Preface |
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xiii | |
Part I Electromagnetic Field Coupling to Thin Wire Configurations of Arbitrary Shape |
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1 | (336) |
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1 Computational Electromagnetics - Introductory Aspects |
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3 | (30) |
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1.1 The Character of Physical Models Representing Natural Phenomena |
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3 | (6) |
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1.1.1 Scientific Method, a Definition, History, Development...? |
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3 | (1) |
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1.1.2 Physical Model and the Mathematical Method to Solve the Problem -The Essence of Scientific Theories |
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4 | (3) |
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1.1.3 Philosophical Aspects Behind Scientific Theories |
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7 | (1) |
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1.1.4 On the Character of Physical Models |
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8 | (1) |
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9 | (10) |
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1.2.1 Original Form of Maxwell's Equations |
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9 | (1) |
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1.2.2 Modern Form of Maxwell's Equations |
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10 | (2) |
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1.2.3 From the Corner of Philosophy of Science |
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12 | (1) |
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1.2.4 FDTD Solution of Maxwell's Equations |
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13 | (3) |
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1.2.5 Computational Examples |
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16 | (3) |
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1.3 The Electromagnetic Wave Equations |
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19 | (1) |
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1.4 Conservation Laws in the Electromagnetic Field |
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20 | (2) |
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1.5 Density of Quantity of Movement in the Electromagnetic Field |
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22 | (3) |
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1.6 Electromagnetic Potentials |
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25 | (1) |
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1.7 Solution of the Wave Equation and Radiation Arrow of Time |
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25 | (2) |
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1.8 Complex Phasor Form of Equations in Electromagnetics |
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27 | (4) |
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1.8.1 The Generalized Symmetric Form of Maxwell's Equations |
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27 | (2) |
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1.8.2 Complex Phasor Form of Electromagnetic Wave Equations |
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29 | (1) |
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1.8.3 Poynting Theorem for Complex Phasors |
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29 | (2) |
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31 | (2) |
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2 Antenna Theory versus Transmission Line Approximation - General Considerations |
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33 | (120) |
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2.1 A Note on EMC Computational Models |
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33 | (2) |
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2.1.1 Classification of EMC Models |
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34 | (1) |
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2.1.2 Summary Remarks on EMC Modeling |
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34 | (1) |
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2.2 Generalized Telegrapher's Equations for the Field Coupling to Finite Length Wires |
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35 | (51) |
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2.2.1 Frequency Domain Analysis for Straight Wires above a Lossy Ground |
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36 | (15) |
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2.2.1.1 Integral Equation for PEC Wire of Finite Length above a Lossy Ground |
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37 | (2) |
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2.2.1.2 Integral Equation for a Lossy Conductor above a Lossy Ground |
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39 | (1) |
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2.2.1.3 Generalized Telegraphers Equations for PEC Wires |
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39 | (3) |
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2.2.1.4 Generalized Telegraphers Equations for Lossy Conductors |
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42 | (1) |
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2.2.1.5 Numerical Solution of Integral Equations |
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43 | (3) |
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2.2.1.6 Simulation Results |
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46 | (1) |
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2.2.1.7 Simulation Results and Comparison with TL Theory |
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46 | (5) |
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2.2.2 Frequency Domain Analysis for Straight Wires Buried in a Lossy Ground |
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51 | (10) |
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2.2.2.1 Integral Equation for Lossy Conductor Buried in a Lossy Ground |
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51 | (3) |
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2.2.2.2 Generalized Telegraphers Equations for Buried Lossy Wires |
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54 | (2) |
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2.2.2.3 Computational Examples |
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56 | (5) |
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2.2.3 Time Domain Analysis for Straight Wires above a Lossy Ground |
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61 | (13) |
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2.2.3.1 Space-Time Integro-Differential Equation for PEC Wire above a Lossy Ground |
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61 | (4) |
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2.2.3.2 Space-Time Integro-Differential Equation for Lossy Conductors |
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65 | (1) |
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2.2.3.3 Generalized Telegraphers Equations for PEC Wires |
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66 | (4) |
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2.2.3.4 Generalized Telegrapher's Equations for Lossy Conductors |
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70 | (4) |
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2.2.4 Time Domain Analysis for Straight Wires Buried in a Lossy Ground |
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74 | (12) |
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2.2.4.1 Space-Time Integro-Differential Equation for PEC Wire below a Lossy Ground |
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74 | (5) |
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2.2.4.2 Space-Time Integro-Differential Equation for Lossy Conductors |
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79 | (1) |
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2.2.4.3 Generalized Telegrapher's Equations for Buried Wires |
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80 | (2) |
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2.2.4.4 Computational Results: Buried Wire Scatterer |
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82 | (2) |
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2.2.4.5 Computational Results: Horizontal Grounding Electrode |
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84 | (2) |
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2.3 Single Horizontal Wire in the Presence of a Lossy Half-Space: Comparison of Analytical Solution, Numerical Solution, and Transmission Line Approximation |
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86 | (28) |
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2.3.1 Wire above a Perfect Ground |
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88 | (1) |
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2.3.2 Wire above an Imperfect Ground |
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89 | (1) |
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2.3.3 Wire Buried in a Lossy Ground |
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89 | (1) |
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2.3.4 Analytical Solution |
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90 | (2) |
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2.3.5 Boundary Element Procedure |
