用傅里叶分析法研究艾里光束远场传播特性

为了从理论上深入分析新型无衍射光束艾里光束在有限能量条件下的远场传播特性,首先,从决定光波在自由空间传播的一维旁轴波动方程入手,采用傅里叶分析法,结合艾里函数的特殊性质,并利用经过指数衰减的有限能量初始条件,完整给出了有限能量条件下用于精确描述一维艾里光束在自由空间传播特性的波动方程解析解.然后,利用所得到解析解分别对一维和二维艾里光束在自由空间的传播特性进行了研究,重点分析了不同参量条件对艾里光束进行无衍射传播和横向自加速的影响.研究表明:当任意横向尺度为100μm,衰减系数为0.03、0.05、0.07、0.1、0.2时,二维艾里光束无衍射传播距离分别为1 014、624、455、338、193mm;当横向尺度保持不变时,衰减系数越小,艾里光束保持无衍射传播的距离越大;当衰减系数保持不变时,横向尺度越小,艾里光束横向自加速越大.所采用的研究方法也可用于研究艾里光束在介质中的传播特性.     

Models of defibrillation of cardiac tissue

Heterogeneities, such as gap junctions, defects in periodical cellular lattices, intercellular clefts and fiber curvature allow one to understand the effect of an electric field in cardiac tissue. They induce membrane potential variations even in the bulk of the myocardium, with a characteristic sawtooth shape. The sawtooth potential, induced by heterogeneities at large scales (tissue strands) can be more easily observed, and lead to stronger effects than the one induced at the cellular level. In the generic model of propagation in cardiac tissue (FitzHugh), 4 mechanisms of defibrillation were found, two mechanisms based on excitation (E(A),E(M)), and two-on de-excitation (D(A),D(M)). The lowest electric field is required by an E(M) mechanism. In the Beeler-Reuter ionic model, mechanism D(M) is impossible. We critically review the experimental basis of the theory and propose new experiments. (c) 1998 American Institute of Physics.     

利用光学方法研究单针射流等离子体的产生和发展机制

对单针电极射流等离子体产生和发展过程中的光信号进行了研究。首先发现等离子体的长度并不是随外加电压升高而增加,而是和驱动电源的能量在正半周放电脉冲之间的分配有关。通过研究等离子体通道内不同位置的发光信号,发现正半周期第一次放电脉冲是在针尖电极处产生,而第二个脉冲是在等离子体通道中部产生,电子激发温度也是在等离子体中部达到最高。通过分析发现,空间电荷产生的附加电场对于等离子体的产生和发展有着重大影响。     

Mechanisms of defibrillation by standing waves in the bidomain ventricular tissue with voltage applied in an external bath

Standing waves of depolarisation produced by periodic low-voltage driving eliminate propagation activity in the heart, thus providing a defibrillating effect. The phenomenon cannot be reproduced by mono- or bidomain models of cardiac tissue, where voltage perturbations decay exponentially with a space constant λ₁≈1 mm. Extension of the bidomain model taking into account effects of the external bathing medium allows simulation of the standing waves which eliminate spiral wave activity in the tissue. Mechanisms of such a defibrillating effect can be explained by the existence of an additional, unusually long space constant, λ₂≈20 mm, in the bidomain model with a bath, which emerges due to redistribution of the applied voltage by the external conductive medium.     

Field propagation phenomena in ultra high field NMR: a Maxwell-Bloch formulation

The principal advantage of NMR at high field is the concomitant increase in signal-to-noise ratio (SNR). This can be traded for improved spatial resolution and combined with parallel imaging to achieve higher temporal resolution. At high field strength, the RF-wavelength and the dimension of the human body complicate the development of NMR coils. For example, at 7 T, the wavelength in free space corresponds to about 1m. The dielectric constant in tissue with a high water content can be as high as 70 and at a larmor frequency of 300 MHz, this corresponds to a wavelength inside tissue of less than 15 cm. The operating wavelength is thus comparable to the diameter of most body parts. To this end, both temporal and spatial variations of the excitation field must be taken into account in addition to the expected increase in conductivity. For all these reasons, we find the propagation of radiation at ultra high fields (>4 T) new phenomena commonly observed in quantum optics but traditionally negligible in NMR such as phase modulation of the excitation field such that the identity between pulse area and flip angle is no longer valid. In this paper, the emergence of field propagation phenomena in NMR experiments is analytically and numerically demonstrated. It is shown that in addition to the well-studied dielectric resonance phenomena at high magnetic fields (>4 T), field propagation effects transform the excitation pulse into an adiabatic excitation. The high field strength also mean that nonlinear effects such as self-induced transparency are now possible in NMR experiments.     

