Electromagnetic modelling of wire antenna structures

Title:

Personal Author:

Poljak, D. (Dragan)

Series:

Advances in electrical and electronic engineering ; 2

Publication Information:

Southampton, U.K. ; Boston : WIT Press, c2002

Physical Description:

1 CD-ROM ; 12 cm.

ISBN:

9781853128950

General Note:

Accompanies text of the same title : TK7871.67.D57 P65 2002

Subject Term:

Antennas, Dipole -- Mathematical models

Electromagnetic fields -- Mathematical models

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This book is divided into two main parts dealing with the theoretical background and numerical modelling of wire antennas, and the solution of various EMC problems by means of wire antenna theory. Several examples are included while an accompanying CD-ROM contains TAWS software which readers can use to increase their understanding of the topic.

Preface	p. xv
Part I Theory of thin wire antennas
1 Historical background of thin wire modelling	p. 3
1.1 Frequency domain integral equations	p. 3
1.2 Time domain integral equations	p. 4
2 Modelling in the frequency domain	p. 7
3 Frequency domain analysis	p. 9
3.1 The frequency domain mathematical model of horizontal wire antenna radiating in the half-space configuration	p. 9
3.1.1 Integral equation for antenna current	p. 10
3.1.2 Functional for input impedance	p. 15
3.2 Frequency domain formulation for loaded antenna above dissipative half-space	p. 17
3.2.1 Integral equation for loaded wire antenna	p. 17
3.2.1.1 Non-reflecting resistive loading	p. 18
3.3 Numerical solution procedures for unloaded wire	p. 19
3.3.1 The finite element solution of the thin wire integral equation	p. 19
3.3.2 Treatment of Sommerfeld integrals	p. 24
3.3.2.1 The exponential approximations technique	p. 24
3.3.2.2 Saddle-point method	p. 26
3.3.3 Input impedance evaluation	p. 27
3.4 Numerical procedures for the loaded wire	p. 28
3.4.1 Integral equation solution	p. 29
3.4.2 Input impedance evaluation	p. 29
3.5 Modelling of a thin wire loop antenna	p. 30
3.5.1 The weak formulation of the integro-differential equation	p. 30
3.5.2 Finite element solution	p. 32
3.6 Modelling of arbitrary thin wire configuration	p. 35
3.6.1 System of integral equations	p. 36
3.6.2 Finite element solution of integral equation system	p. 39
3.7 Numerical examples	p. 40
4 Time domain analysis	p. 49
4.1 The time domain mathematical model of horizontal wire above a real ground	p. 49
4.1.1 Space-time integral equation for unloaded wire	p. 50
4.1.2 Far field expressions	p. 56
4.1.3 Numerical procedures for horizontal wire above a dielectric half-space	p. 58
4.2 Transient response of resistively loaded straight thin wire in half-space configuration	p. 61
4.2.1 Space-time integral equation for loaded wire	p. 62
4.2.2 Numerical procedures for loaded horizontal wire above a dielectric half-space	p. 64
4.3 Transient response of nonlinearly loaded straight thin wire in half-space configuration	p. 66
4.3.1 Time domain model for nonlinearly loaded wire	p. 66
4.3.2 Numerical solution procedures for nonlinearly loaded wires	p. 68
4.3.2.1 Direct time domain approach	p. 68
4.3.2.2 Treatment of nonlinear element	p. 68
4.3.2.3 Frequency domain approach	p. 69
4.4 Transient analysis of two coupled horizontal wire antennas over a real ground	p. 69
4.4.1 Set of the space-time integral equations for coupled wires	p. 70
4.4.2 Space-time numerical solution procedures for coupled wires	p. 74
4.5 Time domain numerical examples	p. 77
4.5.1 Unloaded single wire	p. 77
4.5.2 Resistively loaded single wire	p. 82
4.5.3 Nonlinearly loaded single wire	p. 82
4.5.4 Unloaded coupled wires	p. 82
4.5.5 Final remarks on modelling in the frequency and time domain	p. 86
Part II Analysis of EMC problems using wire antenna models
5 EMC computational models based on wire antenna theory	p. 95
6 Analysis of transmission lines of finite length	p. 97
6.1 Single wire transmission line	p. 97
6.1.1 Frequency domain calculation of induced currents and voltages on an overhead wire	p. 97
6.1.1.1 Numerical solution procedures	p. 100
6.1.1.2 Numerical results	p. 101
6.1.2 Time domain modelling of a single wire line	p. 103
6.1.2.1 Numerical examples of transient responses	p. 103
6.2 Two-wire transmission line	p. 104
6.2.1 Frequency domain modelling of a two-wire overhead line by the set of electric field integral equations	p. 104
6.2.1.1 Numerical results	p. 107
6.2.2 Time domain analysis of a two-conductor transmission line	p. 107
6.2.2.1 Numerical results	p. 109
7 Analysis of lightning rods and grounding electrodes	p. 115
7.1 Lightning induced current on a metallic post	p. 116
7.2 Current distribution along the ground wire	p. 117
7.3 Finite element modelling of lightning protection systems (LPS)	p. 120
7.4 Numerical examples	p. 121
8 Interaction of the human body with the electromagnetic radiation	p. 123
8.1 Wire models of the human body exposed to the low frequency electromagnetic radiation	p. 123
8.1.1 Single wire model of the body	p. 124
8.1.2 Multiple wire model of the body	p. 126
8.1.3 Numerical results	p. 128
8.2 Time domain model of the human body exposed to the EMP excitation	p. 135
8.2.1 Space-time integral equation	p. 136
Appendix TAWS computer software	p. 139
References	p. 151

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Table of Contents