柱形谐振腔并矢Green函数的镜像法解

本文在已知任意截面柱形波导的并矢Green函数的基础上,用镜像法导出了相应柱形谐振腔的并矢Green函数的一般表达式。作为例子,对矩形谐振腔的并矢Green函数进行了具体计算,其结果与采用Ohm-Rayleigh法或散射叠加法所得结果相同。     

完全导电圆锥并矢Green函数

本文运用算子法和并矢运算的分布理论法,求解了完全导电圆锥并矢Green函数,且证明解是满足电磁基本方程的。     

构造平面分层均匀媒质并矢Green函数的本征谱方法

本文从自由空间中的并矢Green函数出发,引入一种构造平面分层均匀媒质中并矢Green函数的新方法。根据平面分层均匀媒质中不同取向的点源辐射在场点处的响应得到并矢Green函数的谱矢量,进而得出平面分层均匀媒质中并矢Green函数的积分表达式。     

论自由空间球坐标系中的并矢Green函数

本文用算子法和并矢运算的广义函数理论法,通过G_A法、G_m法和G_e~0法三种途径求解了自由空间球坐标系中的并矢Green函数,纠正了文献中的一些错误和模糊之处,且给出其在有源区域的一些普遍性质。     

Dirac符号法求电磁场的并矢Green函数

本文简单介绍了Dirac符号法,定义并矢Green函数为广义矢量算子(并矢δ函数是恒等算子),给出了它们的符号法表示。并以矩形波导为例,说明符号法求电磁场的并矢Green函数比较简便。     

并矢Green函数的构造

提出并矢Green函数应与δ函数一道作为奇性广义函数（即分布），它们在r’≈r处没有常义定义。应当看作某些正则广义函数在泛函等值意义上的极限。正确理解并矢Green函数的意义，根本不出现发散积分，应当可以按常规数学原则来处理。具体讨论了自由空间和均匀波导内的并矢Green函数，得到了判断“正则化”是否合理的准则。     

半无限长柱形波导第一类并矢Green函数的镜像法解

本文将无限长矩形波导、圆波导和同轴线的第一类电型并矢Green函数(?)_(e10)统一成一般表达式。并由此出发,用镜像法求出了相应半无限长波导的第一类电型并矢Green函数(?)_(e10)所用方法及得到的结果也适用于具有任意截面形状的柱形波导。此外,还对探针激励半无限长矩形波导内的电场进行了分析和计算。     

螺旋线慢波系统的并矢格林函数分析方法

重点研究了利用并矢格林函数求解同轴结构中的色散方程.给出了场的并矢格林函数的普遍形式,并以螺旋线和双绕螺旋线为例,利用并矢格林函数法求解色散方程.     

波导窄边缝隙天线的精确数值分析

本文将谱展开与边界元方法相结合,解决了波导壁缝隙腔中和波导外空间并矢Green函数的计算问题,从而得到了矩形波导窄边缝隙天线口面电场和等效导纳的精确数值解。给出了计算和实验结果的比较,其吻合程度较好。     

均匀直波导内的并矢Green函数

给出并矢Green函数的定义及其在波导耦合与辐射中的应用例，给出直波导内本征模场的一般表达式，在本征模是完备基的前提下，用极简单的办法得出四个并矢Green函数的一般表达式，给出了本征模完备性的证明，指出：Ohm-Rayleigh法不仅方法繁琐，而且缺少完备性的证明，其结果尚未代回原方程予以检验，只能是一个猜想，最后介绍Green函数的广义函数理论概要，以解释“源点场发散”的原因和处理原则。     

求解电磁场并矢格林函数的新方法

本文提出了求解电磁场边值问题的新方法:把矢量波方程的边值问题化为对应的标量波方程的边值问题加上两个附加的矢量微分运算的问题。用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。可以求解用现有的方法很难求解的比较复杂系统的并矢格林函数。文中给出了加载的谐振腔的并矢格林函数就是其中的一例。     

A NEW METHOD FOR SOLVING DYADIC GREEN''''S FUNCTION OF ELECTROMAGNETIC FIELD

A new method for solving electromagnetic field boundary value problem is given.Byusing this method,the boundary value problem of the vector wave equation can be transformedinto the independent boundary value problem of scalar wave equations and the two additionalvector differential operations.All the dyadic Green's functions got by eigenfunction expansionof the dyadic Green's function can be got by this method easily and some of the dyadic Green'sfunctions for complex systems which are very difficult to get by the ordinary method have beengot by this new method.The dyadic Green's function for a dielectric loaded cavity is one of thegiven examples.     

