闪电脉冲电磁场在地下空间的分布特性

为了研究闪电脉冲电磁场(LEMP)在地下传播的过程与空间分布特性,本文采用一种改进的时域有限差分法(FDTD)计算了LEMP在整个地下空间的传播过程.与以往发表的研究只局限在个别观察点的讨论不同,本文通过计算得到了空间中所有网格位置上的电磁场、时间导数、功率密度和能量密度及它们的峰值,并将它们按照空间坐标表示在相应的分布彩图中.发现在靠近地表和远离闪电通道的区域内,LEMP的各个分量同时在平行和垂直地面的两个方向上呈指数型衰减.其中磁场与水平电场的峰值在整个空间极性统一,且呈现类双指数形分布.而垂直电场在地下的峰值分为极性相反的两个区域,并且靠近闪电通道的区域呈类球状分布.其他特性参量也有类似以上的空间分布特点.并且本文通过对不同大地电导率、电容率、放电通道模型和基电流情况的计算,发现虽然在个别情况下LEMP在地下空间的数值整体增大,但整体分布特征并未改变.即使是在水平或垂直分层大地的情况下,同一层内部仍然具有相同的分布规律.甚至是在击中避雷针情况下,LEMP在地下空间的分布特点也仍然未变.而这些分布规律和特征的发现和利用,将为地下管线、设备、线缆的电磁防护设计与位置规划提供重要的支持.     

Modeling the development of the stepped leader of a lightning discharge

A stochastic-deterministic model is presented for the propagation of a downward-moving leader. Lightning formation is described by a stochastic growth of branching discharge channels which is determined by the electrostatic field. The dynamics of the electric field and of the charge distribution over the lightning structure are calculated deterministically. The model includes the initiation of lightning, a preliminary discharge in a cloud, the propagation of a downwardmoving stepped leader toward the earth, and the initiation and upward motion of a return stroke from the earth’s surface. Numerical execution of the model yields a dynamic picture of the development of the downward-moving leader and of the intracloud discharge structure. The effect of the charge density in the cloud and the parameters of the developing channels on the spatial-temporal, current, and charge characteristics of the stepped leader’s propagation are studied. The effect of free-standing structures on the distribution of points on the earth’s surface where lightning strikes is examined. Zh. Tekh. Fiz. 69, 48–53 (April 1999)     

地闪雷电电磁脉冲在大地中的分布研究

为研究地闪雷电电磁脉冲(LEMP)在大地中的分布规律,采用二维时域有限差分法计算了在雷电通道不同距离处、不同大地电参数条件下LEMP在地下不同深度的分布,并与其他高功率电磁环境在大地中的衰减情况作了对比.计算结果表明:随距离增大,大地中LEMP场分量迅速衰减;大地电导率较大时,电场分量衰减很大;大地电容率的变化主要影响LEMP的垂直电场分量,随大地电容率的增大,垂直电场分量明显减小;随深度的增大,电场分量衰减增大,其高频成分的衰减尤为显著,低频成分则衰减很小.由此可知,对电线电缆实施简单的埋地处理并不能有效防止LEMP的耦合效应.     

外加电磁窗减缓再入飞行器的通信中断

为解决再入过程中的黑障问题,在前期磁窗天线增强等离子体透波特性研究基础上,开展了外加电磁窗影响研究,磁体为钕铁硼,外加电压为100 V。利用不同飞行高度下的流场数据,对不加电磁场、外加磁场和外加正交电场与磁场影响下的流场进行数值模拟,对比不同参数设置下天线窗口处的电子密度和电磁波衰减常数,分析了再入飞行器的飞行高度、天线窗位置、电磁波频率、电子密度和碰撞频率等参数对电磁窗天线性能的影响。从分析结果可以看出,外加正交电场与磁场对于减缓再入过程中黑障的效果优于仅外加磁场,通过合理选择电磁窗的工作状态和参数可以改变等离子体的分布特性和介电参数,能够有效地增强电磁波在等离子体鞘套中的传输,为解决和减缓通信中断问题提供了一种可能的途径。     

