FDTD Analysis of Electromagnetic Reflection by Conductive Plane Covered with Magnetized Inhomogeneous Plasmas

A novel finite-difference time-domain (FDTD) methodology which incorporates both anisotropy and frequency dispersion at the same time is developed for electromagnetic wave propagation in anisotropic magnetoactive plasmas in this paper. The numerical verification of the method are confirmed by computing the reflection and transmission of right-handed/left-handed circularly polarized (RCP/LCP) wave through a magnetized plasma layer, with the direction of propagation parallel to the direction of the biasing field. And, the right-handed / left-handed polarized wave reflection coefficients for electromagnetic signals normally incident upon a conductive plane covered with a layer of magnetized plasma are computed using the new FDTD method. The parabolic electron-number density profile varies only in the direction perpendicular to the plane. The function dependence of reflection coefficients on the number density, collision frequency and external magnetic field is studied.     

FDTD Simulation of Electromagnetic Reflection of Conductive Plane Covered with Imhomogeneous Time-Varying Plasma

A finite-difference time-domain (FDTD) algorithm is applied to study the electromagnetic reflection of conduction plane covered with inhomogeneous, collision, warm, time-varying plasma. The collision frequency of plasma is a function of electron density and plasma temperature. Under the one-dimensional case, transient electromagnetic propagation through various plasmas have been obtained, and the reflection coefficient of EM wave through inhomogeneous time-varying plasma (ITVP), homogeneous time-varying plasma (HTVP) and inhomogeneous plasma (IP) are calculated under different conditions. The results illustrate that a plasma cloaking system can successfully absorb the incident EM wave.     

Electromagnetic Reflection from Conductive Plate Coated with Nonuniform Plasma

Based on the theories of electromagnetic (EM) field and generalized reflection coefficient, a simple method is put forward to deal with the EM reflection coefficient of conductive plate coated with nonuniform plasma. The plasma slab is modeled by a series of subslabs, in which the electron-number density is assumed to be constant. The overall number density profile across the whole slab follows any practical distribution function. The reflection coefficient is then deduced and its functional dependence on the number density, incident wave frequency, collision frequency, and background magnetic field is discussed.     

磁化非均匀等离子体中模转换机制对电磁波吸收的数值研究

用数值方法研究磁化非均匀等离子体(磁场与密度梯度垂直)中模转换机制对p极化电磁波的吸收效应,重点考虑磁场对吸收率的影响,结果表明:与非磁化等离子体相比,磁场的加入使得吸收率曲线相对入射角的分布发生小的偏移,吸收率为零的位置不是发生在零度入射(即垂直入射)时.而是在一个负的入射角位置,垂直入射时有不为零的吸收率,且正角度范围与负角度范围的峰值吸收率不相等,磁场提高了正入射角范围内的峰值吸收率而降低了负角度范围内的峰值吸收率(或反过来,这取决于磁场方向).     

FDTD Analysis of Magnetized Plasma with Arbitrary Magnetic Declination

In this paper, the frequency-dependent finite-difference time-domain (FDTD) method employing the piecewise linear recursive convolution (PLRC) scheme is applied to the numerical analysis of magnetized plasma with arbitrary magnetic declination. The PLRC-FDTD equations are derived in detail and are checked through practical examples. Excellent agreement between the numerical results and the exact analytical solutions is demonstrated.     

Faraday Rotation of Overdense Magnetized Plasma

In this study, we investigate Faraday rotation of electromagnetic waves that are anomalously transmitted through an over‐dense magnetized plasma layer. Here, magnetized plasma indicates that the plasma layer is immersed in a uniform magnetic field. Firstly, normally opaque over‐dense magnetized plasma is shown to be transparent to obliquely incident electromagnetic waves. This high transparency can be achieved by providing conditions for resonant excitations of plasmonic modes. The resonant characteristics of the transmission coefficient of the considered structure are determined and discussed. The conditions under which the magnetized plasma behaves as a complete reflector are also obtained. Faraday rotation is shown to be enhanced under high transparency conditions. The reflected wave also exhibits Faraday rotation and is enhanced under total reflection conditions. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

SO-FDTD Analysis on Magnetized Plasma

In this paper, a novel finite-difference time-domain (FDTD) method with recursive relationships among operators is developed for magnetized dispersive medium, named as the shift operator FDTD(SO-FDTD). The dielectric property of magnetized dispersive medium is written as rational polynomial function, the relationship between D and E is deduced in time-domain. And its high accuracy and efficiency are verified by calculating the reflection and transmission coefficients of electromagnetic waves through a collision plasma slab.     

