Radiating Nonuniform Transmission-Line Systems and the Partial Element Equivalent Circuit Method

Radiating Nonuniform Transmission-Line Systems and the Partial Element Equivalent Circuit Method
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辐射非均匀传输线系统和部分元等效电路方法

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发表时间:
2009
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影响因子:
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通讯作者:
G. Wollenberg
G. Wollenberg
中科院分区:
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文献类型:
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作者:
J. Nitsch;F. Gronwald;G. Wollenberg

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序言。参考资料。致谢。符号列表导论. 1电动力学基础1.1从守恒律导出的麦克斯韦方程组-公理化方法。1.2电磁场作为规范场--规范场方法。1.3公理化方法与规范场方法的关系。1.4麦克斯韦方程组的解。1.5边值问题和积分方程。参考资料。2非均匀传输线系统2.1多导体传输线:一般方程。2.2积积分/矩阵的一般计算方法2.3 TLST中选定传输线的半解析和数值解。2.4分析方法。参考资料。3复杂系统与电磁拓扑3.1电磁拓扑的概念。3.2拓扑网络与BLT方程3.3传输线和拓扑网络。3.4屏蔽参考资料。4部分元件等效电路法(PEEC法)。4.1基本方程4.2频域广义PEEC方法的推导。4.3 PEEC模型的分类。4.4平面半空间的PEEC模型4.5 PEEC建模中的几何离散化。4.6 PEEC模型的时域和稳定性问题。4.7 PEEC模型中的皮肤效应。4.8基于并矢绿色函数的分层介质导电结构PEEC模型4.9 PEEC模型和均匀传输线。4.10 PEEC模型中的功率考虑。参考资料。附录A:张量分析、积分和李导数。A.1曲线上的积分和协变向量作为线被积。A.2曲面上的积分和作为曲面被积函数的逆变矢量密度。A.3在体积上的积分和作为体积积分的标量密度。A.4庞加莱引理。A.5斯托克斯定理。A.6谎言衍生物。参考资料。附录B:功能分析的基本要素。B.1函数空间。B.2线性运算符。B.3线性算子的谱B.4频谱扩展和表示。参考资料。附录C:向量和并元微积分的一些公式。C.1载体标识。C.2二元恒等式。C.3积分恒等式。参考附录D:积分方程对导体几何形状的适应。附录E:积积分/矩阵。E.1微分方程及其解E.2乘积积分的确定。E.3反向操作。E.4积积分的计算规则。参考资料。附录F:一些重要积分的解。F.1涉及x 2 + B 2的幂的积分F.2涉及指数和幂函数的积分。F.3涉及三角函数和指数函数的积分。参考指数.
Preface. References . Acknowledgments . List of Symbols . Introduction . 1 Fundamentals of Electrodynamics . 1.1 Maxwell Equations Derived from Conservation Laws - an Axiomatic Approach. 1.2 The Electromagnetic Field as a Gauge Field - a Gauge Field Approach. 1.3 The Relation Between the Axiomatic Approach and the Gauge Field Approach. 1.4 Solutions of Maxwell Equations. 1.5 Boundary Value Problems and Integral Equations. References. 2 Nonuniform Transmission-Line Systems . 2.1 Multiconductor Transmission Lines: General Equations. 2.2 General Calculation Methods for the Product Integral/Matrizant. 2.3 Semi-Analytic and Numerical Solutions for Selected Transmission Lines in the TLST. 2.4 Analytic Approaches. References. 3 Complex Systems and Electromagnetic Topology . 3.1 The Concept of Electromagnetic Topology. 3.2 Topological Networks and BLT Equations. 3.3 Transmission Lines and Topological Networks. 3.4 Shielding. References. 4 The Method of Partial Element Equivalent Circuits (PEEC Method) . 4.1 Fundamental Equations. 4.2 Derivation of the Generalized PEEC Method in the Frequency Domain. 4.3 Classification of PEEC Models. 4.4 PEEC Models for the Plane Half Space. 4.5 Geometrical Discretization in PEEC Modeling. 4.6 PEEC Models for the Time Domain and the Stability Issue. 4.7 Skin Effect in PEEC Models. 4.8 PEEC Models Based on Dyadic Green's Functions for Conducting Structures in Layered Media. 4.9 PEEC Models and Uniform Transmission Lines. 4.10 Power Considerations in PEEC Models. References. Appendix A: Tensor Analysis, Integration and Lie Derivative . A.1 Integration Over a Curve and Covariant Vectors as Line Integrands. A.2 Integration Over a Surface and Contravariant Vector Densities as Surface Integrands. A.3 Integration Over a Volume and Scalar Densities as Volume Integrands. A.4 Poincare Lemma. A.5 Stokes' Theorem. A.6 Lie Derivative. References. Appendix B: Elements of Functional Analysis . B.1 Function Spaces. B.2 Linear Operators. B.3 Spectrum of a Linear Operator. B.4 Spectral Expansions and Representations. References. Appendix C: Some Formulas of Vector and Dyadic Calculus . C.1 Vector Identities. C.2 Dyadic Identities. C.3 Integral Identities. Reference. Appendix D: Adaption of the Integral Equations to the Conductor Geometry . Appendix E: The Product Integral/Matrizant . E.1 The Differential Equation and Its Solution. E.2 The Determination of the Product Integral. E.3 Inverse Operation. E.4 Calculation Rules for the Product Integral. References. Appendix F: Solutions for Some Important Integrals . F.1 Integrals Involving Powers of x 2 + b 2. F.2 Integrals Involving Exponential and Power Functions. F.3 Integrals Involving Trigonometric and Exponential Functions. Reference. Index.