关于Pn3的优美性

设G(V,E)是一个简单图,对自然数k,当V(G^k)=V(G,E(G^k)=E(G)∪{uv|d(u,v)=k},则称图G^k为k-次方图,本文证明了图P_n³的优美性。     

New Jacobian Elliptic Function Solutions of Modified KdV Equation: Ⅲ

More recently, sixteen families of Jacobian elliptic function solutions of mKdV equation have been foundby using our extended Jacobian elliptic function expansion method. In this paper, we continue to improve our methodby using another eight pairs of the closed Jacobian elliptic functions. The mKdV equation is chosen to illustrate theimproved method such that another eight families of new Jacobian elliptic function solutions are obtained again. Thenew method can be more powerful to be applied to other nonlinear differential equations.     

一类9n2次组合混合水平正交表的构造

本文利用正交表和投影矩阵的正交分解之间的关系,给出了一类9n2次组合混合水平正交表的构造方法,作为这种方法的应用,我们构造了一些新的具有较大非素数幂水平的144次混合水平正交表,并且这些正交表具有较高的饱和率.     

Recurrence propagation equation of Hermite-Gaussian beams through a paraxial optical ABCD system with hard-edge aperture

Based on the generalized Huygens-Fresnel diffraction integral, a recurrence propagation equation of Hermite-Gaussian (H-G) beams through a paraxial optical ABCD system with hard-edge aperture is derived, which permits us to obtain the analytical propagation expression for H-G beams of any order. The advantages of our analytical results are analyzed, and the application is illustrated with numerical examples.     

三量子位Heisenberg XX 链中杂质对纠缠的影响

研究了有杂质时三量子位Heisenberg-XX链中正常格点之间的热纠缠情况，给出了Concurrence的解析表达式.进一步的讨论发现，杂质对正常格点的热纠缠有着重要的影响，甚至能够改变纠缠在反铁磁区的特性.理论表明，可以通过调节温度和杂质参数来控制纠缠. 关键词： Heisenberg -XX链 热纠缠 杂质格点     

基于新型长周期光纤光栅的掺铒光纤放大器

报道了基于高频CO₂激光脉冲写入的新型长周期光纤光栅的低噪音掺铒光纤放大器,这种新型长周期光纤光栅是用大约几千Hz的高频CO₂激光脉冲对光纤玻璃热冲击作用而形成的.在铒纤中插入一个长周期光纤光栅,会明显减少掺铒光纤放大器的放大自发辐射(ASE)噪音.报道了两种低噪音掺铒光纤放大器,作为前置放大器和线路放大器,它们的ASE噪音指数分别从4.0 dB减少到3.5 dB和从4.8 dB减少到4.3 dB,并且在作为线放时,其小信号增益从30 dB提高到37 dB,降噪及提高增益效应十分显著.     

Release Behaviour of Shock Loaded LY12 Aluminium Alloy

By making use of a light gas gun, a specially designed target is impacted by the LY12 flyer, and the pressure is taken in the range of 0.6-3 GPa. Based on the stress profiles measured in the buffer materials by manganese gauges, the Hugoniot curve and release curves of LY12 aluminium alloy are obtained. Meanwhile, the release curves from different initial shocked states are described in both the pressure-particle velocity plane and the pressure-specific volume plane.     

具有迭代结构的时频分布计算方法

本文讨论了时频分布中的迭代算法的问题.通过选择特殊的计算窗口,时频分布的迭代运算形式能够有效地利用前面数据段的分析结果,从而避免了重复性的运算,使得计算效率得到提高.本文对原有的利用单边窗口的时频分布迭代算法的性能进行了分析,提出了采用对称型窗口的迭代计算形式.与单边窗口相比,双边形式的计算窗口不但可以有效地提高时频表示精度,同时还能够更为准确的表示信号的瞬时频率.文章对各项理论分析结果提供了相应的仿真实验结果.     

做人贵在清白,做事必须认真,做学问要敢于好高骛远,善于实事求是

结合自身的学习、工作经历，与研究生畅谈如何学会“做人、做事、做学问”。     

Design of Millimeter Wave TFMS Bandpass Filter

In this paper, a Ka-band thin film microstrip line(TFMS) filter with multi-layer structure on silicon substrate is introduced. The simulated results show that it is possible to design compact millimeter-wave filter on silicon substrate with process compatible to current VLSI technology.