Two-photon-excited photoluminescence and heating of gold nanorods through absorption of supercontinuum light

Most of lasers used for imaging and heating gold nanorods are single-wavelength lasers and their efficiency to interact with different gold nanorods is limited. In this study, we demonstrated that supercontinuum light could be a fast, effective and energy efficient excitation source for heating of gold nanorods. The photothermal effect and the heating speed of gold nanorods illuminated by a supercontinuum light and femtosecond pulses through two-photon excitation are experimentally studied through using transmission electron microscopy images and photoluminescence images of gold nanorods. It is found that the supercontinuum light improves the heating speed by 39 %, and melts 30 % more of gold nanorods compared with the femtosecond pulse excitation approach. The heating speed of gold nanorods by supercontinuum light depends not only on its polarization states, but also on the pulse width and numerical aperture of its focused beam. It has been found that the supercontinuum is more efficient in heating of gold nanorods, making it potentially valuable for clinical applications.     

Ferroelectricity of polycrystalline GdMnO3 and multifold magnetoelectric responses

The multiferroic behaviors of polycrystalline GdMnO₃ are investigated by focusing on the ferroelectric response to the spin ordering sequence and external magnetic field. The polarization current shows sensitive response to both the Mn cycloidal spin order and Gd antiferromagnetic (AFM) order. The complicated magnetoelectric behaviors suggest that the Mn cycloidal spin order can be modulated by the Gd AFM order at low temperature via the Gd–Mn spin interaction. Due to the possible disorder and defects in polycrystalline nature, polycrystalline GdMnO₃ may accommodate the cycloidal spin order in addition to the A-type AFM order at Mn sites, as illustrated by simulation based on the two-orbit double exchange model and measured hysteresis loops of polarization against magnetic field, indicating the switching of the ferroelectric domains coupled with the magnetic domains in response to magnetic field.     

Study of local environment of Cu atoms in Fe73.5Cu1Nb3Si13.5B9 alloy with different annealing temperature

The local environment of Cu atoms in Fe73.5Cu1Nb3Si13.5B9 alloy was investigated by extended X-ray absorption fine structure(EXAFS).Cu clusters began to order when the annealing temperature was around 733 K from the results of the Fourier transform curves.The fitting results showed that the first shell of the near fcc(face-centered cubic)Cu clusters only contained Cu atoms.The coordination number increased with the annealing temperature.Subsequently,the occupancy rate increased from 33.3%(annealed at 733 K)to 100% (annealed at 853 K).This local structural change of Cu atoms could probably affect the distribution of the bcc(body-centered cubic)α-Fe in Fe73.5Cu1Nb3Si13.5B9 alloy.     

周期脉冲作用下Logistic映射的复杂动力学行为及其分岔分析

研究了两种周期脉冲作用下Logistic映射的复杂动力学行为. 随着参数的变化, 该系统产生平衡解、周期解、混沌等现象, 且该系统可经级联倍周期分岔到达混沌. 通过构造Poincaré 映射, 对周期脉冲作用下Logistic映射进行了分岔分析. 最后基于Floquet理论揭示了该系统周期解的分岔机理. 关键词： Logistic映射 脉冲 周期解 分岔机理     

混合广义Jacobi和Chebyshev谱配置法求解时间分数阶对流扩散方程

研究时间Caputo分数阶对流扩散方程的高效高阶数值方法.对于给定的时间分数阶偏微分方程,在时间和空间方向分别采用基于移位广义Jacobi函数为基底和移位Chebyshev多项式运算矩阵的谱配置法进行数值求解.这样得到的数值解可以很好地逼近一类在时间方向非光滑的方程解.最后利用一些数值例子来说明该数值方法的有效性和准确性.     

一类浸入在半黎曼卷积空间的完备超曲面

We deal with complete hypersurfaces immersed in a semi-Riemannian warped product of the type eI×f M~n,where M~n is a connected n-dimensional oriented Riemannian manifold.When the fiber M~n is complete with sectional curvature-k≤K_M for some positive constant k,under appropriate restrictions on the norm of the gradient of the height function h,we proceed with our technique in order to guarantee that complete hypersurface immersed in a semi-Riemannian warped product is a slice.Our approach is based on the well known generalized maximum principle and another suitable maximum principle at the infinity due to Yau.     

加权流形上加权p-Laplace特征值问题的第一特征值下界估计

本文研究了加权流形上加权p-Laplacian特征值问题的第一特征值下界估计的问题.利用余面积公式、Cavalieri原理以及Federer-Fleming定理,获得了由Cheeger常数或等周常数确定的第一特征值的下界估计.     

三次啁啾光纤光栅的设计及其应用

针对直接调制的半导体激光器产生的非线性啁啾,设计了一种新型的三次啁啾光纤光栅,与线性啁啾光纤光栅相比,它能更为彻底地补偿此类非线性啁啾.     

双目标突发事件应急救援前摄性调度优化

本文以救援时间最短化与计划鲁棒性最大化为目标,研究突发事件应急救援前摄性调度优化问题。作者首先对所研究问题进行界定,其中计划鲁棒性定义为各活动开始时间可调整时差的总和,任务是在应急预算和救援期限的约束下,确定活动执行模式与开始时间以实现上述两个目标。随后,构建问题的0-1规划优化模型,鉴于其强NP-hard属性,设计禁忌搜索启发式算法。最后用一个算例对研究进行说明,得到如下结论:救援时间随应急预算的增加而缩短,随救援期限的放宽而延长;计划鲁棒性随应急预算的增加或救援期限的放宽而提高;当权重分配系数增大时,应急救援时间先保持不变而后缩短,计划鲁棒性则呈减小趋势。本文研究可为突发事件应急救援的组织与协调提供决策支持。     

Regular maps of graphs of order 4<Emphasis Type="Italic">p</Emphasis>

A 2-cell embedding f : X → S of a graph X into a closed orientable surface S can be described combinatorially by a pair M = (X;ρ ) called a map, where ρ is a product of disjoint cycle permutations each of which is the permutation of the arc set of X initiated at the same vertex following the orientation of S . It is well known that the automorphism group of M acts semi-regularly on the arc set of X and if the action is regular, then the map M and the embedding f are called regular. Let p and q be primes. Du et al. [J. Algebraic Combin., 19, 123-141 (2004)] classified the regular maps of graphs of order pq . In this paper all pairwise non-isomorphic regular maps of graphs of order 4 p are constructed explicitly and the genera of such regular maps are computed. As a result, there are twelve sporadic and six infinite families of regular maps of graphs of order 4 p ; two of the infinite families are regular maps with the complete bipartite graphs K2p,2p as underlying graphs and the other four infinite families are regular balanced Cayley maps on the groups Z4p , Z22 × Zp and D4p .