Librería Portfolio

Offers a comprehensive overview of the recent advances in the area of computational electromagnetics

Computational Method in Electromagnetic Compatibility offers a review of the most recent advances in computational electromagnetics. The authors-noted experts in the field-examine similar problems by taking different approaches related to antenna theory models and transmission line methods. They discuss various solution methods related to boundary integral equation techniques and finite difference techniques.

The topics covered are related to realistic antenna systems including antennas for air traffic control or ground penetrating radar antennas; grounding systems (such as grounding systems for wind turbines); biomedical applications of electromagnetic fields (such as transcranial magnetic stimulation); and much more. The text features a number of illustrative computational examples and a reference list at the end of each chapter. The book is grounded in a rigorous theoretical approach and offers mathematical details of the formulations and solution methods. This important text:

Provides a trade-off between a highly efficient transmission line approach and antenna theory models providing analysis of high frequency and transient phenomena
Contains the newest information on EMC analysis and design principles
Discusses electromagnetic field coupling to thin wire configurations and modeling in bioelectromagnetics
Written for engineering students, senior researchers and practicing electrical engineers, Computational Method in Electromagnetic Compatibility provides a valuable resource in the design of equipment working in a common electromagnetic environment.



Preface xiii

Part I Electromagnetic Field Coupling to ThinWire Configurations of Arbitrary Shape 1

1 Computational Electromagnetics - Introductory Aspects 3

1.1 The Character of Physical Models Representing Natural Phenomena 3

1.1.1 Scientific Method, a Definition, History, Development ... ? 3

1.1.2 Physical Model and the MathematicalMethod to Solve the Problem -The Essence of Scientific Theories 4

1.1.3 Philosophical Aspects Behind Scientific Theories 7

1.1.4 On the Character of Physical Models 8

1.2 Maxwell's Equations 9

1.2.1 Original Form of Maxwell's Equations 9

1.2.2 Modern Form of Maxwell's Equations 10

1.2.3 From the Corner of Philosophy of Science 12

1.2.4 FDTD Solution of Maxwell's Equations 13

1.2.5 Computational Examples 16

1.3 The ElectromagneticWave Equations 19

1.4 Conservation Laws in the Electromagnetic Field 20

1.5 Density of Quantity of Movement in the Electromagnetic Field 22

1.6 Electromagnetic Potentials 25

1.7 Solution of theWave Equation and Radiation Arrow of Time 25

1.8 Complex Phasor Form of Equations in Electromagnetics 27

1.8.1 The Generalized Symmetric Form of Maxwell's Equations 27

1.8.2 Complex Phasor Form of ElectromagneticWave Equations 29

1.8.3 Poynting Theorem for Complex Phasors 29

References 31

2 Antenna Theory versus Transmission Line Approximation - General Considerations 33

2.1 A Note on EMC ComputationalModels 33

2.1.1 Classification of EMC Models 34

2.1.2 Summary Remarks on EMC Modeling 34

2.2 Generalized Telegrapher's Equations for the Field Coupling to Finite LengthWires 35

2.2.1 Frequency Domain Analysis for StraightWires above a Lossy Ground 36

2.2.1.1 Integral Equation for PECWire of Finite Length above a Lossy Ground 37

2.2.1.2 Integral Equation for a Lossy Conductor above a Lossy Ground 39

2.2.1.3 Generalized Telegraphers Equations for PECWires 39

2.2.1.4 Generalized Telegraphers Equations for Lossy Conductors 42

2.2.1.5 Numerical Solution of Integral Equations 43

2.2.1.6 Simulation Results 46

2.2.1.7 Simulation Results and Comparison with TLTheory 46

2.2.2 Frequency Domain Analysis for StraightWires Buried in a Lossy Ground 51

2.2.2.1 Integral Equation for Lossy Conductor Buried in a Lossy Ground 51

2.2.2.2 Generalized Telegraphers Equations for Buried LossyWires 54

2.2.2.3 Computational Examples 56

2.2.3 Time Domain Analysis for StraightWires above a Lossy Ground 61

2.2.3.1 Space-Time Integro-Differential Equation for PECWire above a Lossy Ground 61

2.2.3.2 Space-Time Integro-Differential Equation for Lossy Conductors 65

2.2.3.3 Generalized Telegraphers Equations for PECWires 66

2.2.3.4 Generalized Telegrapher's Equations for Lossy Conductors 70

2.2.4 Time Domain Analysis for StraightWires Buried in a Lossy Ground 74

2.2.4.1 Space-Time Integro-Differential Equation for PECWire below a Lossy Ground 74

2.2.4.2 Space-Time Integro-Differential Equation for Lossy Conductors 79

2.2.4.3 Generalized Telegrapher's Equations for BuriedWires 80

2.2.4.4 Computational Results: BuriedWire Scatterer 82

2.2.4.5 Computational Results: Horizontal Grounding Electrode 84

2.3 Single HorizontalWire in the Presence of a Lossy Half-Space: Comparison of Analytical Solution, Numerical Solution, and Transmission Line Approximation 86

2.3.1 Wire above a Perfect Ground 88

2.3.2 Wire above an Imperfect Ground 89

2.3.3 Wire Buried in a Lossy Ground 89

2.3.4 Analytical Solution 90

2.3.5 Boundary Element Procedure 92

2.3.6 The Transmission Line Model 93

2.3.7 Modified Transmission Line Model 94

2.3.8 Computational Examples 95

2.3.8.1 Wire above a PEC Ground 95

2.3.8.2 Wire above a Lossy Ground 95

2.3.8.3 Wire Buried in a Lossy Ground 103

2.3.9 Field Transmitted in a Lower Lossy Half-Space 103

2.3.10 Numerical Results 110

2.4 Single VerticalWire in the Presence of a Lossy Half-Space: Comparison of Analytical Solution, Numerical Solution, and Transmission Line Approximation 114

2.4.1 Numerical Solution 117

2.4.2 Analytical Solution 119

2.4.3 Computational Examples 121

2.4.3.1 Transmitting Antenna 122

2.4.3.2 Receiving Antenna 122

2.5 Magnetic Current Loop Excitation of ThinWires 132

2.5.1 Delta Gap and Magnetic Frill 134

2.5.2 Magnetic Current Loop 135

2.5.3 Numerical Solution 136

2.5.4 Numerical Results 139

References 146

3 Electromagnetic Field Coupling to OverheadWires 153

3.1 Frequency Domain Models and Methods 154

3.1.1 Antenna Theory Approach: Set of Coupled Pocklington's Equations 154

3.1.2 Numerical Solution 160

3.1.3 Transmission Line Approximation: Telegrapher's Equations in the Frequency Domain 162

3.1.4 Computational Examples 162

3.2 Time Domain Models and Methods 167

3.2.1 The Antenna Theory Model 167

3.2.2 The Numerical Solution 175

3.2.3 The Transmission Line Model 181

3.2.4 The Solution of Transmission Line Equations via FDTD 182

3.2.5 Numerical Results 184

3.3 Applications to Antenna Systems 187

3.3.1 Helix Antennas 187

3.3.2 Log-Periodic Dipole Arrays 190

3.3.3 GPR Dipole Antennas 198

References 202

4 Electromagnetic Field Coupling to BuriedWires 205

4.1 Frequency Domain Modeling 205