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Nitsch, Prof. Dr. . Juergen Radiating Nonuniform Transmission-Line Systems and the Partial Element Equivalent Circuit Method eBook

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

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eBook Publisher: John Wiley & Sons
Imprint: John Wiley & Sons

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High frequencies of densely packed modern electronic equipment turn even the smallest piece of wire into a transmission line with signal retardation, dispersion, attenuation, and distortion. In electromagnetic environments with high-power microwave or ultra-wideband sources, transmission lines pick up noise currents generated by external electromagnetic fields. These are superimposed on essential signals, the lines acting not only as receiving antennas but radiating parts of the signal energy into the environment.

This book is outstanding in its originality. While many textbooks rephrase that which has been written before, this book features:

an accessible introduction to the fundamentals of electromagnetics; an explanation of the newest developments in transmission line theory, featuring the transmission line super theory developed by the authors; a unique exposition of the increasingly popular PEEC (partial element equivalent circuit) method, including recent research results.

Both the Transmission Line Theory and the PEEC method are well suited to combine linear structures with circuit networks.

For engineers, researchers, and graduate students, this text broadens insight into the basics of electrical engineering. It provides a deeper understanding of Maxwellian-circuit-like representations of multi-conductor transmission lines, justifies future research in this field.

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Title of eBook: Radiating Nonuniform Transmission-Line Systems and the Partial Element Equivalent Circuit Method
Release Date: 11-16-2009
Publisher: John Wiley & Sons

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


Chapter One

Fundamentals of Electrodynamics

Most of electrical engineering rests upon classical electrodynamics. Classical electrodynamics summarizes the classical field theory which models the interaction between electric charges and the electromagentic field. The related field theoretical concepts are necessary to develop transmission-line models which describe in a general way the interaction between electric charges on transmission lines and the electromagnetic field.

Within this first chapter the fundamental concepts and results of classical electrodynamics which form the physical and mathematical basis of this book will be collected and developed. To begin with, an axiomatic approach is presented which derives the Maxwell equations, that is the equations of motion of electrodynamics, from conservation laws. This approach is followed by an alternative gauge field approach which also yields the Maxwell equations and, additionally, conveys profound insights into the concept of gauge symmetry. Both approaches will be compared and interrelated. Then the dynamical and nondynamical properties of the electromagnetic field are investigated in order to set up electromagnetic boundary value problems in terms of appropriate differential equations and integral equations.

1.1 Maxwell Equations Derived from Conservation Laws an Axiomatic Approach

An axiomatic approach to classical electrodynamics is based on electric charge conservation, the Lorentz force, magnetic flux conservation and the existence of local and linear constitutive relations. The inhomogeneous Maxwell equations, expressed in terms of [D.sup.i] and [H.sup.i], turn o

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