螺旋带行波管耦合磁导纳的计算

通过对螺旋带行波管带上表面电流的Chebyshev展开,得出了色散关系,求出了电场分量和磁场分量的表达式,进而求得了耦合阻抗和耦合磁导纳。计算并分析了一个典型结构的纵向电磁场分量,由这些分量得出的耦合阻抗与Chernin等的结果有很好的一致性,说明了电场表达式的有效性。场表达式可应用于３维行波管CAD的程序编写,耦合磁导纳的计算程序更是行波管CAD不可缺少的部分。     

螺旋带行波管耦合磁导纳的计算

 通过对螺旋带行波管带上表面电流的Chebyshev展开,得出了色散关系,求出了电场分量和磁场分量的表达式,进而求得了耦合阻抗和耦合磁导纳。计算并分析了一个典型结构的纵向电磁场分量,由这些分量得出的耦合阻抗与Chernin等的结果有很好的一致性,说明了电场表达式的有效性。场表达式可应用于３维行波管CAD的程序编写,耦合磁导纳的计算程序更是行波管CAD不可缺少的部分。     

基于行波管螺旋导电面模型的空间电荷场研究

通过分析行波管螺旋导电面模型中的电磁场，给出了色散和耦合阻抗计算公式，并深入研究了非线性理论中的空间电荷降低因子.结果表明，螺旋导电面模型相对理想导电圆筒中的空间电荷降低因子在较高频段变化不大.空间电荷降低因子的变化反映了螺旋线外电磁场对电子注的作用，同样的慢波结构，较高频率的电磁场应有较大的影响.因此，使用螺旋导电面模型在较高频段计算空间电荷降低因子是不合适的. 关键词： 行波管 非线性 螺旋导电面 空间电荷降低因子 色散 耦合阻抗     

光子晶体耦合腔波导的色散特性

理论研究表明，在基于光子晶体的耦合腔波导中，杂质带的色散性质取决于相邻缺陷间局域电磁场的特性，而非缺陷间距离的大小.在第一布里渊区中出现的杂质带的反常色散实际上是能带折叠的结果.通过计算结构的有效折射率，证实了杂质带色散是正常色散. 关键词： 光子晶体 反常色散 耦合腔 杂质带     

翼片加载螺旋线慢波结构的螺旋带模型

 翼片加载螺旋线慢波结构广泛应用于大功率、宽频带行波管中。建立了翼片加载螺旋线慢波结构的螺旋带模型，得到了实用的色散方程、耦合阻抗和衰减常数的表达式。利用导出的方程对实际行波管的螺旋慢波结构进行计算，并与测量结果和导电面模型进行了比较，计算结果与测量结果具有良好的一致性。分析了不同管壳半径对色散特性的影响。     

螺旋波纹波导研究

从耦合波方程出发，利用阻抗微扰法对螺旋波纹波导的边界不规则性进行处理，得到螺旋波纹波导的一般性耦合波传输方程，及耦合系数表达式.根据螺旋波纹波导内模式耦合的规则,得出色散方程并分析其色散特性. 关键词： 螺旋波纹波导 耦合波方程 阻抗微扰 色散特性 本征模     

考虑螺旋带径向厚度的螺旋线慢波系统的研究

 分析了具有夹持杆和金属屏蔽筒并且考虑了螺旋带径向厚度的螺旋线慢波系统的色散特性和耦合阻抗。通过用切比雪夫多项式来展开螺旋带上的面电流，用真空层来模拟螺旋带的厚度，用均匀分层介质来等效介质夹持杆，得到了色散方程和耦合阻抗的表达式。与实验数据相比，考虑螺旋带厚度所得出的结果明显优于未考虑其厚度的结果。利用该模型设计了两个工作在3GHz的螺旋线慢波系统。     

