188Pb形变和形状共存的研究

用角动量投影壳模型研究了188Pb核素的形状共存. 实验数据经过计算结果的分析,指出188Pb的低能激发态存在着对应于不同内部粒子组态的球形基态、扁椭球和长椭球三种形状的共存;预言了质子h9/2两粒子-两空穴扁椭球带;指出长椭球带是两种多粒子-空穴激发组态的混杂,并导出了混合系数. 由这些系数,可以说明中子i13/2破对引起的顺排对长椭球带的影响是一个渐进过程;并指出了2+态的能量范围在804-880keV.     

碘与铯同位素高自旋带结构的区别

理论上指出由于在单粒子能级图上,扁椭球和长椭球的两侧均存在下降轨道,因此Z=52－56原子核会有低位的扁椭球转动带.最近对碘和铯同位素的高自旋带结构进行了仔细的实验研究,发现碘同位素中除有长椭球转动带外,确有质子h_11/2、g_7/2和d_5/2组态的扁椭球转动带.但是在铯同位素中,迄今都只发现长椭球转动带,而未发现扁椭球转动带.利用新调整过的Nilsson参数,进一步作了计算.结果表明,对于扁椭球形状,碘同位素的壳修正能及自洽对关联的绝对值均大于铯同位素的;而且碘同位素与铯同位素比较,带头扁椭球与长椭球能量差,也更有利于扁椭球形变.这一切结果均密切联系于单粒子能级图上存在一个扁椭球质子54能隙的事实.     

Rb晕带signature反转的机理

将角动量投影壳模型应用到84Rb核，对组态为πg9/2νg9/2的正宇称晕带和组态为π(p3/2,f5/2)νg9/2的负宇称晕带理论计算和实验结果进行了比较，特别是对正宇称晕带中的signature反转机理进行了探讨.角动量投影壳模型计算显示正宇称晕带中的signature反转是原子核随自旋增加形状发生变化的信号，其间原子核从低自旋的长椭球通过三轴形变变到高自旋的扁椭球.此外，还确定了此两带的原子核形状.     

^118形变和形状共存的研究

用角动量投影壳模型研究了＾１１８Ｐｂ核素的形状共存，实验数据经过计算结果的分析，指出＾１１８Ｐｂ的低能激发态存在着对应于不同内部粒子组态的环形基态、扁椭球和长椭球三种形状的共存；预言了质子ｈ９／２两粒子一两空穴扁椭球带；指出长 球带是两种多粒子－空穴激发组态的混杂，并导出了混合系数，由这些系数，可以说明中子ｉ１３／２破对引起的顺排对长椭球带的影响是一个渐进过程；并指出了２＾＋态的能量范围在８０４－     

186,188,^190Pb低位长椭球带的理论研究

将角动量投影壳模型应用到１８６ Ｐｂ ,１８８ Ｐｂ 和１９０ Ｐｂ 核, 对它们的低位长椭球带进行了理论计算并与实验结果进行了比较, 对这三个核从理论上预言了该带带头, 并把壳模型应用到１８６ Ｈｇ 核, 得到与实验较好地符合验证了这种理论预言的可靠性．     

均匀带电椭球的静电自能——“‘带电厚椭球壳空腔内的电场’一文的补充”续

计算一般形状的均匀带电椭球的静电自能,该椭球是由非导体构成的.方法是把该椭球分割成无限多个与其共轴的、等偏心率的薄椭球壳,通过考虑各个薄椭球壳的自能和它们之间的相互作用能,导出均匀带电椭球的静电自能公式.     

椭球壳及椭球体转动惯量的简易推导

本文利用微积分方法,给出计算球壳、球体转动惯量的一种简易办法,又利用正交轴定理,给出椭球壳、椭球体的转动惯量.     