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92 | (1) |
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2.3.6 The Transmission Line Model |
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93 | (1) |
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2.3.7 Modified Transmission Line Model |
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94 | (1) |
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2.3.8 Computational Examples |
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95 | (8) |
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2.3.8.1 Wire above a PEC Ground |
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95 | (1) |
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2.3.8.2 Wire above a Lossy Ground |
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95 | (8) |
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2.3.8.3 Wire Buried in a Lossy Ground |
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103 | (1) |
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2.3.9 Field Transmitted in a Lower Lossy Half-Space |
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103 | (7) |
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110 | (4) |
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2.4 Single Vertical Wire in the Presence of a Lossy Half-Space: Comparison of Analytical Solution, Numerical Solution, and Transmission Line Approximation |
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114 | (18) |
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117 | (2) |
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2.4.2 Analytical Solution |
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119 | (2) |
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2.4.3 Computational Examples |
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121 | (11) |
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2.4.3.1 Transmitting Antenna |
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122 | (1) |
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2.4.3.2 Receiving Antenna |
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122 | (10) |
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2.5 Magnetic Current Loop Excitation of Thin Wires |
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132 | (14) |
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2.5.1 Delta Gap and Magnetic Frill |
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134 | (1) |
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2.5.2 Magnetic Current Loop |
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135 | (1) |
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136 | (3) |
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139 | (7) |
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146 | (7) |
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3 Electromagnetic Field Coupling to Overhead Wires |
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153 | (52) |
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3.1 Frequency Domain Models and Methods |
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154 | (13) |
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3.1.1 Antenna Theory Approach: Set of Coupled Pocklington's Equations |
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154 | (6) |
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160 | (2) |
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3.1.3 Transmission Line Approximation: Telegrapher's Equations in the Frequency Domain |
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162 | (1) |
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3.1.4 Computational Examples |
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162 | (5) |
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3.2 Time Domain Models and Methods |
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167 | (20) |
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3.2.1 The Antenna Theory Model |
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167 | (8) |
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3.2.2 The Numerical Solution |
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175 | (6) |
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3.2.3 The Transmission Line Model |
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181 | (1) |
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3.2.4 The Solution of Transmission Line Equations via FDTD |
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182 | (2) |
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184 | (3) |
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3.3 Applications to Antenna Systems |
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187 | (15) |
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187 | (3) |
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3.3.2 Log-Periodic Dipole Arrays |
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190 | (8) |
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3.3.3 GPR Dipole Antennas |
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198 | (4) |
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202 | (3) |
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4 Electromagnetic Field Coupling to Buried Wires |
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205 | (20) |
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4.1 Frequency Domain Modeling |
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205 | (11) |
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4.1.1 Antenna Theory Approach: Set of Coupled Pocklington's Equations for Arbitrary Wire Configurations |
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206 | (4) |
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4.1.2 Antenna Theory Approach: Numerical Solution |
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210 | (2) |
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4.1.3 Transmission Line Approximation: |
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212 | (1) |
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4.1.4 Computational Examples |
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213 | (3) |
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216 | (7) |
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4.2.1 Antenna Theory Approach |
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216 | (3) |
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4.2.2 Transmission Line Model |
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219 | (4) |
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4.2.3 Computational Examples |
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223 | (1) |
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223 | (2) |
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5 Lightning Electromagnetics |
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225 | (28) |
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5.1 Antenna Model of Lightning Channel |
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225 | (5) |
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5.1.1 Integral Equation Formulation |
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226 | (2) |
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5.1.2 Computational Examples |
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228 | (2) |
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5.2 Vertical Antenna Model of a Lightning Rod |
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230 | (7) |
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5.2.1 Integral Equation Formulation |
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234 | (2) |
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5.2.2 Computational Examples |
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236 | (1) |
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5.3 Antenna Model of a Wind Turbine Exposed to Lightning Strike |
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237 | (10) |
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5.3.1 Integral Equation Formulation for Multiple Overhead Wires |
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240 | (1) |
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5.3.2 Numerical Solution of Integral Equation Set for Overhead Wires |
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241 | (1) |
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5.3.3 Computational Example: Transient Response of a WT Lightning Strike |
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242 | (5) |
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247 | (6) |
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6 Transient Analysis of Grounding Systems |
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253 | (84) |
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6.1 Frequency Domain Analysis of Horizontal Grounding Electrode |
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254 | (34) |
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6.1.1 Integral Equation Formulation/Reflection Coefficient Approach |
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254 | (3) |
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257 | (1) |
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6.1.3 Integral Equation Formulation/Sommerfeld Integral Approach |
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258 | (2) |
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6.1.4 Analytical Solution |
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260 | (1) |
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6.1.5 Modified Transmission Line Method (TLM) Approach |
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261 | (1) |
