圆环振动拍的调整实验

根据非对称圆环点冲击下拍的理论模型分析拍的分布特性,该文提出了一种调整圆环拍周期和清晰度的方法。阐明圆环结构拍的发生原理,从而控制清晰度;在圆环上添加质量或研磨可以改变非对称性进而调整拍频。引入等效圆环的概念,通过在轴对称圆环上添加一个质量,建立与非轴对称圆环振动特性相同的等效圆环模型。利用该模型,计算要在非轴对称圆环添加质量的大小和位置,以便获得拍的最佳周期及清晰度。用实验和有限元法验证了该方法的有效性。     

三圆环型达曼光栅衍射与缺级

光栅和光栅衍射是波动光学中的一个重要内容, 讨论利用多个圆环衍射的圆环型达曼光栅的衍射现 象. 首先设计了一种三圆环型达曼光栅, 然后解析推导了圆环型达曼光栅的光强分布规律, 并数值分析了其中出现 的缺级现象, 从而使学生对光栅及光栅衍射有一个更深入的了解     

圆环电流/荷在轴线上的磁/电场的两个简洁公式

圆环电荷在轴线上的电场和圆环电流在轴线上的磁场有着相似的简洁表达.本文分别推导出均匀带电/载流圆环在中心轴上任意一点的电/磁场的简洁紧凑的三角函数表达式,并略述其应用.     

阶梯圆环压电超声换能器径向振动性能的理论研究*

提出了一种阶梯圆环径向振动压电超声换能器,根据力电类比原理建立了阶梯圆环及阶梯圆环换能器的径向振动等效电路,推导了阶梯圆环的径向共振频率方程和位移放大系数,在此基础上进一步推导了换能器的径向共振和反共振频率方程。通过理论推导和有限元仿真模拟分析了阶梯圆环压电超声换能器的径向振动性能。结果表明,增大阶梯圆环中内外环的径向厚度之比K1或减小轴向厚度之比K2,阶梯圆环的一阶径向共振频率减小,二阶径向共振频率增大;在二阶径向共振模式下,K1、K2值在一定范围内阶梯圆环可实现由内向外的径向位移振幅放大;随着压电陶瓷圆环的内半径增大,阶梯圆环压电超声换能器的一阶、二阶径向共振和反共振频率减小,二阶径向共振下的有效机电转换系数趋于零;增大阶梯圆环内环的外半径,换能器的一阶径向共振和反共振频率减小,二阶径向共振和反共振频率先增大后减小,理论推导与仿真模拟结果符合良好。本文研究结果为阶梯圆环压电超声换能器的工程应用提供理论参考。     

类圆环的夫琅和费衍射

圆环夫琅和费衍射已有精确解,更一般的类圆环夫琅和费衍射精确解未见报道.本文从基尔霍夫衍射积分公式出发,利用曲线坐标关系和类圆傅里叶变换,求得类圆环夫琅和费衍射的精确解,作出几种典型的类圆环的夫琅和费衍射图样,并对其进行了分析.     

Ⅰ类自发参量下转换光谱圆环空间分布

理论模拟了I类自发参量下转换产生的相关光子光谱圆环的空间辐射角度及光强分布,搭建了相关光子圆环光强分布的实验测量装置,该装置利用355 nm连续激光器泵浦BBO晶体产生I类自发参量下转换相关光子圆环,使用CMOS传感器作为相关光子圆环探测单元,通过2×2维点阵扫描方法探测了完整的相关光子圆环,测量的光谱分布为430～860 nm.实验结果表明:测量的相关光子圆环直径与理论值符合较好;Ⅰ类自发参量下转换过程产生的相关光子在空间呈同心圆环分布;相关光子光谱具有宽光谱分布特点.     

直线与圆的统一性

简要讨论了均匀带电细圆环产生的电磁场及圆环的近场,证实了直线是圆的退化情形.     

圆环在抛物面上运动模式的分析与探讨

圆环在抛物面上的运动是一种错综复杂的刚体运动,涉及许多晦涩难懂的理论知识.本文首先在实验上呈现了圆环在抛物面上的运动,获得了不同初速度方向时圆环的运动模式,即直线型、三叶草型和螺旋型.通过运动模式构造了在xy平面内的衰减位移方程,较好的拟合了利用Tracker软件跟踪圆环获取的实验运动轨迹,并解释了初始速度方向与圆环运动模式之间的内在关联.最后,在纯滚动理论框架内,探讨了特殊运动模式下圆环的角速度.     

均匀带电细圆环电场的计算机模拟

用Matlab程序对均匀带电细圆环在空间激发的电场进行了计算机模拟,可以输出带电圆环附近任意一点的电场强度及电势,做出了过环心与圆环垂直的平面内的等势线,以及三维空间的等势面,实现了电场的可视化,便于形象地理解带电圆环激发电场的空间分布.     

磁场作用下超导圆环的涡旋演化

利用Ginzburg-Landau理论模拟在外磁场作用下超导圆环的涡旋演化,讨论了外磁场、材料参数以及圆环内外径对涡旋进入超导圆环体以及涡旋达到稳定分布的影响.研究结果表明:外磁场越大,材料参数κ越大,圆环环身越宽,则超导圆环体内容纳的涡旋就越多.当磁场较小时,涡旋只由内边界进入超导体,当磁场足够大时,涡旋则先由外边界,然后再从内边界进入超导体.     

