微波孔缝线性耦合函数研究

讨论了微波脉冲通过孔缝线性耦合进入腔体内的研究方法。给出了线性耦合的物理基础,定义了耦合函数，并导出了耦合函数随入射电场极化方向变化的公式。简要描述了数值求解孔缝线性耦合的时域有限差分方法以及修正算法。给出了以矢量网络分析仪HP8510C为主要设备测量耦合函数的实验方法。通过耦合函数的研究，观察到了共振效应和增强效应等现象，给出了微波孔缝耦合发生共振的普适公式。分析了测量探头对耦合函数测量的影响，验证了耦合函数随入射电场方向变化的公式。理论、数值和实验结果符合得较好。     

内孔缝位置对嵌套腔体微波耦合特性的影响

利用时域有限差分（FDTD）方法计算了不同内孔缝位置情况下微波脉冲与带缝嵌套圆柱形腔体系统的耦合过程;分别分析了内孔缝位置对外部带缝腔体和内部带缝腔体耦合特性的影响。结果表明:除了内孔缝附近区域以外,内孔缝位置对外腔耦合特性的影响很小,可以忽略不计;但内孔缝位置对内腔耦合特性的影响较大,而且内腔的屏蔽性能由外腔内的耦合场分布以及内孔缝的位置共同决定。     

内孔缝位置对嵌套腔体微波耦合特性的影响

 利用时域有限差分（FDTD）方法计算了不同内孔缝位置情况下微波脉冲与带缝嵌套圆柱形腔体系统的耦合过程;分别分析了内孔缝位置对外部带缝腔体和内部带缝腔体耦合特性的影响。结果表明:除了内孔缝附近区域以外,内孔缝位置对外腔耦合特性的影响很小,可以忽略不计;但内孔缝位置对内腔耦合特性的影响较大,而且内腔的屏蔽性能由外腔内的耦合场分布以及内孔缝的位置共同决定。     

微波脉冲与圆柱腔体耦合的时域有限差分模拟

给出了微波脉冲与腔体上孔洞线性耦合的物理模型,讨论了数值模拟的时域有限差分方法以及吸收边界条件,计算了不同大小和位置孔洞的耦合过程,分析了耦合对孔洞大小和入射场偏振方向的依赖关系.     

微波脉冲窄缝耦合的数值并行计算

采用时域有限差分方法（FDTD）对微波脉冲与窄缝耦合过程进行了数值模拟计算,分析了数值模拟计算过程中的并行性,给出了相应的并行算法,算法中采用消息合并和计算与通信重叠技术来减少通信阳,分析了算法的通信复杂性,给出了在Alpha工作站上的测试结果。     

微波脉冲与不同形状带矩形孔缝腔体耦合的数值模拟

利用时域有限差分法对微波脉冲与带矩形孔缝的矩形和圆柱形腔体两种系统的线性耦合过程进行了研究。首先用数值方法分析了耦合过程中的场增强现象、脉宽展开现象和腔体调制现象,并发现了耦合过程中微波脉冲存在频谱分离现象。当微波脉冲的电场与孔缝窄边平行时,借助耦合函数对两个系统内部耦合场的分布特性进行了研究,结果表明在与孔缝窄边垂直的平面内,越靠近腔体壁,耦合场越弱。此外,两种腔体内部的耦合场在腔体截面内均呈现准周期振荡分布,矩形腔体内部耦合场振荡的幅值较均匀,而圆柱形腔体内部耦合场幅值在其截面中心附近区域最大;除了孔缝附近区域外,圆柱腔体轴线两端的耦合场远大于矩形腔体相应的耦合场。最后,研究了孔缝耦合共振频率与孔缝尺寸的关系,结果表明系统耦合共振频率不只与孔缝尺寸有关,而是由孔缝尺寸和腔体形状及其对微波脉冲的反射特性共同决定。     

矩形孔缝耦合特性实验研究

 对矩形孔缝在微波频率为2～18GHz范围内的耦合系数进行了实验研究;建立了实验方法和实验装置。实验结果表明：对于矩形孔缝,当入射电场方向垂直于孔缝长边时,在微波波长约等于2倍孔缝长度时,发生共振效应,在该频率附近一定带宽内耦合系数最大,并且在共振频率处存在着场增强效应。     

电磁脉冲与窄缝腔体耦合共振特性分析

 应用时域有限差分法模拟计算了电磁脉冲对窄缝和窄缝腔体的线性耦合过程。通过定义能量耦合传输系数,分析耦合能量随窄缝宽度和厚度及时间的变化关系,得出在正弦波调制的高斯脉冲源激励下,窄缝和窄缝腔体的耦合共振特性。     

超宽带电磁脉冲对腔体孔缝耦合效应的数值模拟

为了解孔缝耦合对超宽带电磁脉冲干扰和毁伤电子设备的影响,应用时域有限差分法对长方腔体上不同形状的孔缝耦合效应进行了数值研究。选取mm量级的微小孔缝为研究对象,分析不同入射角度、不同脉宽的激励源对耦合效应的影响,得到了孔腔共振效应、孔缝增强效应和腔体内场强的分布规律。研究表明：长方孔在孔缝附近存在明显的增强效应,超宽带脉冲对正三角孔和方阵的耦合系数最小,脉宽短的入射脉冲耦合效应明显强于脉宽长的脉冲,耦合效应基本随入射角的减小而缓慢减小。     

电磁脉冲与窄缝腔体耦合共振特性分析

应用时域有限差分法模拟计算了电磁脉冲对窄缝和窄缝腔体的线性耦合过程。通过定义能量耦合传输系数,分析耦合能量随窄缝宽度和厚度及时间的变化关系,得出在正弦波调制的高斯脉冲源激励下,窄缝和窄缝腔体的耦合共振特性。     

