导体球涂覆各向异性铁氧体介质电磁散射的解析解

该文用球矢量波函数对各向异性铁氧体介质涂覆导体球的电磁散射解析解开展研究。各向异性铁氧体介质中电磁场的球矢量波函数解可表示成第一、二、三、四类球矢量波函数之和。根据球Bessel函数的性质,可以得出导体球涂覆各向异性铁氧体介质的球矢量波函数解析解。应用铁氧体与自由空间分界面上电磁场切向连续和在导体球面上切向电场等于零的边界条件以及球矢量波函数切向正交性质,可分别得出铁氧体介质中电磁场和散射场的展开系数。给出了平面波入射情况下的数值计算结果。该文的结果可应用于有关微波器件、天线以及目标特征的分析和计算。     

单轴各向异性球对任意方向入射平面波的散射

基于球矢量波函数的正交完备性,给出了具有任意传播方向两种极化模式的平面波用球矢量波函数展开的形式,导出了其展开系数的具体表达式.研究了单轴各向异性介质球对任意方向入射平面波的散射,利用球矢量波函数及傅里叶变换方法得到了各向异性介质球的内场展开式,结合切向连续边界条件给出了散射系数.数值分析了介电常数张量元、有耗、无耗、尺寸参数、入射角和方位角等对单轴各向异性介质球的雷达散射截面的影响.     

两层旋电磁介质球电磁散射的球矢量波函数解

在均匀旋电磁介质球矢量波函数的基础上,利用球Bessel函数的特性,给出了两层旋电磁介质球内的电磁场用波函数表示的表达式.在平面波入射情况下,应用电磁场在球边界上切向电场和磁场连续与远区辐射条件,导出了两层各向异性旋电磁介质中电磁场用矢量波函数表示的展开函数所满足的方程组,求出了两层旋电磁介质球的散射场用均匀各向同性波函数展开的展开系数,进而得出了两层旋电磁介质球对平面波的电磁散射特性.理论分析和数值计算的结果表明:当两层旋电磁介质球的媒质参数相同时,本文所得的结果可退化为单层各向异性旋电磁体解析解.     

两同心各向异性等离子体球电磁散射的解析解

利用各向异性等离子体介质的电磁场满足各向异性等离子体球矢量波函数的条件，根据球Bessel函数的特点，分别给出两同心各向异性等离子体介质的球矢量波函数的解析表达式。在此基础上，应用电磁场在球边界上切向电场和磁场连续和远区辐射条件，导出在平面波入射情况下，两同心各向异性等离子体介质本征函数解的展开系数。理论分析和数值计算的结果表明：当两同心等离子体球媒质参数相同时，本文所得的结果可退化为单层各向异性等离子体解析解。同时数值计算还给出了本方法与矩量法-共扼梯度-傅立叶变换(MOM-CG-FFT)的比较结果，两者符合较好。     

复杂媒质目标电磁散射问题的有限元分析

采用有限元方法分析含有各向异性、双各向同性以及双各向异性的复杂媒质目标的电磁散射问题.建立了具有通用形式的线性媒质——双各向异性媒质的有限元泛函公式,并推导了其有限元矩阵方程的具体表达式.通过对铁氧体球、手征球、等离子球和Ω媒质体等四类复杂媒质结构的数值分析,证明了本文给出的复杂媒质散射问题有限元分析方法的准确性以及通用性.     

FDTD应用于各向异性介质及半空间散射问题

介绍FDTD方法应用于各向异性介质散射分析及其并行计算.基于并矢表面阻抗给出金属表面各向异性介质涂层的等效介质参数公式.讨论铁氧体基片偏置磁场对微带天线辐射方向图的影响,模拟研究了板状各向异性材料介质参数的反演途径.将半空间FDTD应用于金属平板上孔缝散射计算和光学材料表面微缺陷散射近场和散射振幅分析,以及介质光栅Floquet模和传输功率的计算.     

多层各向异性等离子体球电磁散射的解析解

给出s层各向异性等离子体球电磁场球矢量波函数解析表达式,应用电磁场在(s-1)层球壳边界上切向电磁场连续以及辐射条件,导出了平面波入射情况下,s层等离子体球电磁场的展开系数。将数值计算结果分别与矩量法-共扼梯度-傅里叶变换(MOM-CG-FFT)计算结果和均匀等离子体球的结果进行了比较,符合得较好。该文研究结果预期可应用于新型天线的研制和卫星通信等领域。     

阻抗球涂覆均匀等离子体电磁散射的解析解

均匀无源各向异性等离子体介质中的电磁场是第一、第二类各向异性等离子体球矢量波函数的线性叠加,在阻抗球表面满足阻抗边界条件、等离子体与自由空间表面满足电磁场切向连续的边界条件,可得出各向异性等离子体涂覆阻抗球在平面波入射情况下,均匀等离子体介质中电磁场用各向异性等离子体球矢量波函数表示的系数满足的矩阵方程,进而得出散射场由球矢量波函数展开的展开系数和雷达散射截面.数值计算的结果表明:当阻抗球的半径趋于0时,其结果和均匀各向异性等离子体球对平面波的电磁散射结果相同.最后还给出了一些数值计算的结果.     

