基于有限元法与超胞法的结构声表面波缺陷态分析

简要介绍了有限元法与超胞法相结合计算结构声表面波缺陷能带结构的方法,理论上分析了缺陷型表面声子晶体的声限制和声波导。表面声子晶体由刻有周期性凹槽的刚性板构成,通过改变晶体中某一格点或某一排格点的几何参数可以构建点缺陷和线缺陷。利用有限元法与超胞法能够十分方便地计算出表面声子晶体的点缺陷和线缺陷对应的缺陷带结构以及特定频率声波局域在点缺陷与线缺陷的本征压力场。通过分析缺陷能带结构与本征压力场,可以直观地了解缺陷型表面声子晶体中的声限制和声波导。     

对一道最值问题的研究

作为数学的学习与研究,如果仅仅停留在把题目答案找出来,笔者认为远远不够,为解题而解题,数学思维能力很难得到更深程度的训练和提高,数学学习过程中,应该想尽办法让思维呈立体状,多纬度,居高临下,由点到面,通过解一道题却能复习更多的数学知识,尽可能让一道题目变得更丰满,知识容量更大,同学们收获更多．而“一题多解”这种策略如果运用恰当就能很好地训练同学们的思维能力．     

基于二维声子晶体多通道线缺陷结构的定向声激发

提出一种基于声子晶体线缺陷波导的多通道结构来实现声波定向激发.一束入射声波在该结构中传播时被分割成多束分支,这些分支声束到达输出端时具有相等的相位,进而在输出端产生具有高度准直形态的辐射场分布.该辐射场分布的半高宽具有反比于结构中通道数的特点.数值模拟结果与实验结果同时验证了这种结构的声定向效应.相对于大多数已有的声波定向方案,这种结构具有简单从而易于制备的优点.     

Intruder Motion in Two-Dimensional Shaken Granular Beds

The dynamical behavior of an intruder immersed in a two-dimensional shaken granular bed is experimentally investigated. With two types of background particles, f-Г phase diagrams depicting the intruder＇s motion are measured and compared. It is found that even with the same size and density ratio of the intruder to the background particles, the intruder exhibits a distinct behavior at given vibrational conditions： rising behavior in one granular bed; sinking behavior in another granular bed. We slightly tune the size and density ratio to confirm the reliability of the experimental results. In addition, we examine the influences of interstitial air, convection and the initial position on the intruder＇s motion, speculating that the opposite motion could be traced to the material properties of the background particles.     

Shot noise in electron transport through a double quantum dot: a master equation approach

We study shot noise in tunneling current through a double quantum dot connected to two electric leads.We derive two master equations in the occupation-state basis and the eigenstate basis to describe the electron dynamics.The approach based on the occupation-state basis,despite being widely used in many previous studies,is valid only when the interdot coupling strength is much smaller than the energy difference between the two dots.In contrast,the calculations using the eigenstate basis are valid for an arbitrary interdot coupling.Using realistic model parameters,we demonstrate that the predicted currents and shot-noise properties from the two approaches are significantly different when the interdot coupling is not small.Furthermore,properties of the shot noise predicted using the eigenstate basis successfully reproduce qualitative features found in a recent experiment.     

对一道最值问题的研究

作为数学的学习与研究,如果仅仅停留在把题目答案找出来,笔者认为远远不够,为解题而解题,数学思维能力很难得到更深程度的训练和提高,数学学习过程中,应该想尽办法让思维呈立体状,多纬度,居高临下,由点到面,通过解一道题却能复习更多的数学知识,尽可能让一道题目变得更丰满,知识容量更大,同学们收获更多.而一题多解这种策略如果运用恰当就能很好地训练同学们的思维能力.