电磁脉冲对金属板搭接缝隙耦合效应分析

 针对在缝隙耦合研究中,对金属板接合处搭接缝隙电磁特性的讨论相对较少的情况,应用时域有限差分方法模拟了强电磁脉冲对搭接缝隙的耦合穿透过程,计算了缝隙口径面等效面磁流和进入另一空间的透射场。为便于由等效磁流外推透射场,应用等效原理将电磁流在1/4空间的辐射等效为电磁流及其镜像在自由空间的辐射,避免了计算搭接缝隙边界情形下空间格林函数的困难。外推时采用分区外推法节省了计算时间。最后通过分析耦合场的变化曲线,总结了耦合共振规律。     

高功率微波缝隙耦合效应的试验研究

 利用高功率微波源对预设的11种不同尺寸的缝隙做了耦合效应试验，得到了这11种缝隙对试验波段的一般耦合特性。试验结果表明：窄缝的耦合效应有较强的极化特性；从波长与缝隙的长度相对关系对耦合效应的影响来看，波长与缝隙的长度相当时耦合效应最强；在UWB，L，S，X几个波段内，缝隙的宽度越窄，耦合效应越弱；缝隙的深度能明显影响其耦合效应，随缝深的增加，耦合效应逐渐减弱；辐射波脉宽变化对耦合效应基本没有影响。     

不同电磁脉冲作用下地面有限长电缆外导体感应电流的数值计算

 运用时域有限差分法计算了地面有限长电缆在高功率微波、超宽带和核电磁脉冲作用下的外导体感应电流。计算结果表明：场强相同情况下，核电磁脉冲在电缆上感应的电流最大，持续时间最长，高功率微波和超宽带在几m长和几十m长的电缆上感应的电流相差不大；入射角对电缆感应电流也有影响，电场方向与电缆平行时感应最强；地面电缆的感应电流振荡频率比自由空间中电缆的感应电流振荡频率低；随着大地电导率的增大，感应电流反射波衰减加快；电缆任一端接地后，接地端电缆感应电流都会增大。     

Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions

We examine two-component Gross-Pitaevskii equations with nonlinear and linear couplings, assuming self-attraction in one species and self-repulsion in the other, while the nonlinear inter-species coupling is also repulsive. For initial states with the condensate placed in the self-attractive component, a sufficiently strong linear coupling switches the collapse into decay (in the free space). Setting the linear-coupling coefficient to be time-periodic (alternating between positive and negative values, with zero mean value) can make localized states quasi-stable for the parameter ranges considered herein, but they slowly decay. The 2D states can then be completely stabilized by a weak trapping potential. In the case of the high-frequency modulation of the coupling constant, averaged equations are derived, which demonstrate good agreement with numerical solutions of the full equations.     

Nearsightedness-related indices of finite systems based on linear response function: one-dimensional cases

ABSTRACT

We have investigated nearsightedness of electronic matter (NEM) of finite systems on the basis of linear response function to examine theoretical foundation of contemporary computational chemistry such as quantum mechanics/molecular mechanics methods. In this study, we introduce several nearsightedness-related indices to assess the magnitude of localisability of responses for one-dimensional finite model systems. We started from two electrons' systems, which are beyond the scope of the original concept of NEM, and increased the number of electrons (N) to a hundred electrons to analyse dependency of such indices on N. In the process of construction of the indices, we analysed the factors, because of which the magnitude of nonlocal parts of linear response functions becomes small, into several ones, and extracted purely the magnitude of propagation of responses.     

非线性耦合对线性耦合同步的调制研究

基于李亚普诺夫稳定性理论,构造了指数型的李亚普诺夫函数,以四变量的Chen超混沌系统为例,解析地证明了线性耦合实现同步的可靠性．进一步研究了非线性耦合对线性耦合同步的调制作用．基于无量纲化的动力学方程定义一个统计函数来估算控制器的消耗功率,确定了线性耦合与非线性耦合实现同步对应的参数范围,数值计算结果验证了理论结果的可靠性．     

Reliability of linear coupling synchronization of hyperchaotic systems with unknown parameters

Complete synchronization could be reached between some chaotic and/or hyperchaotic systems under linear coupling. More generally, the conditional Lyapunov exponents are often calculated to confirm the stability of synchronization and reliability of linear controllers. In this paper, detailed proof and measurement of the reliability of linear controllers are given by constructing a Lyapunov function in the exponential form. It is confirmed that two hyperchaotic systems can reach complete synchronization when two linear controllers are imposed on the driven system unidirectionally and the unknown parameters in the driving systems are estimated completely. Finally, it gives the general guidance to reach complete synchronization under linear coupling for other chaotic and hyperchaotic systems with unknown parameters.     

A hybrid modeling for the theoretical analysis of reflections in a multimode-interference coupler based on silicon-on-insulator nanowires

A hybrid method combining the three-dimensional (3D) beam propagation method (BPM) and a 3D finite-difference time-domain (FDTD) method is presented for the simulation of multimode-interference (MMI) couplers based on silicon-on-insulator (SOI) nanowires. This hybrid method makes it possible to have a robust analysis for the reflection properties while avoiding a time-consumed computation with a simplex 3D-FDTD simulation. The reflected power is sensitive to both the length and the width of the MMI coupler and thus one should choose the optimal values for good self-imaging. Furthermore, the reflection could be reduced by introducing tapers between the MMI section and the access waveguides.     

Comment on “Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers” [Physica A 387 (2008) 2111-2119]

In this paper, we point out two problems in synchronization of dynamic networks based on linear feedback controllers presented by Wu and Jiao [J. Wu, L. Jiao, Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers, Physica A 387 (2008) 2111-2119]. Furthermore, an amendatory version on global exponential synchronization is given and proved in this paper.