Intermediate behavior of Kerr tails

The numerical investigation of wave propagation in the asymptotic domain of Kerr spacetime has only recently been possible thanks to the construction of suitable hyperboloidal coordinates. The asymptotics revealed an apparent puzzle in the decay rates of scalar fields: the late-time rates seemed to depend on whether finite distance observers are in the strong field domain or far away from the rotating black hole, an apparent phenomenon dubbed ‘splitting.’ We discuss far-field ‘splitting’ in the full field and near-horizon ‘splitting’ in certain projected modes using horizon-penetrating, hyperboloidal coordinates. For either case we propose an explanation to the cause of the ‘splitting’ behavior, and we determine uniquely decay rates that previous studies found to be ambiguous or immeasurable. The far-field ‘splitting’ is explained by competition between projected modes. The near-horizon ‘splitting’ is due to excitation of lower multipole modes that back excite the multipole mode for which ‘splitting’ is observed. In both cases ‘splitting’ is an intermediate effect, such that asymptotically in time strong field rates are valid at all finite distances. At any finite time, however, there are three domains with different decay rates whose boundaries move outwards during evolution. We then propose a formula for the decay rate of tails that takes into account the inter-mode excitation effect that we study.     

Arbitrary laser beam propagation in free space

The propagation of arbitrary laser beams in free space is examined. For this purpose, starting with an incident field of arbitrary field distribution, the intensity at the receiver plane is formulated via Huygens Fresnel diffraction integral. Arbitrary source field profile is produced by decomposing the source into incremental areas (pixels). The received field through the propagation in free space is found by superposing the contributions from all source incremental areas. The proposed method enables us to evaluate the received intensity originating from any type of source field. Using the arbitrary beam excitation, intensity of various laser beams such as cos-Gaussian, cosh-Gaussian, general type beams are checked to be consistent with the already existing results in literature, and the received intensity distributions are obtained for some original arbitrary beam field profiles. Our received intensity formulation for the arbitrary source field profiles presented in this paper can find application in optics communication links, reflection from rough surfaces, optical cryptography and optical imaging systems.     

Modelling of corona discharge in cylinder-wire-plate electrode configuration

Numerical computation of the electric field strength and ionic space charge density in electrode systems consisting of ionizing wire and non-ionizing cylinder, connected to the same DC high-voltage supply and facing a grounded plate, is a difficult problem, which is of interest to several electrostatic processes applications. In a previous study a simple numerical method has been proposed to calculate the spatial distributions of electric field and ionic space charge in a case of a continuum and uniform corona discharge originating at the surface of the wire. The aim of the present paper is to improve the physical model of the corona discharge in this particular electrode configuration, by assuming a more realistic law of charge injection on the wire circumference. The computations were carried out for an ionizing wire of radius r=0.1 mm, located at different distances h from a metallic tubular support of radius R=13.4 mm.The initial conditions of the corona discharge took into account the non-uniformity of the charge injection around the ionizing wire electrode. The computational results were compared with those obtained under the assumption of uniform corona discharge. The comparison pointed out that neither the non-uniformity of the electric field nor that of the charge injection can be neglected. They depend on the geometry of the electrode system and affect the distribution of the electric field and of the space charge density in the inter-electrode gap.     

The induction of reentry in cardiac tissue. The missing link: How electric fields alter transmembrane potential

This review examines the initiation of reentry in cardiac muscle by strong electric shocks. Specifically, it concentrates on the mechanisms by which electric shocks change the transmembrane potential of the cardiac membrane and create the physiological substrate required by the critical point theory for the initiation of rotors. The mechanisms examined include (1) direct polarization of the tissue by the stimulating current, as described by the one-dimensional cable model and its two- and three-dimensional extensions, (2) the presence of virtual anodes and cathodes, as described by the bidomain model with unequal anisotropy ratios of the intra- and extracellular spaces, (3) polarization of the tissue due to changing orientation of cardiac fibers, and (4) polarization of individual cells or groups of cells by the electric field ("sawtooth potential"). The importance of these mechanisms in the initiation of reentry is examined in two case studies: the induction of rotors using successive stimulation with a unipolar electrode, and the induction of rotors using cross-field stimulation. These cases reveal that the mechanism by which a unipolar stimulation induces arrhythmias can be explained in the framework of the bidomain model with unequal anisotropy ratios. In contrast, none of the examined mechanisms provide an adequate explanation for the induction of rotors by cross-field stimulation. Hence, this study emphasizes the need for further experimental and theoretical work directed toward explaining the mechanism of field stimulation. (c) 1998 American Institute of Physics.     

