Veiled assonance between geodesics on ellipsoid and billiard in its focal ellipse

We introduce new special ellipsoidal confocal coordinates in ⁿ (n ≥ 3) and apply them to the geodesic problem on a triaxial ellipsoid in ³ as well as the billiard problem in its focal ellipse.

Using such appropriate coordinates we show that these different dynamical systems have the same common analytic first integral. This fact is not evident because there exists a geometrical spatial gap between the geodesic and billiard flows under consideration, and this separating gap just “veils” the resemblance of the two systems.

In short, a geodesic on the ellipsoid and a billiard trajectory inside its focal ellipse are in a “veiled assonance”—under the same initial data they will be tangent to the same confocal hyperboloid. But this assonance is rather incomplete: the dynamical systems in question differ by their intrinsic action angle-variables, thereby the different dynamics arise on the same phase space (i.e. the same phase curves in the same phase space bear quite different rotation numbers).

Some results of this work have been published before in Russian (Tabanov, 1993) and presented to the International Geometrical Colloquium (Moscow, May 10–14, 1993) and the International Symposium on Classical and Quantum Billiards (Ascona, Switzerland, July 25–30, 1994).     

关于二级相变中热力学物理量突变的分析与自旋链模拟

理论上对二级相变中热容、体膨胀系数、等温压缩系数三个热力学物理量的变化进行了分析,进而使用自旋链模型的基态能量和von Neumann熵随模型参数变化的突变行为对二级相变中这三个物理量的变化所引起的系统序变进行模拟,得到二级相变中热容、体膨胀系数、等温压缩系数的变化是由于系统内部微观上发生关联序变的结果。     

光纤转动引起光纤光谱效率变化与改正

光纤的焦比退化(focal ratio degradation)是光纤光谱效率损失的重要原因之一。光纤在安装和每次定位过程中,光纤的转动和扭曲会引起光纤焦比退化发生变化,从而改变光纤的传输效率,每根光纤由此造成的传输效率变化都会存在差异。而这样的效率差异无法用通常天文观测中使用的晨昏天光平场或者圆顶平场改正。减天光是光纤光谱数据处理中决定光谱质量的重要环节。减天光处理要求对不同光纤的传输效率进行归一化处理,以扣除不同光纤之间传输效率差异导致的天光背景测量的误差。对于与天光背景亮度接近乃至更暗的观测目标而言,光纤传输效率的改正精度决定了减天光的精度。测试了LAMOST望远镜光纤转动对光纤传输效率的影响情况。在检查了光谱中天光发射线强度与光纤传输效率的关系,和验证了光纤效率变化与波长变化相对独立的基础上,提出并且证实了通过测量各光纤中天光发射线强度作为光纤相对效率变化量来改正光纤效率差异的方法是可行的。这种方法已经被应用到LAMOST二维光谱处理当中。     

Microwave propagation parameters in magnetic fluids

Complex dielectric permittivity and complex magnetic permeability measurements of two magnetic fluids (as microwave propagation media), in the approximate range 0.2-5GHz were performed. The two samples consisted of magnetite nanoparticles, dispersed in kerosene and in water, respectively. Based on the dielectric and magnetic measurements, the frequency (f ) dependence of the attenuation parameter, , the phase constant, , the propagation constant, , the intrinsic impedance, Z_m, the refractive index, n , the reflection coefficient, R , the wavelength, and the skin depth, , of the investigated samples were determined.     

大气湍流中高斯空心涡旋光束的焦面光强分布

运用广义惠更斯-菲涅耳原理和相位结构函数的平方近似,研究了聚焦高斯空心涡旋光束通过湍流大气传输后在焦平面内的光强分布的理论模型,同时分析了不同大气折射率结构常数C2n、聚焦距离、光束拓扑荷和湍流外尺度对焦面光强分布特性的影响.结果表明:随着聚焦距离的增加,焦面光强分布由中央凹陷状向高斯分布转变.弱湍流对焦面光强分布的影响可以忽略;高拓扑荷光束在湍流大气中传输时光波奇异性的保持较低拓扑荷奇异光束要强;随着湍流外尺度增加,焦面光强分布的中央凹陷状变浅,光强分布变平滑.     

Three-dimensional contrast-enhanced ultrasound of the liver: Experience of 92 cases

Three-dimensional contrast-enhanced ultrasound (3D-CEUS) is a combination of three-dimensional ultrasound (3DUS) and contrast-enhanced ultrasound (CEUS). To evaluate the feasibility of 3D-CEUS in liver imaging, investigate possible influencing factors to its image quality, and evaluate the influence of 3D-CEUS to clinical outcome, low acoustic power (mechanical index, 0.08-0.13) 3D-CEUS was carried out in 102 focal liver lesions in 92 patients by using the LOGIQ 9 ultrasound scanner and a volume transducer (frequency range, 2-5 MHz; focusing ability, 2-25 cm in depth; azimuth aperture 5.9 cm). The lesions were classified into two groups: group 1 (n = 51) for characterization and group 2 (n = 51) for local treatment response evaluation. The factors that influenced the image quality of 3D-CEUS were analyzed. The image quality and usefulness of 3D-CEUS between the two groups were compared by using the χ²-test. The results showed that the lesion diameter, location, and scanning route had no significant influence on the image quality in both groups, whereas interfering factors damaged the image quality in group 1. In group 1, during arterial phase, high image quality was more frequently found in hyperenhanced and hypo- or non-enhanced lesions compared with isoenhanced lesions. In group 2, interfering factor and local treatment response had no obvious influence on the image quality. The visualization rate of high image quality was 94.1% (48/51) in group 2 vs. 72.6% (37/51) in group 1 (P = 0.012). The investigators found that 3D-CEUS improved confidence but made no change in diagnosis in 19 (37.3%) of 51 lesions in group 1, whereas 41 (80.4%) of 51 lesions in group 2 (P = 0.000). 3D-CEUS tends to obtain better image quality and lead to higher diagnostic confidence in the lesions for local treatment response evaluation, and perhaps is more useful in this aspect in future clinical settings.     

物理量的量纲和量制

通过对物理量的量制和单位制的介绍,全面地阐述了物理量的概念,并对文献中常出现的一些有关物理量方面的问题进行了分析和讨论.     

带两类服务的一般休假M/GI/1型系统的随机分解

借助于建立在平稳点过程和Palm分布理论基础上的强度保守原理,讨论了一个具有一般休假策略的M/GI/1型排队系统.该模型允许闲期中顾客非泊松到达且顾客的服务可以被休假中断。我们得到了稳态下工作量和顾客离去前所见队长的随机分解.     

Focal shift of hollow Gaussian beams through a thin lens

In this paper, the focal shift of hollow Gaussian beams (HGBs) passing through a thin lens is investigated in detail. An analytic expression of the location of the axial maximum intensity for the HGBs is derived. It is found that, both the relative focal shift and the relative location of the axial maximal intensity of the HGBs is strongly affected by the ratio α (where α=s/f, here s is the axial distance from the input plane to the lens plane and f is the focus length of the lens), and it is also greatly affected by the changes of both the effective Fresnel number N_w and the order n of HGBs.