依据光谱研究闪电回击通道核心的特征参数

闪电回击通道核心中的大电流及其强电磁辐射是引发多种雷电灾害的主要根源。随着现代科技的飞速发展,闪电防护工作显得越为重要。为了完善闪电防护系统,需要从描述闪电回击通道核心的特征参数入手深入研究闪电通道形成和发展过程的微观物理机制。截至目前,光谱观测是获取闪电通道核心特征参数的最佳手段。2015年夏天在青海高原地区的野外试验中,利用由高速摄像机作为记录系统组装的无狭缝光栅摄谱仪,结合快天线地面电场测量仪,记录到一次包括四个回击的云地闪电放电过程的光谱以及与之同步的快电场变化信息。依据光谱,结合等离子体理论计算得到闪电回击通道核心的电导率。在此基础上,应用闪电电动力学模型计算了闪电回击速度、峰值电流、贯穿通道核心的电磁场以及通道核心单位长度的峰值功率等特征参数。结果表明,回击速度在(1.2～2.3)×108 m·s-1的范围内;贯穿回击通道核心的轴向电场、径向电场和磁感应强度的最大值分别在(1.42～1.74)×105 V·m-1,(8.22～9.99)×108 V·m-1和(1.51～2.83) T的范围内。当闪电回击的峰值电流在(7.52～24.05) kA的范围内时,回击通道核心的峰值功率在(0.63～1.92)×109 W·m-1的范围内。另外,分析了电导率、起始电场峰值、回击速度和峰值电流与峰值功率之间的相关性,结果发现峰值电流和峰值功率具有良好的线性关系。研究结果可为探索闪电回击通道形成和发展过程的微观物理机制提供参考依据。     

Significant parameters affecting a lightning stroke to a horizontal conductor

This paper studies different parameters affecting a lightning stroke to a horizontal conductor. An electromagnetic model has been constructed to consider the influences of different lightning and horizontal conductor parameters and ambient conditions on the lateral striking distance. The results show that lightning leader parameters, horizontal conductor voltage, horizontal conductor height, and ground slope have a series effect on the lateral striking distance. Based on the results, recommendations are made to decrease the lightning stroke to the horizontal conductor.     

Observations and modeling of lightning leaders

The development of atmospheric lightning is initiated by a ‘leader’ phase during which ionized channels appear in virgin air. The use of rapid cameras, the measure of fields and currents associated with the discharge allow one to compare the propagation of laboratory leaders with those of natural or artificially triggered lightning. The corresponding physical processes can be analyzed with the help of models developed for laboratory leaders provided that the non linear effects due to the intense current circulation leading to lightning leader thermalization are taken into account. A self-coherent simulation of triggered lightning leaders for both polarities is presented is this paper. Furthermore, these models make it possible to define the ‘stabilization field’ concept, equal to the minimum ambient field allowing the stable progress of a leader from a ground structure, expressed as a height and curvature function of this structure. This concept can be validated through triggered lightning tests. Finally, the stabilization field analysis is completed by a simplified analytical model based upon an electrostatic approach of propagation equilibrium. To cite this article: P. Lalande et al., C. R. Physique 3 (2002) 1375–1392.     

涂覆双层石墨烯的介质纳米线表面等离子体光波导的模式特性研究

设计了一种由涂覆双层石墨烯的圆形介质纳米线组成的表面等离子体光波导。利用有限元法(FEM),数值分析了纳米线半径、介质夹层厚度、石墨烯化学势以及工作频率对波导所支持的电磁场模式的有效折射率、传播长度、归一化模式面积以及品质因数等模式特性的影响。结果表明,这种新型的混合表面等离子体光波导具有很强的模式束缚能力,归一化模式面积非常小,可以实现极高密度的器件集成,并且传输损耗较低。     

Studies on characteristics of lightning generated currents in an interconnected lightning protection system

An in-depth knowledge about the characteristics of lightning generated currents will facilitate evaluation of the interception efficacy of lightning protection systems. In addition, it would aid in extraction of valuable statistics (from measured current data) on local lightning parameters. Incidentally, present day knowledge on characteristics of lightning induced current in typical lightning protection systems is rather limited. This is particularly true with closely interconnected protection systems, like the one employed in Indian Satellite Launch Pad-II. This system is taken as a specific example in the present study. Various aspects suggest that theoretical modelling would be the best possible approach for the intended work. From the survey of pertinent literature, it is concluded that electromagnetic modelling of lightning return-stroke with current source at the channel base is best suited for this study. Numerical electromagnetic code was used for the required electromagnetic field solution and Fourier transform techniques were employed for computing time-domain results. A validation for the numerical modelling is provided by laboratory experiments on a reduced scale model of the system. Apart from ascertaining the influence of various parameters, salient characteristics of tower base currents for different kinds of events are deduced. This knowledge can be used in identifying the type of event, as well as its approximate location. A method for estimation of injected stroke current has also been proposed.     