三维各向异性介质目标电磁散射的MOM-CGM-FFT方法

给出了研究任意形状的三维各向异性介质目标的电磁散射问题一种混合计算方法。该方法以电场作为求知函数建立频域体积分－微分方程，使用脉冲基函数和点匹配函数的矩量法（MOM）将之转化为线性代数方程组。在求解过程中应用共轭梯度法9CGM）和快速富里叶变换（FFT）相结合的方法降低所需计算机内存和CPU时间。与各向同性和各向异性介质球的计算结果和解析结果及其它文献结果相比较，吻合较好。对材料参数为奇异矩阵的介质球的计算结果证明，该计算方法兼容性强，是一种求解三维电磁散射问题的有效途径。     

各向异性介质中的菲涅耳公式及应用

本文给出了在空气与各向异性介质分界面上反射光、折射光与入射光振幅间的关系及其在测定各向异性介质主折射率中的一个应用。     

Electromagnetic scattering by an inhomogeneous plasma anisotropic sphere of multilayers

Electromagnetic scattering by an inhomogeneous plasma anisotropic sphere is formulated and obtained, where the inhomogeneous plasma anisotropic sphere is divided into (s-1) homogeneous anisotropic spherical layers. The electromagnetic fields in the inner spherical multilayers and outer free space of the inhomogeneous plasma anisotropic spherical structure can be expanded in terms of the spherical vector wave functions in plasma anisotropic medium and in isotropic medium, respectively. By applying the continuous boundary conditions of electromagnetic fields on the spherical interfaces of the (s-1)-layered homogeneous anisotropic plasma medium, the unknown expansion coefficients of fields in the multilayered plasma spherical structure are obtained, and then the electromagnetic field distributions are calculated. Numerical results for the very general inhomogeneous plasma dielectric material sphere are given and the data in a special case are obtained using the present method and the method of moments accelerated with the conjugate-gradient fast-Fourier-transform approach and compared to each other to verify the correctness and applicability of the present analysis.     

Modified Spherical Wave Functions With Anisotropy Ratio: Application to the Analysis of Scattering by Multilayered Anisotropic Shells

We describe a novel and rigorous vector eigenfunction expansion of electric-type Green's dyadics for radially multi- layered uniaxial anisotropic media in terms of the modified spherical vector wave functions, which can take into account the effects of anisotropy ratio systematically. In each layer, the material constitutions e and epsiv macrmu macr are tensors and distribution of sources is arbitrary. Both the unbounded and scattering dyadic Green's functions (DGFs) for rotationally uniaxial anisotropic media are derived in spherical coordinates (r, thetas, phi). The coefficients of scattering DGFs, based on the coupling recursive algorithm satisfied by the coefficient matrix, are derived and expressed in a compact form. With these DGFs obtained, the electromagnetic fields in each layer are straightforward once the current source is known. A specific model is proposed for the scattering and absorption characteristics of multilayered uniaxial anisotropic spheres, and some novel performance regarding anisotropy effects is revealed.     

球形分层媒质中并矢格林函数的求解 I:并矢格林函数的推导

首先,在球坐标系下,通过德拜位函数得到均匀各向同性介质中矢量波动方程的解。然后,分析了内、外向波的单界面和多层界面的反射和透射,得到了相应的反射系数和透射系数以及广义反射系数和透射系数。接着,推导了啄源在球形分层介质中的不同位置产生的德拜位。最后,根据得到的德拜位,用球坐标系下的矢量波函数表达出场点在不同位置时的电并矢格林函数和磁并矢格林函数。     

VECTOR WAVE FUNCTION EXPANSION FOR SOLVING ELECTROMAGNETIC SCATTERING BY BURIED OBJECTS

An analysis of solving the electromagnetic scattering by buried objects using vectorwave function expansion is presented.For expanding the boundary conditions both on the planarair-earth interface and on the spherical surface,the conversion relations between the cylindricaland spherical vector wave functions are derived.Hence the vector wave function expansion isconveniently applied to solve this complex boundary-value problem.For the excitation of the in-cident plane wave and the dipole above the earth,the scatterlng patterns of the buried conductingand dielectric spheres are presented and discussed.     

求解埋入体电磁散射问题的矢量波函数展开法

本文利用矢量波函数展开法求解了任意激励原埋入体的电磁散射问题。通过导出圆柱和圆球矢量波函数的转换关系,使场量满足分界平面和数学球面边界条件,从而方便地利用矢量波函数展开求解了这一复杂边值问题。作为示例,本文计算了在平面波和偶极子激励下,埋入导体球和介质球的散射场。     

Analysis of the H-Plane T-Junction Millimeter Wave Waveguide Circulator with a Ferrite Sphere

This paper presents an approximate but efficient field treatment of the new easy-to-fabricate ferrite sphere based H-plane waveguide circulator for potentially low-cost millimeter wave communication systems. A new three-dimension modeling strategy using a self-inconsistent mixed coordinates based mode matching technique is developed, i.e. the solutions of the Helmholz wave equations in the ferrite sphere and in the surrounding areas are deduced in the form of infinite summation of spherical, cylindrical and general Cartesian modes respectively. The point matching method is then used on the interface to numerically obtain the coefficients of different orders basis functions of the field. Therefore, the field distributions as well as the characteristics of the circulator are numerically calculated and the good agreement is observed between the numerical results and the measured data.     

常用矢量波函数的坐标变换关系

本文导出标准直角、圆柱和圆球矢量波函数的坐标变换关系,为实际使用提供了方便。     

Application of spherical wave theory to cassegrainian-fed paraboloids

In this paper the spherical wave expansion technique is used to analyze the general properties of paraboloidal antenna feed systems. As a result, fundamental aperture efficiency and noise temperature limitations are established as quantitative functions of antenna wavelength size. A boundary-value solution is found for synthesis of ideal subreflector shapes in a Cassegrain-type feed system. The resulting surface is found to reduce the classical hyperboloid in the limit of zero wavelength. Applications of this synthesis technique to high performance feed systems and subreflector matching are discussed. Finally, an interesting quantitative cross-check between vector spherical wave and vector diffraction theories is obtained.