一种高效计算各向异性磁化等离子体的时域有限差分算法

利用电流密度和电场强度的卷积关系,引入电流密度和电场强度分段线性近似,导出一种适合各向异性磁化等离子体介质的FDTD算法的计算公式.计算各向异性碰撞磁化等离子体平板对平行于磁场传播的电磁波的反射和透射系数,与解析结果比较,验证该算法的高效性和高精度,与电流密度卷积(JEC)算法和分段线性电流密度卷积(PLCDRC)算法相比,计算精度及计算效率显著提高.此外,用该算法验证了法拉第旋转效应.     

Collective Scattering of Electromagnetic Waves from a Relativistic Magnetized Plasma

Recently, laser and microwave scatterings have become one of the important diagnostic means for plasma. Laser and microwave correlative scattering spectrum is determined by particle-density fluctuations in a weak turbulent plasma. In a relativistic plasma, on the basis of complete electromagnetic interaction between particles, a general expression for particle density fluctuations and spectra of laser and microwave scattering from a magnetized plasma are derived. The laser and microwave scattering spectra provide information on electron density and temperature, ion temperature, resonance and nonresonance effects.     

Reflection and Transmission of Extraordinary Waves in an Inhomogeneous Magnetized Plasma I. Infinite Plasma

By retaining higher order terms in analysis, a more accurate expression for the reflection and transmission coefficients of an extraordinary wave propagating perpendicular to a static magnetic field through an infinite warm plasma is obtained. The result is compared with previous analytical and numerical results, the latter obtained by an integral equation method. In addition to occurring at resonances, the total reflection of the extraordinary wave is shown to also occur at anti-resonances with a standing wave of larger amplitude.     

FDTD Simulation of Electromagnetic Propagation in Magnetized Plasma Using Z Transforms

The electromagnetic propagation through a magnetized plasma slab is studied using the finite-difference time-domain method by means of the z transform The reflection and transmission coefficients of the magnetoactive plasma for the right-hand circularly polarized wave are presented. The comparison of the results of the Z transform and recursive convolution algorithms with analytic values indicates that the Z transform algorithm is more accurate than the recursive convolution algorithm. The Z transform algorithm overcomes the drawback that the recursive algorithm cannot predict the transmission coefficient of the magnetized plasma slab for the right-hand circularly polarized wave in the stop band.     

Reflection and Transmission of Extraordinary Waves in an Inhomogeneous Magnetized Plasma II. Thin Plasma Slab

A more accurate analytical expression for the reflection and transmission coefficients of an extraordinary wave incident upon a thin finite plasma slab perpendicular to a static magnetic field is obtained. The analytical result is compared with that obtained by the numerical method and with that of earlier experimental observations. The effect of small collisional damping on mode conversion, particularly at antiresonance is also discussed.     

电磁波在磁化等离子体中传播的时域有限差分模拟

基于Z变换形式的时域有限差分法计算公式,模拟了传播方向垂直于磁化磁场的电磁波在磁化等离子体层中的传播.通过离散傅立叶变换,给出了电磁波通过均匀和非均匀磁化等离子体后的反射系数和透射系数随频率的变化关系.还给出了电磁波经过均匀磁化等离子体层后的反射和透射系数和理论值的对比.     