186,188,190Pb低位长椭球带的理论研究

将角动量投影壳模型应用到¹⁸⁶Pb,¹⁸⁸Pb和¹⁹⁰Pb核,对它们的低位长椭球带进行了理论计算并与实验结果进行了比较,对这三个核从理论上预言了该带带头,并把壳模型应用到_{186Hg核,得到与实验较好地符合验证了这种理论预言的可靠性．}     

A≈80区奇–奇核80,82Rb的晕带能谱计算

在A≈80区奇-奇核旋称反转问题上已提出几种机制,但没有一种理论推断是结论性的.在本工作中将角动量投影壳模型应用到^80,82Rb核,对组态为πg_9/2⊙νg_9/2的正宇称晕带和组态为π(p_1/2,p_3/2,f_5/2)⊙νg_9/2 的负宇称晕带理论计算和实验结果进行了比较,特别是对正宇称晕带中的signature反转机制进行了探讨.角动量投影壳模型计算显示正宇称晕带中的signature反转是原子核随自旋增加形状发生变化的信号,其间原子核从低自旋的长椭球变到高自旋的扁椭球.此外,还确定了此两带的原子核形状     

具有各向异性的梯度颗粒复合材料的有效介电响应

本文研究了具有梯度壳层椭球颗粒复合体系的有效介电响应，在稀释条件下用准静态近似方法, 推导了颗粒壳层具有任意介电梯度形式的椭球颗粒复合体系的有效介电常数和部分共振条件的一般表达式。并以壳层的介电常数为主轴的幂函数形式为例，得出了通过调节壳层的介电梯度形式、颗粒的结构和形状,可以提高该体系的有效介电常数和实现部分共振的结论。     

Linear and nonlinear properties for a dilute suspension of coated ellipsoids

The effects of geometric structures of coated particles on the dielectric properties of composites are derived. For a dilute suspension of coated ellipsoids with dielectric core and metallic shell embedded in a linear dielectric host, we find that the optical absorption peak of maximum wavelength shifts due to the core-shell structure, and has a significant red shift from that of pure metallic particles, especially for thin metallic coating. Meanwhile, the shape of coated ellipsoid can tune the absorption peak in a wide frequency range by properly choosing the depolarization factor. When the composite is made of linear materials, we obtain the condition of partial resonance for coated ellipsoids, which is relative to the particle shape. Under such a condition, the property of the inner core can be extended to the outer shell. When the inner core is a weakly nonlinear material, the nonlinearity of the composite can be greatly enhanced at the linear partial resonance. To achieve the condition of partial resonance, a metallic shell may be suitable to reach the case if the frequency is far away from the plasmon frequency. It indicates that the nonlinearity can also be enhanced in terms of the geometric structure of materials as well as the properties of themselves.     

External electro-optic sampling utilizing a poled polymer asymmetric Fabry–Perot cavity as an electro-optical probe tip

External electro-optic sampling utilizing a poled polymer asymmetry Fabry–Perot cavity as electro-optic probe tip has been demonstrated. Electro-optical polymer spin coated on the high-reflectivity mirror (HRM) was corona poled. Thus, an asymmetric F–P cavity was formed based on the different reflectivity of the polymer and HRM and it converted the phase modulation that originates from electro-optic effect of the poled polymer to amplitude modulation, so only one laser beam is needed in this system. The principle of the sampling was analyzed by multiple reflection and index ellipsoid methods. A 1.2 GHz microwave signal propagating on coplanar waveguide transmission line was sampled, and the voltage sensitivity about was obtained.     

椭球内反射的几何光学性质

本文讨论椭球的内反射性质。由椭球的一个焦点F_1发射出的光波将在反射过程中与椭球的长轴充分逼近,使焦点F_1所具有的辐射以极狭窄的光束从椭球长轴的一端发射出来。     

Sampling high-frequency signals using a poled-polymer asymmetric Fabry–Perot microcavity as an electro-optic probe tip

