Cohomology of the Orlik–Solomon Algebras and Local Systems

The paper provides a combinatorial method to decide when the space of local systems with nonvanishing first cohomology on the complement to an arrangement of lines in a complex projective plane has as an irreducible component a subgroup of positive dimension. Partial classification of arrangements having such a component of positive dimension and a comparison theorem for cohomology of Orlik–Solomon algebra and cohomology of local systems are given. The methods are based on Vinberg–Kac classification of generalized Cartan matrices and study of pencils of algebraic curves defined by mentioned positive dimensional components.     

相变引起金属靶板异常层裂的应力波分析

 采用唐志平等提出的一种简单混合相相变本构模型,运用特征线分析方法,通过对靶板中弹塑性波和宏观相边界传播情况的分析,对一些异常层裂现象产生的机理给出了理论解释。分析表明,（逆）相变过程的发生会强烈地改变靶板中的冲击波波形,形成所谓的三波结构和稀疏冲击波,板中某些位置还可能出现驻定相边界,各波系间的相互作用更加复杂,从而可能导致一些特殊层裂现象的发生。     

Simulation and optimization of a polymer directional coupler electro-optic switch with push-pull electrodes

Structural model and design technique are proposed for a polymer directional coupler electro-optic switch with rib waveguides and push-pull electrodes, of which the electric field distribution is analyzed by the conformal transforming method and image method. In order to get the minimum mode loss and the minimum switching voltage, the parameters of the waveguide and electrode are optimized, such as the core with, core thickness, buffer layer between the core and the electrode, coupling gap between the waveguides, electrode thickness, electrode width and electrode gap. Switching Characteristics are analyzed, which include the output power, insertion loss, and crosstalk. To realize normal switching function, the fabrication error, spectrum shift, and coupling loss between a single mode fiber (SMF) and the waveguide are discussed. Simulation results show that the coupling length is 3082 μm, push-pull switching voltage is 2.14 V, insertion loss is less than 1.17 dB, and crosstalk is less than −30 dB for the designed device.     

Contra-directional coupling between two-dimensional photonic crystal waveguides

The contra-directional coupling between two photonic crystal (PC) waveguides is studied, using the finite-difference time-domain (FDTD) method. A design of contra-directional coupler is presented and its transmission properties are investigated. The device can be used as an add/drop filter. It is also shown that the coupled mode theory is suitable to study the photonic crystal waveguide coupler.     

Theory of optical couplers

The propagation of solitons through optical couplers is studied here in this paper. Both the twin-core couplers as well as the multiple-core couplers are considered here in this paper. The parameter dynamics of the solitons that are governed by the coupled generalized nonlinear Schrodinger's equation, due to non-Kerr law nonlinearity, has been obtained for such couplers.     

Effects of Evanescent Space-Harmonics on the Transmission Characteristics of a Gaussian Beam by Cylindrical Wire Grids

When electromagnetic waves propagate through a wire grid, there will be some evanescent space harmonics generated around the wire grid. In this paper, we mainly investigate their effects on the transmission characteristics of a Gaussian beam by cylindrical wire grids. The results are compared with those without taking account of evanescent space-harmonics.     

一种分析三维楔脊形光波导与光纤耦合的方法

和直波导的不同在于，三维楔脊形波导中的光场都是不稳定的.分别对波导-光纤耦合、光纤-波导耦合两种情况，将三维楔脊形波导等效为多段短的直波导，利用束传播法同时对三维楔脊形波导内不稳定的入射、反射场，及它们在传播方向上的偏导进行处理，再用自由空间辐射模法计算透射率和反射率.以SOI楔脊形波导和光纤的耦合为例，验证了该方法的可行性. 关键词： 自由空间辐射模法 束传播法 耦合 透射 楔脊形光波导 绝缘体上硅(SOI)     

高电荷态离子126Xeq+与Ti固体表面作用的激发光谱

报道用150keV的高电荷态离子¹²⁶Xe^q+（6≤q≤30）轰击Ti固 体表面产生2 00—1000nm波段发射光谱的实验结果.结果显示，用电荷态足够高的离子作光谱激发源，无 需很强的束流强度（nA量级），便可激发起样品表面的原子和离子在可见光波段的特征谱线 .当入射离子剥离度q>q_c≈20时，Ti原子及其离子的特征谱线强度突然显著增强 ；不 同金属靶，特征谱线突然增强的q_c值不同.理论分析表明，这与q大于此临界值 后，单电子转移释放能量激发靶材料传导电子气体的表面等离激元密切相关. 关键词： 低速高电荷态离子 特征谱线 经典过垒模型 等离激元     

Kerr介质中压缩真空场与耦合双原子依赖强度耦合系统原子布居数的时间演化

研究了存在Kerr介质时,单模压缩真空场与耦合双原子依赖强度耦合相互作用系统原子布居数的时间演化规律,讨论了Kerr介质、原子间相互作用和光场的初始压缩因子对原子布居数时间演化的影响.     

充分发展槽道湍流的小波数值分析

数值计算了高斯子波变换Navier Stokes(N-S)方程后得到的积分方程.在利用高斯子波得到的以弯曲度为基本量的无穷域中N-S方程的基础上,得到了有界区域内的以弯曲度为基本量的N-S方程.将此N-S方程看作一个特殊的扩散方程,将压力项与对流项看作是源项,得到一个积分方程.利用特征线法对该方程求解,得到通解.并将所得结果运用于对称槽道湍流和非对称槽道湍流的研究中.将计算与实验所得的平均量与实验结果进行了对比.