Calculation of the Effect on the Reflection of the Plane Electromagnetic Wave for Non-Magnetized Plasma with Different Electron Density Distributions

In this paper, shift operator finite-difference time-domain (SO-FDTD) method is applied for the calculation of the dispersive medium. The high efficiency and accuracy of this method is verified by calculating the reflection of the plane electromagnetic wave impinging on a non-magnetized plasma slab with different electron density distributions. The results show that the average electron density only determines overall trends of the reflection, and different distributions affect the oscillating process of the reflection. If the average electron density maintains the same, the distribution of electron density with homogenous or inhomogeneous alternation will sharply take effects on the reflection. And magnitude of alternation of electron density affects the incident frequency directly when the reflection tends to uniform.     

电磁波在等离子体中的非线性吸收衰减

研究平面电磁波在等离子体中的非线性吸收衰减.首先应用电磁波在等离子体中传播的极化理论得到非线性介电函数,进而求出了考虑非线性情况下的波矢.采用垂直入射具有金属衬底的均匀等离子体模型,对不同入射频率的电磁波的衰减以及总出入射功率比进行了数值模拟.与只考虑线性情况的结果作了比较,结果显示非线性项在研究过程中所起的作用是不可忽视的.     

Effect of Second Nonthermal Ion on the Characteristics of Dust Acoustic Solitary Waves in a Magnetized Dusty Plasma with Variable Dust Charge

The nonlinear dust acoustic solitary waves in a magnetized dusty plasma with nonthermal ions and variable dust electric charge is studied analytically. Using reductive perturbation method the Zakharov‐Kuznetsov (ZK) equation is derived and effect of nonthermal coefficient, external magnetic field, and variable dust electric charge on the amplitude and width of soliton in dusty plasma is investigated. With increasing the rate of dust charge variation with respect of plasma potential, the amplitude of generated solitary waves in magnetized dusty plasma increases to a constant magnitude while its width decreases. Increasing the nonthermal ions coefficient leads to a noticeable decrease in the amplitude of solitons while the width of soliton increases. The amplitude of generated solitary waves in such a dusty plasma is independent of applied external magnetic field but we will have more localized solitons with increasing the external magnetic field strength. It is found that solitons are strongly influenced by the direction of external magnetic field. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

金属平板覆盖负折射率媒质的电磁波反射系数的PLRC-FDTD分析

 推导了负折射率媒质中的FDTD分段线性递归卷积(PLRC)计算式,并将PLRC-FDTD方法用于仿真电磁波与负折射率媒质的相互作用, 计算了金属平板覆盖负折射率媒质层对垂直入射电磁波的反射系数。数值结果表明：负折射率媒质包层可以极大地减少目标的电磁回波能量,碰撞频率越大,振荡频率越小,其吸波性能越好;负折射率媒质碰撞频率、振荡频率及其分布形式是影响反射系数的重要因素。     

On the Interaction of an Alternating Electrical Field with an Inhomogeneous Magnetized Plasma

It is found out the form of the vectorial and isotropic cartesian component for the distribution function for electrons in an inhomogeneous plasma interacting with an alternative electric field, without being done any previous supposition on the temporal dependence of these quantities. For this purpose it is applied a method of succesive approximations for solving an integro-differential equation for the isotropic component of the distribution function. The scalar and vector components of the plasma spherical harmonic expansion are calculated including transient and secular terms. Some particular quantities as time-independent part of vectorial component of distribution function and of nonlinear conductivity were also obtained. Also corrected expressions for the transport coefficients in a electrical field, are obtained.     

截断磁等离子体三维M-NPML吸收边界条件

研究三维截断磁化等离子体介质新型完全匹配层(NPML)吸收边界条件(ABC),提出应用于截断色散介质修正的M-NPML,该方法根据NPML坐标变换原理,对麦克斯韦方程中对空间偏导的变量进行坐标拉伸,得到在NPML吸收边界中修正的麦克斯韦方程组.该吸收边界只把对空间偏导的变量进行坐标拉伸,操作简单,避免了PML方法在截断普通介质时采用复杂的场分裂形式,同时比单轴各向异性完全匹配层(UPML)吸收边界截断磁化等离子体介质更加简单,编程复杂度大大降低.算例仿真结果与解析解相符,证实了该算法的有效性.