Preface |
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xv | |
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1 | (8) |
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1 | (1) |
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1.2 Microwave Engineering |
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1 | (1) |
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2 | (2) |
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1.4 The Frequency Spectrum |
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4 | (2) |
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6 | (3) |
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9 | (37) |
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9 | (1) |
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9 | (1) |
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10 | (2) |
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12 | (11) |
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2.4.1 Cartesian Coordinates |
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13 | (3) |
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2.4.2 Cylindrical Coordinates |
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16 | (3) |
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2.4.3 Spherical Coordinates |
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19 | (4) |
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23 | (11) |
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23 | (1) |
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24 | (1) |
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2.5.3 Multiplication by a Scalar |
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25 | (1) |
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2.5.4 Scalar or Dot Product |
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25 | (2) |
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2.5.5 Vector or Cross Product |
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27 | (3) |
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30 | (1) |
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2.5.7 Vector Arithmetic Using MathCad |
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30 | (4) |
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2.5.7.1 Vector Definition |
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31 | (1) |
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2.5.7.2 Magnitude of a Vector Using MathCad |
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31 | (1) |
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2.5.7.3 Multiplication by a Scalar Using MathCad |
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32 | (1) |
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2.5.7.4 Dot Product Using MathCad |
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32 | (1) |
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2.5.7.5 Cross Product Using MathCad |
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33 | (1) |
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34 | (4) |
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2.6.1 Line Integral Using MathCad |
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36 | (2) |
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38 | (4) |
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2.7.1 Surface Integral Using MathCad |
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41 | (1) |
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42 | (4) |
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3 Electromagnetic Field Definitions |
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46 | (30) |
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46 | (1) |
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46 | (5) |
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3.2.1 Volume Charge Density |
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47 | (2) |
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3.2.2 Surface Charge Density |
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49 | (1) |
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3.2.3 Line Charge Density |
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50 | (1) |
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51 | (1) |
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3.2.5 Charge Equivalences |
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51 | (1) |
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51 | (6) |
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3.3.1 Volume Current Density |
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52 | (2) |
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3.3.2 Surface Current Density |
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54 | (1) |
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55 | (1) |
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3.3.4 Current Equivalences |
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56 | (1) |
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3.4 Electric Field Intensity |
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57 | (2) |
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3.5 Electromotive Force (emf) or Voltage |
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59 | (1) |
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3.6 Electric Flux Density |
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59 | (2) |
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3.7 Magnetic Flux Density |
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61 | (2) |
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3.8 Magnetic Field Intensity |
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63 | (1) |
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3.9 Magnetomotive Force (mmf) |
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64 | (1) |
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3.10 Constitutive Equations |
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65 | (4) |
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3.10.1 Dielectric Materials and Permittivity |
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65 | (1) |
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3.10.2 Magnetic Materials and Permeability |
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66 | (1) |
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3.10.3 Conductors and Conductivity |
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67 | (1) |
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3.10.4 Linearity and Superposition |
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68 | (1) |
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69 | (7) |
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4 Maxwell's Integral Equations |
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76 | (42) |
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76 | (1) |
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4.2 Gauss's Law for Electric Flux Density |
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76 | (7) |
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4.2.1 Electric Field of a Point Charge |
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77 | (3) |
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4.2.2 Electric Field of a Uniform Line Charge |
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80 | (2) |
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4.2.3 Electric Field of a Uniform Surface Charge |
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82 | (1) |
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4.3 Gauss's Law for Magnetic Flux Density |
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83 | (1) |
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4.4 Conservation of Charge |
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83 | (6) |
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4.4.1 Relaxation Time Constant in a Conductor |
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84 | (3) |
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4.4.2 Electric Field from a Point Current Source |
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87 | (2) |
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89 | (9) |
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4.5.1 Magnetic Field of a Current-Carrying Wire |
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92 | (2) |
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4.5.2 Magnetic Field of a Uniform Surface Current |
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94 | (1) |
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4.5.3 Magnetic Field of a Point Current Source |
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95 | (1) |
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4.5.4 Magnetic Field of a Point Displacement Current Source |
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96 | (2) |