闪电物理

闪电物理研究的重点是地闪的研究，地闪的物理过程包括云中起闪过程，闪电传播过程及接地过程，在较大范围的云中强电场区内，两雨滴掠过碰撞形成的细丝顶端产生的电晕或冰类痧汽凝结物表面的电晕可能触发闪电；闪电在空气中的传输过程就是先导从电晕向电弧的转化过程；闪电落地过程的核心是上迎先导的形成及与下行先导的连接，闪电物理研究的重点在闪电落地过程，并应与雷电防护研究结合起来进行。     

The Principles of Developing the Ball Lightning Theory

Criteria for developing the ball lightning theory based on the results of observations are analyzed. It is assumed that the key features of ball lightning are a large energy (more than 10⁶ J) and long lifetime (more than 1 s). We exclude from consideration theories which do not explain these features and concentrate our attention on the analysis of three models where the large energy of the autonomous ball lightning and the forces providing the compression of the ball lightning substance are taken into account. The first considered model was developed by Geert Dijkhuis, in which the appearance of a force directed towards the system center is attributed to the Bose condensation of vortices of degenerated electrons as well as to gradient forces arising due to a nonuniform distribution of the electron density over the ball lightning volume. The second model proposed by Vladimir Bychkov assumed that the energy reservoir of ball lightning is polymer threads carrying a big electric charge. Our model assumes that the energy is stored in the form of kinetic energy of ions which the positively charged core of ball lightning is thought to consist of. The core is compressed by a dielectric shell which, in turn, is shrunk by the force created due to the nonuniform electric field of the core. The merits and limitations of these and other models are discussed.     

斜向通道雷电电磁场远场近似特性

为了使雷电电磁场的计算更加接近实际情况,并对远场区雷电电磁脉冲场进行模拟,利用偶极子理论对斜向放电通道雷电电磁场解析表达式进行了求解,用解析方法对地表雷电电磁场及其导数在远场区的一阶、二阶近似表达式进行了推导,得到了电磁场及其导数与通道底部电流及其导数的远场近似关系。采用脉冲函数表示通道基电流,对比了精确表达式与近似表达式计算的电磁场及其导数波形。结果表明在远场区,斜向通道雷电电磁场波形与其近似波形的偏差、电磁场导数波形与其近似导数波形之间的偏差均随着距离的增加而减小,且电磁场导数近似公式要比电磁场近似公式适用范围更加广泛。计算结果验证了解析推导近似的可行性。     

斜向通道雷电电磁场远场近似特性

为了使雷电电磁场的计算更加接近实际情况,并对远场区雷电电磁脉冲场进行模拟,利用偶极子理论对斜向放电通道雷电电磁场解析表达式进行了求解,用解析方法对地表雷电电磁场及其导数在远场区的一阶、二阶近似表达式进行了推导,得到了电磁场及其导数与通道底部电流及其导数的远场近似关系。采用脉冲函数表示通道基电流,对比了精确表达式与近似表达式计算的电磁场及其导数波形。结果表明在远场区,斜向通道雷电电磁场波形与其近似波形的偏差、电磁场导数波形与其近似导数波形之间的偏差均随着距离的增加而减小,且电磁场导数近似公式要比电磁场近似公式适用范围更加广泛。计算结果验证了解析推导近似的可行性。     

轨道炮速度趋肤效应的分析与仿真

根据Maxwell方程推导出电磁场参数与速度之间的关系,建立了直角坐标下的电磁场和温度场扩散2维偏微分方程, 分析了固体电枢电磁轨道炮的速度趋肤效应。以矩形固体电枢为例,给出了边界条件和激励源函数。采用有限差分法对方程进行求解,并对数据进行了分析,得到轨道和电枢中磁感应强度、温度和电流密度的分布曲线。计算结果表明:电枢的运动使得电流密度集中在电枢和轨道交界面的尾部,使得该局部地区温度增加,进而引起电枢尾部的熔融与烧蚀。     

轨道炮速度趋肤效应的分析与仿真

 根据Maxwell方程推导出电磁场参数与速度之间的关系,建立了直角坐标下的电磁场和温度场扩散2维偏微分方程, 分析了固体电枢电磁轨道炮的速度趋肤效应。以矩形固体电枢为例,给出了边界条件和激励源函数。采用有限差分法对方程进行求解,并对数据进行了分析,得到轨道和电枢中磁感应强度、温度和电流密度的分布曲线。计算结果表明:电枢的运动使得电流密度集中在电枢和轨道交界面的尾部,使得该局部地区温度增加,进而引起电枢尾部的熔融与烧蚀。     