The eigenfunction expansion of dyadic Green's functions forchirowaveguides

A general method of formulating eigenfunction expansion of dyadic Green's functions in lossless, reciprocal and homogeneous chirowaveguides is presented. Bohren's decomposition of the electromagnetic field is used to obtain the vector wave functions. The method of G¯¯_m is used to rigorously derive the magnetic and electric dyadic Green's functions. A specific application to the cylindrical chirowaveguide illustrates the method     

Spheroidal vector wave eigenfunction expansion of dyadic Green'sfunctions for a dielectric spheroid

The dyadic Green's functions for defining the electromagnetic (EM) fields for the inner and outer regions of a dielectric spheroid are formulated. The dyadic Green's function for an unbounded medium is expanded in terms of the spheroidal vector wave functions and the singularity at source points is extracted. The principle of scattering superposition is then applied into the analysis to obtain the scattering spheroidal dyadic Green's functions due to the existing interface. Coupled equation systems satisfied by scattering (i.e., reflection and transmission) coefficients of the dyadic Green's functions are obtained so that these coefficients can be uniquely solved for. The characteristics of the spheroidal dyadic Green's functions as compared with the spherical and cylindrical Green's dyadics are described and the improper developments of the spheroidal dyadic Green's function for the outer region of a conducting spheroid in the existing work are pointed out     

Electric dyadic Green's functions in the source region

A straightforward approach that does not involve delta-function techniques is used to rigorously derive a generalized electric dyadic Green's function which defines uniquely the electric field inside as well as outside the source region. The electric dyadic Green's function, unlike the magnetic Green's function and the impulse functions of linear circuit theory, requires the specification of two dyadics: the conventional dyadic G^-eoutside its singularity and a source dyadic L^-which is determined solely from the geometry of the "principal volume" chosen to exclude the singularity of G^-e. The source dyadic L^-is characterized mathematically, interpreted physically as a generalized depolarizing dyadic, and evaluated for a number of principal volumes (self-cells) which are commonly used in numerical integration or solution schemes. Discrepancies at the source point among electric dyadic Green's functions derived by a number of authors are shown to be explainable and reconcilable merely through the proper choice of the principal volume. Moreover, the ordinary delta-function method, which by itself is shown to be inadequate to extract uniquely the proper electric dyadic Green's function in the source region, can be supplemented by a simple procedure to yield unambiguously the correct Green's function representation and associated fields.     

Dyadic Green's function of multilayer cylindrical closed and sector-structures for waveguide, microstrip-antenna, and network analysis

A clear and systematic method to derive the spectral- and space-domain dyadic Green's function of arbitrary cylindrical multilayer and multiconductor structures is proposed. The derivation is either done for a circumferentially closed or a cylindrical sector structure, which is bounded by electric or magnetic walls in an azimuthal direction. The solution for the dyadic Green's function in the spectral domain is obtained via an equivalent circuit. Relations between the spectral and space domains for the dyadic Green's functions are derived using eigensolution expansions. Finally, the dyadic Green's function is applied to the problem of finding the propagation constants of the two-layer dielectric rod.     

Dyadic Green's Functions for Integrated Electronic and Optical Circuits

Layered structures play an important role in both integrated microwave circuits and optical integrated circuits. Accurate prediction of device behavior requires evaluation of fields in the system. An increasingly used mathematical formulation refies on integral equations the electric field in the device is expressed in terms of the device current integrated into an electric Green's function. Details of the development of the specialized Green's functions used by various researchers have not appeared in the literature. We present the development of general dyadic electric Green's functions for layered structures; this dyadic formulation allows extension of previous analyses to cases where currents are arbitrarily directed. The electric-field Green's dyads are found in terms of associated Hertzian potential Green's dyads, developed via Sommerfeld's classic method. Incidently, boundary conditions for electric Hertzian potential are utiltzed; these boundary conditions, which have been a source of confusion in the research community, are developed in full generality. The dyadic forms derived herein are reducible in special cases to the Green's functions used by other workers.     

Symbolic derivation and numeric computation of dyadic Green'sfunctions using Mathematica

This paper presents a mathematical-software functional package that is capable of performing symbolic derivation and numeric computation of dyadic Green's functions for certain multilayered structures: a planar stratified multilayered medium, a spherical multilayered medium, a cylindrical multilayered medium, and a conducting rectangular waveguide with a multilayered dielectric load. The algorithms of this software package are based on the eigenfunction-expansion method. Using Mathematica^TM, two packages were written to fulfill the aforementioned objectives. Upon completion of the software development, dyadic Green's functions for three-layered media were generated. A comparison of these outputs with published results showed good agreement. This demonstrated the applicability of the symbolic package. For the numeric package, the Green's dyadics for a particular three-layered spherical isotropic multilayered medium were generated as an illustration. These packages have been successfully implemented, and future derivation of dyadic Green's functions for these media may be performed     

圆柱分层媒质中谱域及空域并矢格林函数的高效算法

本文提出了一种高效的计算圆柱分层媒质中谱域格林函数的数值方法 ,并利用稳定性很强的GPOF方法得到了空域并矢格林函数的解析表达式 ,大幅度的提高了计算效率 ,节省了计算时间。结果与现有文献相比 ,有良好的一致性 ,从而验证了数值模型的有效性和正确性。