized surface spin waves in semi-infinite magnetic semiconductor with a single impurity layer in the narrow-band limit. The dispersion relations of localized surface spin wave (LSSW) excitations are obtained by use of Green‘s function theory and the transfer matrix method, The characteristic results in some particular cases are discussed.     

海洋平台对不规则波的随机响应及在DASOS-J上的实现

本文给出计算海洋平台随机波浪响应的一个实用算法。平台被视作空间杆系结 构，海面波可沿海面任意方向传播。考虑了附连海水质量对平台动力响应的影响，并 以迭代手段修正线性化的动水阻尼。用本文的方法可以结合多级子结构手段对结构进 行凝聚以提高计算效率。该法的步骤比较简单，而且不因存在非比例阻尼矩阵或存在 靠得很近的结构自振频率而给响应量的功率谱计算造成误差。     

信号奇异性仿真及其在反射波同相轴检测中的应用

用dbN系列小波对两类具有第二类奇异点的信号进行了数值仿真,通过对两例的多尺度分解,叙述了dbN系列小波正则性与检测效果间的关系,并由此选取了db5为小波基函数对南水北调某地地震反射波资料的同相轴进行了检测,结果表明分析是合理的,方法是可靠的.     

基于Landau-Lifshitz表述的双极化态柱面引力波的能量问题

根据引力场能量动量的Landau-Lifshitz表述,求出了笛卡尔坐标系中的双极化态柱面引力波能量动量密度及角动量的具体形式;结果表明:采用笛卡尔坐标系可以合理地描述双极化态柱面引力波。     

利用PVDF检测金属表面缺陷的实验研究

提出一种利用聚偏二氟乙烯(PVDF)传感器检测激光超声的实验方法.将PVDF薄膜附着在微型柱状刀劈上,钳紧在特制的金属固定块上,引出两个电极,从而实现信号的声电转换.利用Nd:YAG脉冲激光器在金属铝板上激发声表面波,PVDF传感器固定在远场区域接收超声信号,并采用扫描激光线源技术,在线检测金属铝表面的微小缺陷.当激光源扫描至缺陷近场区域时,观察信号的幅度和频率特征,从而可以检测微小缺陷的位置,提取缺陷的有关信息.结果表明信号灵敏度高,适合观察声表面波,并可用于表面缺陷的检测.     

Nonrelativistic phase in γ-ray burst afterglows

The discovery of multiband afterglows definitely shows that most γ-ray bursts are of cosmological origin. γ-ray bursts are found to be one of the most violent explosive phenomena in the Universe, in which astonishing ultra-relativistic motions are involved. In this article, the multiband observational characteristics of γ-ray bursts and their afterglows are briefly reviewed. The standard model of γ-ray bursts, i.e. the fireball model, is described. Emphasis is then put on the importance of the nonrelativistic phase of afterglows. The concept of deep Newtonian phase is elaborated. A generic dynamical model applicable in both the relativistic and nonrelativistic phases is introduced. Based on these elaborations, the overall afterglow behaviors, from the very early stages to the very late stages, can be conveniently calculated.     

A maximum entropy distribution for wave heights of non-linear sea waves

Based on the maximum entropy principle, a probability density function (PDF) for the zero-crossing wave height (H) of random waves is derived as the simple form fn(H)=αHγe－βHn (n is a selectable positive integer) through solving a variational problem subject to some quite general constraints. This PDF maximizes the information entropy of H, and its parameters α, γ and β are expressed explicitly in terms of the distribution moments m, m=1,2,…,n, so it is well competent for describing the distribution of H of nonlinear sea waves with large uncertainty, and its parameters can be simply determined from available data. Comparisons between the PDF with n=3 and n=4 and the observed distributions of H from wave records measured in the East China Sea and in a wind-wave tunnel show fairly satisfying agreements.     

负Goos-H？nchen位移的理论与实验研究

1947年Goos和H？nchen发现,当电磁波束在玻璃/空气界面全反射时,在返回玻璃内部时有一项发生在入射面内的纵向位移;我们称之为正位移。实际上,稳态相位法的计算表明,位移可以为正、为零,甚至为负。由于界面上的表面波可以是前向型的和后向型的,携带的功率向着不同方向;故当激发起后向型表面波时就可获得入射波束的负位移。在多层结构中,当入射波束波矢的切向分量与表面波传播常数一致时,会发生类谐振现象并导致位移增大。〈br〉 在一般情况下,当光束入射到金属表面,TM极化时GHS为负,并且绝对值比TE极化时大得多。但我们在微波的实验研究表明,在使用金属时可以在TE极化时发生负位移。实验时在全反射界面处为纳米级金属膜,是厚度30nm和60nm的铝膜,它蒸镀在厚18μm聚乙烯膜上。实验还发现,当改变入射角θ1并使之达到约qθ1c（θ1c为全反射临界角,q＆gt;1）出现类谐振现象,GHS的绝对值可达（5~7）cm。目前尚缺少对这些结果的理论解释。