Electric and magnetic dipole couplings in split ring resonator metamaterials

In this paper, the electric and the magnetic dipole couplings between the outer and the inner rings of a single split ring resonator (SRR) are investigated. We numerically demonstrate that the magnetic resonance frequency can be substantially modified by changing the couplings of the electric and magnetic dipoles, and give a theoretical expression of the magnetic resonance frequency. The results in this work are expected to be conducive to a deeper understanding of the SRR and other similar metamaterials, and provide new guidance for complex metamaterials design with a tailored electromagnetic response.     

Hydrostatic pressure and electric and magnetic field effects on the binding energy of a hydrogenic donor impurity in InAs Pöschl-Teller quantum ring

We consider the effects of electric and magnetic fields as well as of hydrostatic pressure on the donor binding energy in InAs Pöschl-Teller quantum rings. The ground state energy and the electron wave function are calculated within the effective mass and parabolic band approximations, using the variational method. The binding energy dependencies on the electric field strength and the hydrostatic pressure are reported for different values of quantum ring size and shape, the parameters of the Pöschl-Teller confining potential, and the magnetic field induction. The results show that the binding energy is an increasing or decreasing function of the electric field, depending on the chosen parameters of the confining potential. Also, we have observed that the binding energy is an increasing/decreasing function of hydrostatic pressure/magnetic field induction. Likewise, the impurity binding energy behaves as an increasing/decreasing function of the inner/outer radii of the quantum ring nanostructure.     

一种基于旋转调谐的超材料

数值仿真研究了一种可调谐的双开口谐振环(DSRR)超材料.在平行入射的电磁波激励下,这种DSRR单元可以在不同的频段分别表现出磁谐振和电谐振.当外加电场E与DSRR的双开口平行时,DSRR受激励得到的磁谐振和电谐振强度最大.随着DSRR超材料沿外加磁场H方向顺时针旋转,其磁谐振和电谐振频率基本保持不变,但谐振强度均发生显著下降,同时对应透射相位的突变也逐渐降低.提出的超材料调谐方法只需要简单地旋转材料,而不需要改变原有超材料单元的结构或者增加额外的激励场,极大地简化了可调谐超材料的制备及应用,在电磁开关、相位调制等方面具有潜在的应用.同时,这种简单的方法有希望应用于更高频段的超材料调谐,可以有效地拓展太赫兹频段和光频段超材料的实际应用.     

Induced electric dipole in a quantum ring

In this contribution, we investigate the quantum dynamics of a neutral particle confined in a quantum ring potential. We use two different field configurations for induced electric dipole in the presence of electric and magnetic fields and a general confining potential, for which we solve the Schrödinger equation and obtain the complete set of eigenfunctions and eigenvalues.     

Meta材料谐振行为的因果性研究

分析了横电磁波作用下开口谐振环双各向异性Meta材料,揭示了虚波数引起Meta材料谐振行为的事实.利用Floquet模将开口谐振环周期性结构的场分布展开,从电磁波传播角度得出了凋落模是引起Meta材料谐振行为的原因.对于来自主平面上的入射波,具有相同极化方式的Floquet透射模将发生谐振,并且电谐振和磁谐振将随着入射角的不同而改变.     

Identifying magnetic response of split-ring resonators at microwave frequencies

In this study we provide experimental methods to identify the magnetic resonance of split ring resonantors (SRR) at the microwave frequency regime. Transmission measurements were performed on both single SRR unit cell and periodic arrays of SRRs. The magnetic response of the SRR structure was demonstrated by comparing the transmission spectra of SRRs with closed ring resonators (CRR). Effects of the changes in the effective dielectric constant of the SRR medium on the band-gaps of SRR are investigated experimentally. SRRs not only exhibit a magnetic resonance band gap but also a band gap due to the electric resonance. Finally, we present the effect of electric coupling to the magnetic resonance of bianisotropic SRRs by utilizing SRRs with different orientations, and incident electromagnetic wave polarizations.     

Screw split ring resonator as building block of three-dimensional chiral metamaterials

We proposed and numerically investigated the influence of spatial topology on the infrared frequency region response of chiral metamaterials based on discrete deformed split ring resonators. Compared with the well studied continuous helix, the proposed metamaterials with discrete topology exhibit broad band chiral electromagnetic response. It is shown that the conversion between left and right circular polarization waves for our model is much broader than the continuous helix model. The observed cross-coupling between electric and magnetic fields results from the chiral electric currents on the resonators due to the broken mirror symmetry. The findings are useful for the design of future real three-dimensional chiral metamaterials with tunable optical response.     

带开口磁环的周期永磁聚焦系统的轴向磁场

 基于磁环的元电流模型,分析了永磁磁环的轴向磁场分布规律。理论计算和测试结果表明:轴向磁化磁环中心轴上的磁感应强度不存在径向分量,只有轴向分量;但磁环开口后,轴向磁场降低,而径向磁场增加,其中心轴上的合成磁感应强度体现出非轴对称性,不利于其在周期永磁（PPM）聚焦系统中的应用。根据磁场的轴向分量和径向分量的分布特点,设计和优化了带开口磁环的PPM系统,实现了轴向磁场的周期化。     

均匀带电细圆环的电场

限据点电荷电势和场的叠加原理，导出了均匀带电细圆环电势和电场的级数表达式．     

圆环电荷的电势的几种算法及讨论

用三种方法计算了均匀带电圆环的电势,并略加讨论.