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

by Nitsch, Juergen; Gronwald, Frank; Wollenberg, Gunter

• ISBN13: 9780470845363
• ISBN10: 0470845368
• Edition: 1st
• Format: Hardcover
• Copyright: 2009-12-14
• Publisher: Wiley

Summary

High speed, high frequency communications generate increased radiation levels, and practical solutions to this problem are in heavy demand. At the research level, classical EMC theory has been extended to non-parallel transmission lines addressing the increased radiation emitted at high frequency transmissions. Transmissions from antennae in the region of GHz can result in EM interference with aircraft electronic circuitry and potentially pose a health risk to humans. EMC and Non-uniform Transmission Lines will provide comprehensive coverage of both classical and non-parallel transmission line theory, surveying the most up-to-date research and current thinking in the field. The scope also spans EMC topology, used to describe very complex systems by analysing the EM interactions between the various components.

Author Biography

Professor Jürgen Nitsch, Otto-von-Guericke-University-Magdeburg, Germany
Since 1997, Professor Jürgen 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 Günter Wollenberg, Otto-von-Guericke-University-Magdeburg, Germany
Professor Günter 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 Jürgen 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.).

Table of Contents

Preface

Acknowledgments

List of Symbols

Introduction

Fundamentals of Electrodynamics

Maxwell Equations Derived from Conservation Laws an Axiomatic Approach

The Electromagnetic Field as a Gauge Field a Gauge Field Approach

The Relation Between the Axiomatic Approach and the Gauge Field Approach

Solutions of Maxwell Equations

Boundary Value Problems and Integral Equations

References

Nonuniform Transmission-Line Systems

Multiconductor Transmission Lines: General Equations

General Calculation Methods for the Product Integral/Matrizant

Semi-Analytic and Numerical Solutions for Selected Transmission Lines in the TLST

Analytic Approaches

References

Complex Systems and Electromagnetic Topology

The Concept of Electromagnetic Topology

Topological Networks and BLT Equations

Transmission Lines and Topological Networks

Shielding

References

The Method of Partial Element Equivalent Circuits (PEEC Method)

Fundamental Equations

Derivation of the Generalized PEEC Method in the Frequency Domain

Classification of PEEC Models

PEEC Models for the Plane Half Space

Geometrical Discretization in PEEC Modeling

PEEC Models for the Time Domain and the Stability Issue

Skin Effect in PEEC Models

PEEC Models Based on Dyadic Gree's Functions for Conducting Structures in Layered Media

PEEC Models and Uniform Transmission Lines

Power Considerations in PEEC Models

References

Tensor Analysis, Integration and Lie Derivative

Integration Over a Curve and Covariant Vectors as Line Integrands

Integration Over a Surface and Contravariant Vector Densities as Surface Integrands

Integration Over a Volume and Scalar Densities as Volume Integrands

Poincar´e Lemma

Stokes Theorem

Lie Derivative References

Elements of Functional Analysis

Function Spaces

Linear Operators

Spectrum of a Linear Operator

Spectral Expansions and Representations

References

Some Formulas of Vector and Dyadic Calculus

Vector Identities

Dyadic Identities

Integral Identities

Reference

Adaption of the Integral Equations to the Conductor Geometry

The Product Integral/Matrizant

The Differential Equation and Its Solution

The Determination of the Product Integral

Inverse Operation

Calculation Rules for the Product Integral

References

Solutions for Some Important Integrals

Integrals Involving Powers of vx2 + b2

Integrals Involving Exponential and Power Functions

Integrals Involving Trigonometric and Exponential Functions

Reference

Index

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