Mean field of a low-frequency sound wave propagating in a fluctuating ocean

Statistical characteristics of low-frequency sound waves propagating over long distances in a fluctuating ocean are important for many practical problems. In this paper, using the theory of multiple scattering, the mean field of a low-frequency sound wave was analytically calculated. In these calculations, the ratio of the sound wavelength and the scale of random inhomogeneities can be arbitrary. Furthermore, the correlation function of inhomogeneities is expressed in terms of a modal spectrum (e.g., internal waves modes). The obtained mean sound field is expressed as a sum of normal modes that attenuate exponentially. It is shown that the extinction coefficients of the modes are linearly related to the spectrum of random inhomogeneities in the ocean. Measurements of the extinction coefficients can therefore be used for retrieving this spectrum. The mean sound field is calculated for both 3D and 2D geometries of sound propagation. The results obtained can be used to study the range of applicability of the 2D propagation model.     

Electrically controlled transfer of spin angular momentum of light in an optically active medium

Spin is an intrinsic property of the photon. A method for using an externally applied dc electric field to manipulate the transfer of spin angular momentum of light in an optically active medium is presented. To discuss this, we first develop a wave coupling theory of the mutual action of natural optical activity and the linear electro-optic effect. Besides being used for analyzing the electrically controlled transfer of spin angular momentum of light, the theory can also be used to describe the propagation of light traveling along an arbitrary direction in any optically active medium with an external dc electric field along an arbitrary direction.     

(ZnSe)_(12)在外电场下的基态性质和激发特性研究

以SBKJC为基组,采用密度泛函PBE0方法研究了不同外电场(0-0.030 a.u.)对(ZnSe)_(12)的基态几何结构、电荷分布、能量、电偶极矩、能隙、最小振动频率的影响;继而采用含时的TD-PBE0方法研究了(ZnSe)_(12)在外电场下的激发特性,并模拟了紫外-可见光谱.研究结果表明:外电场的加入导致分子对称性降低,当电场从0 a.u.变化到0.030 a.u.时,偶极矩逐渐增加,体系总能量、最小谐振频率和能隙一直减小.外电场对(ZnSe)_(12)的激发特性影响较大,随着电场的增加,紫外-可见光谱发生红移,同时对振子强度有很大影响,原来振子强度不为零的激发态变弱或成为禁阻跃迁,而原来振子强度很弱或禁阻的激发态变得很强.可以通过改变外电场来改变(ZnSe)_(12)的基态性质,以及控制(ZnSe)_(12)的吸收和发光特性.     

非对称电极表面微观形貌对交流电渗流速的影响

经典交流电渗理论是利用电场进行非机械式微流体驱动的基础.传统理论交流电渗理论以双电层理论为基础,通过耦合电场方程以及流场方程得到微电极表面交流电渗流速表达式,通常与实验流速相差较大. 以电极表面微观形貌对交流电渗流速的影响为研究目标,定义微电极表面粗糙度为微观形貌特征参数,建立了等效双电层模型,并对传统交流电渗流速公式进行了修正.理论并仿真分析了表面粗糙度对于交流电渗流速的影响,利用非对称电极对交流电渗微流体驱动进行了实验研究,并进行对比分析.结果表明,理论分析与实验结果具有较好的一致性. 关键词： 交流电渗 电极表面粗糙度 等效双电层     

Deceleration and acceleration of fast electrons in a dense gas in an electric field

The propagation of electrons in a gas at energies higher than the excitation energy of the K shell of the gas atoms is simulated numerically. Calculations show that, without a field, the penetration depth of the electrons into a gas heavier than nitrogen is limited primarily by their elastic collisions with atomic nuclei. For electrons moving in an electric field, the effect of elastic collisions is that there is no definite electric field strength above which an electron with a given energy will be continuously accelerated. Even in an electric field much stronger than the critical one, only a fraction of electrons are accelerated. The remaining electrons turn back due to elastic collisions and lose their energy in deceleration by the field. In this case, the propagation velocity of the centroid of the electrons tends to a constant value.     