翼片加载螺旋线慢波结构的螺旋带模型

翼片加载螺旋线慢波结构广泛应用于大功率、宽频带行波管中。建立了翼片加载螺旋线慢波结构的螺旋带模型,得到了实用的色散方程、耦合阻抗和衰减常数的表达式。利用导出的方程对实际行波管的螺旋慢波结构进行计算,并与测量结果和导电面模型进行了比较,计算结果与测量结果具有良好的一致性。分析了不同管壳半径对色散特性的影响。     

考虑螺旋带径向厚度的螺旋线慢波系统的研究

分析了具有夹持杆和金属屏蔽筒并且考虑了螺旋带径向厚度的螺旋线慢波系统的色散特性和耦合阻抗。通过用切比雪夫多项式来展开螺旋带上的面电流,用真空层来模拟螺旋带的厚度,用均匀分层介质来等效介质夹持杆,得到了色散方程和耦合阻抗的表达式。与实验数据相比,考虑螺旋带厚度所得出的结果明显优于未考虑其厚度的结果。利用该模型设计了两个工作在3GHz的螺旋线慢波系统。     

阶梯槽交错双栅慢波结构高频特性理论和模拟

本文基于一种阶梯槽交错双栅周期慢波结构模型,获得了该结构中的电磁场分布公式.通过场匹配方法,求出了该结构的高频色散方程和耦合阻抗表达式.以W波段行波管用的阶梯槽交错双栅为例,利用本文公式和CST-MWS电磁软件比较计算了色散和耦合阻抗特性,分析了阶梯尺寸参数对高频特性(基模色散、+1次空间谐波归一化相速和耦合阻抗)的影响.结果表明,理论和CST-MWS软件模拟有很好的一致性;相对矩形交错双栅,改善了色散特性,拓展了基模带宽,同时具有足够大的耦合阻抗和适合工程应用的机械强度,在一定程度上可以弥补矩形交错双栅周期慢波结构的不足.     

Special Stäckel electrovac spacetimes

Classification of all electrovac specetimes permitting the separation of variables in the Hamilton-Jacobi equation for a charged test particle is carried out. This separation requires the existence of a complete set consisting of Killing’s vectors and tensors of a special kind. Every complete set defines its own type of metric and electromagnetic potential in the separable coordinate system. There exist seven types of separation of variables for electromagnetic spaces. For every type an additional classification is carried out by transformation of coordinates without any disturbance of the separation conditions, the gradient transformation of electromagnetic potential and the conformal-constant transformation of metric. The key step in solving the problem is the extraction of an autonomous subsystem which determines the metric from only the Einstein-Maxwell equations for every type of separation of variables. Representatives of all classes of metrics and electromagnetic potential are given for every type of separation of variables with the exception of the spaces found in the well-known work by Carter. The problem is solved in terms of metric formalism. The classes of electrovac spacetimes obtained are found to be related to Petrov’s classification.     

The form-invariance of wave equations without requiring a priori relations between field variables

According to the principle of relativity,the equations describing the laws of physics should have the same forms in all admissible frames of reference,i.e.,form-invariance is an intrinsic property of correct wave equations.However,so far in the design of metamaterials by transformation methods,the form-invariance is always proved by using certain relations between field variables before and after coordinate transformation.The main contribution of this paper is to give general proofs of form-invariance of electromagnetic,sound and elastic wave equations in the global Cartesian coordinate system without using any assumption of the relation between field variables.The results show that electromagnetic wave equations and sound wave equations are intrinsically form-invariant,but traditional elastodynamic equations are not.As a by-product,one can naturally obtain new elastodynamic equations in the time domain that are locally accurate to describe the elastic wave propagation in inhomogeneous media.The validity of these new equations is demonstrated by some numerical simulations of a perfect elastic wave rotator and an approximate elastic wave cloak.These findings are important for solving inverse scattering problems in many fields such as seismology,nondestructive evaluation and metamaterials.     

Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations

The technique of applying form-invariant, spatial coordinate transformations of Maxwell’s equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical approach in the designs of a square electromagnetic cloak and an omni-directional electromagnetic field concentrator. The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations. The two devices presented demonstrate that the transformation optic approach leads to the specification of complex, anisotropic and inhomogeneous materials with well directed and distinct electromagnetic behavior.     

