Radiating Nonuniform Transmission–Lines and the Partial Element Equivalent Circuit Method

Professor Jurgen Nitsch, Otto-von-Guericke-University-Magdeburg, Germany Since 1997, Professor Jurgen Nitsch has taught at the Otto-von-Guericke-University-Magdeburg, on the chair for EMC and Theoretical Electrical Engineering. In 2004 he became an elected IEEE Fellow for Contributions to the Analysis of Complex Systems for Electromagnetic Pulse and High-Power Microwave Applications. Professor Gunter Wollenberg, Otto-von-Guericke-University-Magdeburg, Germany Professor Gunter Wollenberg has been a professor at Otto-von-Guericke-University-Magdeberg since 1992 and his teaching activities are mainly focused on the fundamentals of electrical engineering, electromagnetic field theory and transmission line theory. Dr. Frank Gronwald, EADS Deutschland GmbH, Germany Dr. Frank Gronwald joined the Chair of Jurgen Nitsch at the Otto-von-Guericke-University-Magdeberg in 1998 where he focussed on Theoretical Electrical Engineering, Electromagnetic Compatibility and Antenna Theory. He obtained the Habilitation Degree for Theoretical Electrical Engineering in 2006. Dr. Gronwald has been with the EADS (European Aeronautic Defence and Space Company) since 2007, where he works on Electromagnetic Compatibility and Antenna Integration for Aircraft Systems. He is a senior member of IEEE and an elected member of Commission E of the International Union of Radio Science (U.R.S.I.).

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 x2 + b2. F.2 Integrals Involving Exponential and Power Functions. F.3 Integrals Involving Trigonometric and Exponential Functions. Reference. Index.