One model of electric conduction and electric field distributions in a liquid insulator

The electric properties of the liquid insulator have been studied in this work. We have described the time-dependent model of the conduction processes in the liquid insulator under high voltages. Our model is a generalization of the Frenkel conduction model. (The last deals only with stationary conduction processes). Calculation of the electric field has also been made for two types of problems: (1) the external electric field applied to a liquid, is created by plane electrodes. (2) A spherical electrode of a small size creates it. The electrodes are assumed to be under constant high voltage. There is no electron emission or ion injection from the electrodes. But the field intensity influences on the molecular dissociation rate, and this fact has been taken into account. We have shown that the space charge, which arises under conditions mentioned above gives rise to changes in the electric field distribution. The model on hand is also used for calculating the hydrodynamic phenomena under high non-uniform electric field intensities. It has also been shown that the velocity of the strong EHD flows is proportional to the value of direct current or the squared value of applied voltage.     

Radiation of scalar waves by the discontinuities in the antenna geometries

The electrical scalar potential satisfies the Helmholtz equation for time-harmonic waves and Aharonov-Bohm showed that the electromagnetic potentials have physical reality. For these reasons, the scalar potential represents scalar wave propagation in space. The gradient of the scalar wave leads to the electric field intensity, but it does not create the magnetic field. The criteria for the radiation of the scalar waves are studied on various linear antennas. The radiation integrals of the antennas are evaluated asymptotically by taking into account the edge effects. The radiation diagrams are plotted numerically and the phase velocities of the scalar waves are investigated in the near field.     

Experimental observation of negative differential characteristic of corona discharge in ultraviolet spectrum

Corona discharge is a self-sustained discharge which appears at electrodes with a small radius curvature in gas insulation. An almost invisible glow occurs just above the inception voltage. Corona phenomenon is mainly used in electro-technological processes to obtain space charge for electrostatic precipitation, separation of different particles, electrostatic liquid or solid coating, neutralization of space charge, etc. All of these processes rely on a strong nonhomogeneous electric field generated by a point – plate electrode system. When the critical value of the applied voltage is reached, the ionization processes near the point electrode start and give rise to the current between two electrodes. If the pointed electrode is positive, it is possible to observe an anomaly of the current – voltage (I-U) characteristic for the point-plate space. It means that while the voltage is raising the current density decreases in a narrow voltage area (2–3 kV). The anomaly was technically named as negative differential conductivity (dI/dU < 0). Unstable current can have a negative influence on electro-technological processes. The anomaly was detected for different shapes and materials of the electrode as well as for various temperatures and distances between electrodes. An oxidation layer, which appears on the metal electrode, also influences the ionization processes near the pointed electrode and causes a decrease of a current. In this paper measuring of the discharge activity in a point – plate electrode system is presented. Ionization of gas atoms and molecules in a high electric field and the following recombination of electrons and positive ions in the corona region can give rise to high-energy photons which produce new electrons in the field of discharge. Corona discharges are detected by DayCor Corona camera which can register UV emission generated by corona in a day light. The experiment was conducted with various shapes of the pointed electrode and distances between the high voltage and the grounded electrode under applied direct voltage with positive and negative polarity.     

Propagation of three-dimensional extremely short optical pulses in germanene in the presence of an external electric field

Specificities of propagation of three-dimensional extremely short optical pulses in germanene are determined taking into account a constant external electric field. This field has had a significant impact on the evolution of an extremely short pulse in this structure.     

螺旋槽回旋行波管高频特性分析

 在Foulds等人对螺旋槽结构进行深入分析的基础上,考虑了槽区内高次模式对慢波结构高频特性的影响。结果表明：槽宽较小时,结论与其结论吻合较好; 槽宽较大时,计算结果与其有较大差别。此外,讨论了螺旋槽结构参数对高频特性的影响,结果表明：除槽宽外的其它结构参数固定时,存在一个最佳的δ/L值,可以获得较弱的色散和较大的横向场幅值,适合做回旋行波管互作用结构。     

心脏磁场分布电流源重构及其精度分析

用测量到的心脏磁场信号重构其电流源是一种无创揭示心脏电活动的方法. 心脏电活动的时空信息可视化, 将有助于心脏功能的研究和心脏疾病诊断. 本文通过仿真实验研究了一种减时窗波束形成器对分布时变电流源的重构能力, 以及源重构结果与心室兴奋传播的关系. 采用元胞自动机模拟心室的兴奋传播, 产生分布随时间变化的电流源, 并用边界元法构建了一个心脏-躯干模型, 模拟体电导的作用. 仿真结果表明, 这种减时窗波束形成器能够重构分布时变电流源, 并达到较好的精度. 将该方法和无穷大均匀介质导联矩阵用于一例正常人的心脏磁场信号分析, 其结果可以反映心室兴奋传播的基本特征. 关键词： 心磁图 源重构 边界元 波束形成器