Extremely high concentration of electromagnetic field in the three-dimensional waveguides based on transformation optics

Based on the coordinate transformation theory, we propose a way to manipulate the field distribution in three-dimensional waveguides filled with the designed material. In this work, we show that the designed transformation media can concentrate the electromagnetic field more extremely around the center of the rectangular cross-section inside the straight waveguide. Furthermore, high concentration of the field distribution inside the waveguide bend is also performed well. Numerical simulations demonstrate that the electromagnetic wave can propagate without any signal destruction and conserve the original propagation mode at receiver side.     

CPML在空中核爆电磁脉冲三维数值模拟中的应用

在分析不同类型完全匹配层(PML,perfectl ymatched layer)特点的基础上,选用了卷积形式PML(CPML,convolutional perfectly matched layer)截断空中核爆电磁脉冲(NEMP,nuclear electromagnetic pulse)数值模拟的开放边界.从自由空间中电磁波的平面波解和分裂形式的PML出发,构造了未分裂形式的PML,应用付里叶变换的卷积定理,推导出三维旋转椭球-双曲正交坐标系下CPML介质中电磁场的迭代形式的离散方程.获得了很好的截断效果,展示了CPML在NEMP数值模拟中的应用前景.     

Closed solution to electromagnetic scattering of a plane wave by an eccentric cylinder coated with metamaterials

Closed series solution of electromagnetic scattering by an eccentric coated cylinder is achieved in matrix form. Diffracted field patterns are examined for an incident plane transverse magnetic (TM) wave. The solution is found by the classical separation of variables technique and the translational addition theorems. Wave transformation and orthogonality of the complex exponentials are employed to produce an infinite series. Numerical results are then shown by shortening the infinite series to a limited number of terms. Solutions are discussed for a dielectric or a metamaterial coating.     

基于变换光学的椭圆形透明聚集器的设计研究

基于麦克斯韦方程组在不同坐标系下具有形式不变性以及变换光学理论, 通过设计材料的本构参数(介电常数和磁导率)来引导电磁波的传播, 提出了具有电磁透明和电磁聚集两种功能的新型电磁器件-椭圆形透明聚集器的设计方法. 电磁波透明体不会阻挡电磁波的传播并且能够与斗篷内部进行交互; 电磁波聚集器是当电磁波入射到该装置上时, 电磁波能够被设计的装置按照要求集中到一个区域或者一个点, 实现电磁波能量的集中. 本文利用压缩变换和扩展变换推导出了这种电磁器件中各层的相对介电常数和相对磁导率的张量表达式, 并利用基于有限元算法的电磁仿真软件对该电磁器件进行了全波仿真验证, 得到了入射波从各个不同方向入射时磁场z 分量的分布图, 仿真结果证实了该设计方法和电磁参数的正确性. 最后还讨论了电磁器件存在损耗时的情况, 当损耗逐渐增大时, 器件的功能在一定程度上受到了削弱. 本文的设计方法为其他新型电磁器件的设计提供了一种新的思路.     

Separation of variables in the nonstationary Schrödinger equation

Separation of variables in the Schrödinger equation is performed by using complete sets of differential operators of symmetry with operators not higher than second order, and all types of electromagnetic field potentials for which separation of variables is possible are listed.     

Separation of variables in the stationary Schrödinger equation

The problem of separation of variables in the stationary Schrödinger equation is considered for a charge moving in an external electromagnetic field. On the basis of the definition formulated, necessary and sufficient conditions are found for separation of variables in equations of elliptic type to which the stationary Schrödinger equation belongs. Application of general theorems made it possible to enumerate all types of electromagnetic fields and systems of coordinates in which separation of variables in the stationary Schrödinger equation is possible. Systems of ordinary differential equations which the wave function in the separated variables satisfies are written down to explicit form.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 45–50, August, 1972.