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6.1.6 Computational Examples |
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261 | (23) |
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6.1.7 Application of Magnetic Current Loop (MCL) Source model to Horizontal Grounding Electrode |
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284 | (4) |
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6.2 Frequency Domain Analysis of Vertical Grounding Electrode |
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288 | (9) |
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6.2.1 Integral Equation Formulation/Reflection Coefficient Approach |
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288 | (2) |
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290 | (1) |
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6.2.3 Analytical Solution |
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291 | (1) |
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292 | (5) |
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6.3 Frequency Domain Analysis of Complex Grounding Systems |
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297 | (23) |
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6.3.1 Antenna Theory Approach: Set of Homogeneous Pocklington's Integro-Differential Equations for Grounding Systems |
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298 | (2) |
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6.3.2 Antenna Theory Approach: Numerical Solution |
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300 | (1) |
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6.3.3 Modified Transmission Line Method Approach |
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301 | (1) |
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6.3.4 Finite Difference Solution of the Potential Differential Equation for Transient Induced Voltage |
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301 | (3) |
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6.3.5 Computational Examples: Grounding Grids and Rings |
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304 | (7) |
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6.3.6 Computational Examples: Grounding Systems for WTs |
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311 | (9) |
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6.4 Time Domain Analysis of Horizontal Grounding Electrodes |
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320 | (11) |
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6.4.1 Homogeneous Integral Equation Formulation in the Time Domain |
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321 | (1) |
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6.4.2 Numerical Solution Procedure for Pocklington's Equation |
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322 | (1) |
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6.4.3 Numerical Results for Grounding Electrode |
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323 | (1) |
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6.4.4 Analytical Solution of Pocklington's Equation |
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323 | (1) |
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6.4.5 Transmission Line Model |
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324 | (1) |
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6.4.6 FDTD Solution of Telegrapher's Equations |
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325 | (1) |
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6.4.7 The Leakage Current |
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326 | (2) |
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6.4.8 Computational Examples for the Horizontal Grounding Electrode |
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328 | (3) |
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331 | (6) |
Part II Advanced Models in Bioelectromagnetics |
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337 | (70) |
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7 Human Exposure to Electromagnetic Fields - General Aspects |
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339 | (14) |
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340 | (2) |
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7.1.1 Low Frequency Exposures |
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341 | (1) |
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7.1.2 High Frequency Exposures |
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342 | (1) |
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342 | (2) |
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7.2.1 Coupling to LF Electric Fields |
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343 | (1) |
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7.2.2 Coupling to LF Magnetic Fields |
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343 | (1) |
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7.2.3 Absorption of Energy from Electromagnetic Radiation |
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343 | (1) |
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7.2.4 Indirect Coupling Mechanisms |
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344 | (1) |
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344 | (4) |
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7.3.1 Effects of ELF Fields |
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345 | (1) |
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7.3.2 Effects of HF Radiation |
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345 | (3) |
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7.4 Safety Guidelines and Exposure Limits |
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348 | (3) |
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351 | (1) |
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351 | (2) |
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8 Modeling of Human Exposure to Static and Low Frequency Fields |
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353 | (12) |
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8.1 Exposure to Static Fields |
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354 | (7) |
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8.1.1 Finite Element Solution |
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356 | (1) |
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8.1.2 Boundary Element Solution |
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357 | (3) |
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360 | (1) |
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8.2 Exposure to Low Frequency (LF) Fields |
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361 | (2) |
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362 | (1) |
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363 | (2) |
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9 Modeling of Human Exposure to High Frequency (HF) Electromagnetic Fields |
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365 | (22) |
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9.1 Internal Electromagnetic Field Dosimetry Methods |
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366 | (15) |
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9.1.1 Solution by the Hybrid Finite Element/Boundary Element Approach |
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366 | (2) |
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9.1.2 Numerical Results for the Human Eye Exposure |
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368 | (4) |
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9.1.3 Solution by the Method of Moments |
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372 | (8) |
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9.1.4 Computational Example for the Brain Exposure |
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380 | (1) |
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9.2 Thermal Dosimetry Procedures |
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381 | (2) |
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9.2.1 Finite Element Solution of Bio-Heat Transfer Equation |
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381 | (1) |
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382 | (1) |
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383 | (4) |
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10 Biomedical Applications of Electromagnetic Fields |
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387 | (20) |
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10.1 Modeling of Induced Fields due to Transcranial Magnetic Stimulation (TMS) Treatment |
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388 | (4) |
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391 | (1) |
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10.2 Modeling of Nerve Fiber Excitation |
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392 | (11) |
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10.2.1 Passive Nerve Fiber |
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396 | (1) |
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10.2.2 Numerical Results for Passive Nerve Fiber |
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397 | (1) |
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10.2.3 Active Nerve Fiber |
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397 | (4) |
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10.2.4 Numerical Results for Active Nerve Fiber |
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401 | (2) |
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403 | (4) |
Index |
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