The sampling of high-frequency signals using poled electro-optic polymer films as electro-optic probe tips has been demonstrated for the first time. The electro-optic polymer, which was spin coated onto a high-reflectivity glass substrate, was corona poled; thus an asymmetric Fabry–Perot microcavity was formed, based on the difference between the polymer reflectivity and that of high-reflectivity glass. This converts phase modulation to amplitude modulation, so only one laser beam is needed in this system. The sampling technique has been analyzed by multiple reflection and index ellipsoid methods. A 1.2 GHz microwave signal propagating on a coplanar waveguide transmission line has been sampled, and a voltage sensitivity of about 0.5 mV/ was obtained. Received: 16 August 2001 / Revised version: 20 November 2001 / Published online: 14 March 2002     

旋转对称椭球颗粒沿轴脉冲光声波波形的几何计算

针对旋转对称椭球颗粒脉冲光声波的产生,推导沿其对称轴方向的波形的解析表达式.结果表明,无论是长椭球还是扁椭球颗粒,沿轴波形相对于球形颗粒所产生的N形波都有一定的形变,并且在近场条件下显示出能反映椭球颗粒形状与大小的明显特征.因此通过对脉冲光声波的测量和分析,能对旋转对称椭球颗粒进行形貌判定.     

太阳模拟器中椭球面聚光镜参数的确定

椭球面聚光镜是太阳模拟器设备的重要组成部分,其能量收集的效率决定着太阳模拟系统的能量传递效率,而太阳模拟器光学系统中的椭球面聚光镜参数一直没有理论上的设计依据,结合氙灯的发光特性并通过对MATLAB 中建立的椭球面聚光镜聚光过程数值分析模型给出了椭球面聚光镜包括第一焦距、最大成像放大倍率、包容角范围及前后开口直径的确定依据,并通过在Lighttools 中建立的4种仿真模型验证了理论分析的正确性。第一焦距由光源光中心高确定,最大成像放大倍率由光学积分器相对孔径及椭球镜包容角范围共同确定,椭球镜包容角范围不小于30～120,前开直径口由椭球镜的最大孔径角确定,后开口直径由最小孔径角和光源的径向调节量共同确定。该结论给椭球面聚光镜的设计提供了理论支撑,有利于设计完成高能量收集效率的椭球面聚光镜。     

量子棒中弱耦合磁极化子的性质

给出了具有椭球边界量子棒经过坐标变换成球形边界的哈密顿量.采用线性组合算符和幺正变换的方法研究了在抛物限制势下量子棒中弱耦合磁极化子的振动频率和基态结合能随横向和纵向有效受限长度、电子-声子耦合强度、椭球的纵横比以及磁场的回旋频率的变化关系.数值计算结果表明:振动频率和基态结合能随回旋频率的增加而增大,随横向和纵向有效受限长度的减少而迅速增大.基态结合能随耦合强度的增加而增大.振动频率随纵横比的增加而减少.当e′1时,基态结合能随纵横比的增加而增加.e′1时,随着纵横比的减少,基态结合能增大.当e′=1时,基态结合能取稳定的极小值.     

用长旋转椭球坐标表示有限长带电直线的空间电势

利用长旋转椭球坐标直接证明有限长带电直线电荷在空间中产生的等势面是共焦长旋转椭球面.     

基于偏振度椭球的PMD补偿的前馈信息提取方法

通过建立一个简单的模型推导了偏振模色散与偏振度椭球的关系式,可以直接从偏振度椭球的长轴和短轴得到偏振模色散的大小.将得到的一阶偏振模色散大小与理论上从琼斯矩阵中计算的结果进行比较,发现在差分群时延小于20 ps时,模拟结果与理论计算值较好相符.分析了如何从偏振度椭球的长轴判断偏振模色散矢量的方向.因此,从得到的偏振模色散矢量的大小和方向信息可以为一阶偏振模色散补偿提供前馈信息.     

Effective permittivity of materials containing graded ellipsoidal inclusions

We prove a generic theorem stating the equivalence between a graded dielectric ellipsoid (with gradation along a family of internal confocal ellipsoids) and an anisotropic homogeneous ellipsoid. We then describe a procedure to obtain the three principal permittivities of the effective ellipsoid for any given dielectric gradation profile. Finally, we apply a multiscale approach to homogenize dispersions of ellipsoidal graded particles.