Vacuum local and global electromagnetic self-energies for a point-like and an extended field source

We consider the electric and magnetic energy densities (or equivalently field fluctuations) in the space around a point-like field source in its ground state, after having subtracted the spatially uniform zero-point energy terms, and discuss the problem of their singular behavior at the source’s position. We show that the assumption of a point-like source leads, for a simple Hamiltonian model of the interaction of the source with the electromagnetic radiation field, to a divergence of the renormalized electric and magnetic energy density at the position of the source. We analyze in detail the mathematical structure of such a singularity in terms of a delta function and its derivatives. We also show that an appropriate consideration of these singular terms solves an apparent inconsistency between the total field energy and the space integral of its density. Thus the finite field energy stored in these singular terms gives an important contribution to the self-energy of the source. We then consider the case of an extended source, smeared out over a finite volume and described by an appropriate form factor. We show that in this case all divergences in local quantities such as the electric and the magnetic energy density, as well as any inconsistency between global and space-integrated local self-energies, disappear.     

电力线谐波辐射在分层各向异性电离层中的传播特点

电力线谐波辐射特指在电离层或磁层中观测到的来源于地面电力系统输电线的电磁波辐射, 其在电磁场时频功率谱中表现为400 Hz至5 kHz范围内, 频率间隔为50/100 Hz或60/120 Hz 的平行谱线, 已成为近地空间环境的一种人为污染源. 对于该现象的形成机理尚缺乏定量研究. 本文研究了非理想导电大地上方由电偶极子源产生的电磁场在分层各向异性电离层中的传播模型, 提出了一种新的求解方法, 有效解决了编程计算中的数值溢出问题, 并利用已有解析解对所提方法进行了验证. 在此基础上, 利用实际电力线、大地、电离层的相关参数, 研究了偶极子源频率、电离层下边界高度、大地电导率、地磁场方向等对电力线谐波辐射在电离层中的传播的影响. 结果表明, 频率等于地-电离层波导导波模截止频率时透入电离层的电力线谐波辐射强度更大; 谐波电流一定时, 大地电导率小的地区, 电力线谐波辐射的功率更大; 电力线谐波辐射在电离层中沿地磁场方向传播. 本文所得结果有益于阐释电力线谐波辐射现象的形成机理.     

非傍轴双曲余弦-高斯脉冲电磁光束远场特性

利用矢量瑞利-索末菲衍射积分公式,推导出了非傍轴部分空间相干部分光谱相干双曲余弦-高斯(ChG)脉冲电磁光束在自由空间传输时交叉谱密度矩阵的远场解析公式,并用来表示脉冲电磁光束的光谱密度(光强)和偏振度。结果表明,对非傍轴远场部分空间相干部分光谱相干ChG脉冲电磁光束,其非傍轴性主要由参数f, f决定,而离心参数、脉冲宽度和时间相干长度影响其非傍轴行为。非傍轴部分空间相干部分光谱相干高斯-谢尔模型脉冲电磁光束的远场传输可作为特例处理。     

非傍轴双曲余弦-高斯脉冲电磁光束远场特性

利用矢量瑞利-索末菲衍射积分公式,推导出了非傍轴部分空间相干部分光谱相干双曲余弦-高斯(ChG)脉冲电磁光束在自由空间传输时交叉谱密度矩阵的远场解析公式,并用来表示脉冲电磁光束的光谱密度(光强)和偏振度。结果表明,对非傍轴远场部分空间相干部分光谱相干ChG脉冲电磁光束,其非傍轴性主要由参数f, f决定,而离心参数、脉冲宽度和时间相干长度影响其非傍轴行为。非傍轴部分空间相干部分光谱相干高斯-谢尔模型脉冲电磁光束的远场传输可作为特例处理。     

雪层覆盖地面电磁散射的矩量法

为实现分层介质粗糙面电磁散射的矩量法研究,给出一种分层介质粗糙面电磁积分方程的区域分解方法.将格林定理应用于粗糙面所分的各子空间,结合波动方程和格林函数推导分层粗糙面的电磁积分方程,利用矩量法对其进行离散,数值计算得到雪层覆盖地面散射系数的角分布曲线,其中,粗糙表面由一维带限Weierstrass分形谱和Monte Carlo方法模拟.通过与时域有限差分法数值结果的比对,验证该方法的准确性,并分析散射系数随雪和地面参数、介质参数以及入射波参数的变化,获得了较完整的散射特征.