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98 | (8) |
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4.6.1 Moving Wire--Constant Magnetic Field |
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99 | (3) |
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4.6.2 Stationary Wire--Changing Magnetic Field |
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102 | (4) |
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106 | (7) |
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4.7.1 Tangential Magnetic and Electric Field Intensities |
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107 | (3) |
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4.7.2 Normal Electric and Magnetic Flux Densities and Normal Current Density |
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110 | (3) |
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113 | (5) |
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5 Vector Mathematics II and Maxwell's Equations |
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118 | (42) |
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118 | (1) |
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118 | (6) |
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118 | (1) |
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5.2.2 Cartesian Coordinates and the Del Operator |
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119 | (1) |
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5.2.3 Cylindrical and Spherical Coordinates |
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120 | (1) |
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5.2.4 MathCad Evaluation of the Gradient |
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121 | (3) |
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124 | (12) |
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5.3.1 Cartesian Coordinates and the Del Operator |
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125 | (2) |
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5.3.2 Cylindrical and Spherical Coordinates |
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127 | (3) |
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5.3.3 The Divergence Theorem |
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130 | (2) |
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5.3.4 Differential Form of Gauss's Laws |
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132 | (1) |
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5.3.5 The Equation of Continuity |
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133 | (1) |
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5.3.6 MathCad Evaluation of the Divergence |
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134 | (2) |
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136 | (1) |
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137 | (11) |
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5.5.1 Cartesian Coordinates and the Del Operator |
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138 | (2) |
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5.5.2 Cylindrical and Spherical Coordinates |
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140 | (5) |
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145 | (2) |
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5.5.4 Differential Forms of the Ampere-Maxwell and the Faraday-Maxwell Laws |
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147 | (1) |
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148 | (1) |
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149 | (1) |
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5.8 Summary of Maxwell's Equations |
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150 | (1) |
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5.9 Wave Equation and Homogeneous Solution |
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151 | (5) |
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156 | (4) |
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160 | (70) |
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160 | (1) |
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6.2 Electric Field Intensity for a Charge Distribution |
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161 | (7) |
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6.2.1 Multiple Point Charges |
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162 | (2) |
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6.2.2 Continuous Charge Distributions |
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164 | (4) |
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6.3 Electric Potential and Work in the Electrostatic Field |
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168 | (14) |
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6.3.1 Electric Potential of a Point Charge |
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171 | (1) |
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6.3.2 Multiple Point Charges and Continuous Charge Distributions |
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172 | (4) |
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176 | (3) |
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6.3.4 Line Charge and Paired Line Charge |
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179 | (3) |
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6.4 Fields for Unknown Charge Distributions |
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182 | (3) |
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6.5 Energy in the Electric Field |
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185 | (3) |
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188 | (9) |
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6.6.1 Parallel Plate Capacitor |
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190 | (6) |
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196 | (1) |
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197 | (10) |
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6.7.1 Point Charge Over a Conducting Plane |
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197 | (2) |
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6.7.2 Point Charge Over a Dielectric |
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199 | (2) |
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6.7.3 Parallel Circular Cylindrical Conductors |
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201 | (6) |
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6.8 Poisson's and Laplace's Equations |
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207 | (11) |
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207 | (2) |
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209 | (1) |
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6.8.3 Numerical Techniques |
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209 | (9) |
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6.8.3.1 The Finite Difference Method |
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210 | (8) |
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6.8.3.2 The Finite Element Method |
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218 | (1) |
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218 | (12) |
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230 | (22) |
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230 | (1) |
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230 | (2) |
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7.3 Resistance and Conductance |
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232 | (9) |
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7.3.1 Cylindrical Resistor |
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232 | (7) |
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239 | (2) |
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241 | (5) |
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7.5 Skin Depth and Surface Resistance |
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246 | (3) |
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249 | (3) |
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252 | (41) |
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252 | (1) |
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8.2 Magnetic Field Intensity of a Current Distribution |
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253 | (6) |
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8.2.1 Magnetic Field Intensity of a Current Element |
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253 | (2) |
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8.2.2 Magnetic Field Intensity of Continuous Current Distribution |
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255 | (4) |
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8.3 Magnetic Field of a Current Loop |
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259 | (3) |
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262 | (1) |
