非线性Schrōdinger方程和非线性Klein-Gordon方程耦合组Cauchy问题整体经典解的存在唯一性

本文讨论非线性Schrōdinger方程和非线性Klein-Gordon方程耦合组的Cauchy问题,对初值和空间维数以及非线性项加以适当限制,在Sobolev空间框架下,得到了整体经典解的存在唯一性。     

迭代法分析圆环类微带行波天线的辐射特性

利用圆环类微带行波天线的辐射功率与等效行波磁流衰减常数之间的自洽关系,导出了计算衰减常数的迭代方程;为加快迭代速度,将辐射积分中的格林函数展开成柱面波函数,得到快速收敛的级数和.最后给出了方向图的计算曲线,与实验结果对比吻合良好,表明此方法模拟圆环类微带行波天线辐射特性的有效性.     

基于线计算的全加器设计

随着集成电路特征尺寸的不断缩小, 互连线在芯片内部占的比重越来越大, 但是互连线仅用于数据传输, 芯片计算能力仍然需要依靠晶体管开关实现. 如何在有限的硬件资源内进一步提高芯片的计算能力, 已经成为当前集成电路设计的核心问题. 本文通过研究金属互连线间电容耦合效应, 采用互连线串扰现象完成逻辑运算的思想, 提出一种基于线计算的全加器设计方案. 该方案首先建立线计算模型, 通过调整反相器阈值和不同干扰线与受扰线之间电容耦合强度匹配技术, 采用相同线计算电路结构实现不同功能的逻辑门电路; 然后, 在逻辑门的基础上实现基于线计算的全加器; 最后, 在TSMC 65nm CMOS工艺下仿真验证. 结果表明, 所设计的线计算电路具有正确逻辑功能, 与传统设计方法相比, 线计算逻辑门具有更低开销, 且线计算电路具有抗逆向工程能力.     

Single quantum dot nanolaser

Recent theoretical and experimental progress on nanolasers is reviewed with a focus on the emission properties of devices operating with a few or even an individual semiconductor quantum dot as a gain medium. Concepts underlying the design and operation of these devices, microscopic models describing light‐matter interaction and semiconductor effects, as well as recent experimental results and lasing signatures are discussed. In particular, a critical review of the “self‐tuned gain” mechanism which gives rise to quantum‐dot mode coupling in the off‐resonant case is provided. Furthermore recent advances in the modeling of single quantum dot lasers beyond the artificial atom model are presented with a focus on the exploration of similarities and differences between the atomic and semiconductor systems.     

Towards a naturally small cosmological constant from branes in 6D supergravity

We investigate the possibility of self-tuning of the effective 4D cosmological constant in 6D supergravity, to see whether it could naturally be of order 1/r⁴ when compactified on two dimensions having Kaluza–Klein masses of order 1/r. In the models we examine supersymmetry is broken by the presence of non-supersymmetric 3-branes (on one of which we live). If r were sub-millimeter in size, such a cosmological constant could describe the recently-discovered dark energy. A successful self-tuning mechanism would therefore predict a connection between the observed size of the cosmological constant, and potentially observable effects in sub-millimeter tests of gravity and at the Large Hadron Collider. We do find self-tuning inasmuch as 3-branes can quite generically remain classically flat regardless of the size of their tensions, due to an automatic cancellation with the curvature and dilaton of the transverse two dimensions. We argue that in some circumstances six-dimensional supersymmetry might help suppress quantum corrections to this cancellation down to the bulk supersymmetry-breaking scale, which is of order 1/r. We finally examine an explicit realization of the mechanism, in which 3-branes are inserted into an anomaly-free version of Salam–Sezgin gauged 6D supergravity compactified on a 2-sphere with nonzero magnetic flux. This realization is only partially successful due to a topological constraint which relates bulk couplings to the brane tension, although we give arguments why these relations may be stable against quantum corrections.     

A simple model to extract hyperfine interaction distributions from Mössbauer spectra

The general problem of finding a distribution in hyperfine interaction parameters from experimental Mössbauer spectra is outlined. Existing methods may lack flexibility to be easily applicable to simple problems. A line shape for hyperfine parameter distributions is given, which is based on linear segments in the probability function. This method is applied in the analysis of samples containing iron in a silicate glass.     

Large coercivity and unconventional exchange coupling in manganese-oxide-coated manganese gallium nanoparticles

The microstructures and magnetic properties of nanoparticles, each composed of an antiferromagnetic （AFM） manganese-oxide shell and a ferromagnetic-like core of manganese-gallium （MnGa） compounds, are studied. The coreshell structure is confirmed by transmission electron microscope （TEM）. The ferromagnetic-like core contains three kinds of MnGa binary compounds, i.e., ferrimagnetic （FI） DO22-type MnaGa, ferromagnetic （FM） Mn8Gas, and AFM DO19-type Mn3Ga, of which the first two correspond respectively to a hard magnetic phase and to a soft one. Decoupling effect between these two phases is found at low temperature, which weakens gradually with increasing temperature and disappears above 200 K. The exchange bias （EB） effect is observed simultaneously, which is caused by the exchange coupling between the AFM shell and FM-like core. A large coercivity of 6.96 kOe （1Oe = 79.5775 A·m^-1） and a maximum EB value of 0.45 kOe are achieved at 300 K and 200 K respectively.