The global Cauchy problem for the NLS and NLKG with small rough data

By using the unit-cube decomposition to the frequency spaces, we study the Cauchy problem for the nonlinear Schrödinger equation and the nonlinear Klein-Gordon equation. Some global well posedness results are obtained for the small Cauchy data in some modulation spaces .     

Weyl product algebras and modulation spaces

We discuss algebraic properties of the Weyl product acting on modulation spaces. For a certain class of weight functions ω we prove that is an algebra under the Weyl product if p∈[1,∞] and 1?q?min(p,p^′). For the remaining cases p∈[1,∞] and min(p,p^′)<q?∞ we show that the unweighted spaces Mp,q are not algebras under the Weyl product.     

对称相位函数掩模化的研究

本文对各种连续对称相位函数及其特性进行了分析,讨论了相位函数的2π调制、2^N和N-1法量化等问题及数据处理过程,提出二元衍射元件CIF(Caltech Intermediate Form)格式掩模数据的生成方法,并建立了实用软件,为激光直写技术实现二元衍射光学元件制作提供了有效的手段.     

Solution of bending of cantilever rectangular plates under uniform surface-load by the method of two-direction trigonometric series

The bending of a cantilever rectangular plate is a very complicated problem in thetheory of plates.For a long time,there have been only approximate solutions for thisproblem by energy methods and numerical methods.since 1979,Prof.F.V.Chang of Tsing Hua University obtained,by the method ofsuperposition,a series of analytic solutions for cantilever rectangular plates under uniformload and concentrated load.In this paper,the two-direction trigonometric series is used to obtain the solution forthe bending of cantilever rectangular plates under uniform load.The obtained results arecompared with the results by the method of superposition.The comparison shows that theresults of these two methods are in good agreement,hence they are mutually confirmed to becorrect.     

二维六角晶体材料中的Dirac 电子

本文综述由碳、硅、硼氮和二硫化钼等单元素或双元素构成的二维六角晶体材料中Dirac 电 子的研究成果与最新进展。文章从引言开始,接着介绍这些二维六角晶体材料的空间结构和基本 电子性质;然后探讨外场调控下这些材料在能谱和光吸收、量子输运、激子凝聚和热Josephson 效 应,以及拓扑量子相变等方面所表现出来的新奇的物理现象、简要的理论处理和可能的应用前景; 最后给出二维六角晶体材料相关研究的总结和展望。谨以本文献给南京大学建立物理学科100 周 年。     

Binding energies of donor impurities in modulation-doped double quantum wells under an electric field

In this study, we have investigated theoretically the binding energies of shallow donor impurities in modulation-doped GaAs/Al_0.33Ga_0.67As double quantum wells (DQWs) under an electric field which is applied along the growth direction for different doping concentrations as a function of the impurity position. The electronic structure of modulation-doped DQWs under an electric field has been investigated by using a self-consistent calculation in the effective-mass approximation. The results obtained show that the carrier density and the depth of the quantum wells in semiconductors may be tuned by changing the doping concentration, the electric field and the structure parameters such as the well and barrier widths. This tunability gives a possibility of use in many electronic and optical devices.     

航空稳像光电平台设计

分析了随机振动对调制传递函数的影响,指出角位移是影响航空成像质量的主要因素.研究了特定条件下可容许的MTF下降,并转变为稳定系统的设计参量,用来指导稳像系统的设计.利用空间机构学及平行四边形平动原理,研制了一种新的无角位移减振稳像平台,满足既无角位移又达到减振要求.根据设计理论给出了设计实例,对频率高于100 HZ的振动,衰减达34dB,并利用动力学软件进行测试仿真,仿真曲线验证无角位移减振的正确性,同时对无角位移机构进行光学测试,结果耦合角度小于8″,可以满足航空成像要求.     

光锥与CCD耦合器件调制传递函数的测试方法

采用直接对倾斜刀口成像的方法测量光锥与CCD耦合器件的调制传递函数.这种方法对静止刀口成像,利用刀口与光锥纤维列间的一定倾斜角度,在垂直于刀口的不同行之间形成不同的值,代替了传统刀口扫描中的扫描装置,并无需保证刀口与阵列的平行,相应地减小了测量误差. 在数据处理中采用了二次平均法,即对同一幅图像得出的不同位置值进行平均及多次测量结果平均,在一定程度上消除了由于离散性产生的空间非平移不变性的影响.     

超高速行波电吸收调制器的k值设计方法

介绍了一种用于超高速行波电吸收调制器(TW-EAM)设计的“k值带宽法”.该方法考虑了影响调制器带宽的阻抗失配、相速度失配、微波衰减等因素,说明一个优化设计的TW-EAM其带宽可达到140 GHz.