A New Cohomology Theory of Orbifold

Based on the orbifold string theory model in physics, we construct a new cohomology ring for any almost complex orbifold. The key theorem is the associativity of this new ring. Some examples are computed.Both authors partially supported by the National Science Foundation     

Neural Network Models for Finline Discontinuities

The radial basis network is used as the finline discontinuities electromagnetic artifical neural network(EMANN) models. EM software analysis is employed to characterize finline discontinuities. EMANN models are then trained using physical parameters and frequency as inputs and equivalent electric circuit element parameters of finline discontinuities as outputs. Once trained , the EMANN models can simulate equivalent electric circuit element parameters of finline step, notch and strip very fast and efficiently.     

Cylindrical invisibility cloak with simplified material parameters is inherently visible

It was proposed that perfect invisibility cloaks can be constructed for hiding objects from electromagnetic illumination [J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006)10.1126/science.1125907]. The cylindrical cloaks experimentally demonstrated [D. Schurig, Science 314, 977 (2006)10.1126/science.1133628] and theoretically proposed [W. Cai, Nat. Photon. 1, 224 (2007)10.1038/nphoton.2007.28] have however simplified material parameters in order to facilitate easier realization as well as to avoid infinities in optical constants. Here we show that the cylindrical cloaks with simplified material parameters inherently allow the zeroth-order cylindrical wave to pass through the cloak as if the cloak is made of a homogeneous isotropic medium, and thus visible. To all high-order cylindrical waves, our numerical simulation suggests that the simplified cloak inherits some properties of the ideal cloak, but finite scatterings exist.     

Ideal cylindrical cloak: perfect but sensitive to tiny perturbations

A cylindrical wave expansion method is developed to obtain the scattering field for an ideal two-dimensional cylindrical invisibility cloak. A near-ideal model of the invisibility cloak is set up to solve the boundary problem at the inner boundary of the cloak shell. We confirm that a cloak with the ideal material parameters is a perfect invisibility cloak by systematically studying the change of the scattering coefficients from the near-ideal case to the ideal one. However, because of the slow convergence of the zeroth-order scattering coefficients, a tiny perturbation on the cloak would induce a noticeable field scattering and penetration.     

双向抽运拉曼光纤放大器性能的研究

对双向抽运拉曼光纤放大器(RFA)的噪声特性、增益饱和及抽运功率转换效率进行了详细研究。结果表明,双向抽运拉曼光纤放大器的噪声特性介于前向抽运与后向抽运之间,但主要取决于前向抽运方式所导致的噪声特性;双向抽运方式的饱和功率低于单向抽运方式的饱和功率,同前向抽运与后向抽运提供的增益比例有关;双向抽运方式的抽运功率转换效率同信号光功率及前、后向抽运提供的增益有关,当信号光功率较低时,增加前向抽运的比例可取得较高的抽运功率转换效率,而信号光功率较高时,增加后向抽运的比例可取得较高的抽运功率转换效率。研究一种配置(情况3)的双向抽运拉曼光纤放大器,可以完全补偿100km传输线路的损耗(包括无源器件的损耗),最低光信噪比为30．21dB。     

Ku波段扩展互作用速调管设计

微波电真空器件随着频率的升高,不但聚焦系统难以实现,而且其输出增益和带宽都受到很大的限制,要解决该问题,建议采用扩展互作用速调管,采用分布作用谐振腔技术来扩展其工作带宽和提高增益。利用CST和粒子模拟(PIC)3维软件对其工作在Ku波段扩展互作用速调管进行了设计和仿真,在工作电压30 kV、束流8.5 A的条件下,聚焦系统采用幅值为0.48 T的周期反转永磁聚焦,在输入功率为5.1 W时,得到效率为23%,3 dB带宽为306 MHz,频带内最大增益为39 dB,其峰值功率为58 kW的微波输出。     

Single‐molecule detection of thionine on aggregated gold nanoparticles by surface enhanced Raman scattering

We report observations of single‐molecule detection of thionine and its dynamic interactions on aggregated gold nanoparticle clusters using surface enhanced Raman scattering (SERS). Spectral intensities were found to be independent of the size of Au nanoparticles studied (from 17 to 80 nm) at thionine concentration below 10⁻¹² M or at single‐molecule concentration levels. Raman line separations and, in particular, spectral fluctuations and blinking were also observed, suggesting temporal changes in single molecular motion and/or arrangements of thionine on Au nanoparticle surfaces. In contrast, by using dispersed Au nanoparticles, only ensemble SERS spectra could be observed at relatively high concentrations (> 10⁻⁸ M thionine), and spectral intensities varied with the size of Au nanoparticles. Copyright © 2007 John Wiley & Sons, Ltd.     

微弱电流高精度自动测量系统

为了实现辐射探测中对微弱电流信号的实时准确测量,设计了一套微弱电流测量系统。介绍了系统的工作原理,及I-V转换和放大单元的低噪声抗干扰设计、-△模数转换技术和单片机程序的设计。系统通过USB与计算机进行通信,计算机应用软件可以完成采集频率和量程控制、数据处理、显示和存储等功能。经过验证,该系统能满足10-13~10-3 A的大动态微弱电流测量,分辨力为四位半, 能自动量程判断,具有较高的精度和稳定性,已成功应用于辐射探测实验。     

Some discussions about the variable separating method for solving nonlinear models

Through analysing the exact solution of some nonlinear models, the role of the variable separating method in solving nonlinear equations is discussed. We find that rich solution structures of some special fields of these equations come from the nonzero seed solution. However, these nonzero seed solutions is likely to result in the divergent phenomena for the other field component of the same equation. The convergence and the signification of all field components should be discussed when someone solves the nonlinear equation using the variable separating method.