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263 | (12) |
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8.5.1 A Solenoid: External Inductance |
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266 | (2) |
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8.5.2 Coaxial Cylinders: External Inductance |
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268 | (5) |
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8.5.3 A Current-Carrying Wire: Internal Inductance |
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273 | (2) |
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275 | (4) |
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8.6.1 Mutual Inductance of a Solenoid with Two Windings |
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278 | (1) |
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8.6.2 Mutual Inductance of a Wire and a Rectangular Loop |
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279 | (1) |
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279 | (7) |
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286 | (7) |
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293 | (43) |
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293 | (1) |
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9.2 Time Harmonic Form of Maxwell's Equations |
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293 | (3) |
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295 | (1) |
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9.3 Transverse Electromagnetic Waves |
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296 | (9) |
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9.3.1 Cylindrical Structures |
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299 | (2) |
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9.3.2 Propagation Constant |
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301 | (2) |
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9.3.3 Wavelength and Wave Velocity |
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303 | (2) |
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9.4 Line Voltage and Current |
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305 | (2) |
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9.5 Transmission Line Parameters: Inductance, Capacitance, and Conductance per Unit Length |
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307 | (3) |
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9.6 Transmission Line Equations |
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310 | (5) |
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9.6.1 Derivation from Maxwell's Equations |
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311 | (2) |
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9.6.2 Imperfectly Conducting Lines |
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313 | (1) |
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9.6.3 Complete Transmission Line Equations |
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314 | (1) |
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9.6.4 Derivation from Circuit Theory |
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314 | (1) |
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9.7 Voltage and Current Wave Equations; Propagation Constant; Characteristic Impedance |
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315 | (9) |
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9.7.1 Circuit Representation of the Transmission Line |
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317 | (1) |
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9.7.2 Distortion, Dispersion, and Distortionless Lines |
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318 | (5) |
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9.7.3 Low-Loss Formulas for r and Z(0) |
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323 | (1) |
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9.8 Printed Circuit Transmission Lines |
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324 | (2) |
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9.8.1 Conventional Waveguides (Rectangular, Circular, and Coaxial) |
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325 | (1) |
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9.8.2 Strip Transmission Lines |
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326 | (1) |
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9.9 Microstrip Line Parameters |
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326 | (5) |
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9.9.1 Simple Approximations to Characteristic Impedance |
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328 | (1) |
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328 | (3) |
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331 | (2) |
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333 | (1) |
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333 | (3) |
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10 The Terminated Transmission Line |
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336 | (81) |
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336 | (1) |
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10.2 Time Harmonic Solutions |
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336 | (9) |
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10.2.1 Lossless Transmission Line |
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339 | (1) |
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10.2.2 Power on the Transmission Line |
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339 | (2) |
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10.2.3 Impedance Transformation |
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341 | (1) |
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10.2.4 Impedance Transformation on a Lossless Line |
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342 | (3) |
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10.3 Reflection Coefficient |
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345 | (10) |
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347 | (5) |
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10.3.2 The Normalized Impedance Plane |
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352 | (3) |
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355 | (8) |
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10.4.1 Uses for the Smith Chart |
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360 | (1) |
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10.4.2 Smith Chart with Admittance Coordinates |
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361 | (2) |
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10.5 Standing Waves and Standing Wave Ratio |
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363 | (6) |
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369 | (13) |
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10.6.1 Natural Frequency: Shorted and Open Lossless Lines |
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375 | (3) |
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10.6.2 Resonant Frequency |
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378 | (4) |
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382 | (16) |
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10.7.1 Quarter-Wave Matching Section |
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383 | (3) |
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10.7.2 Single Stub Matching |
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386 | (2) |
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10.7.3 Broad-Band Matching |
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388 | (2) |
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10.7.4 PSPICE Simulation of Transmission Line Circuits |
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390 | (8) |
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10.7.4.1 PSPICE Quarter-Wave Transformers |
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391 | (2) |
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10.7.4.2 Stub Matching Using PSPICE |
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393 | (5) |
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10.8 Transients on Transmission Lines |
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398 | (11) |
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10.8.1 PSPICE Transient Analysis of Transmission Lines |
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404 | (3) |
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10.8.2 Distortion Revisited |
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407 | (2) |
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409 | (8) |
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11 Reflection and Transmission at Plane Boundaries and Two-Dimensional Waveguides |
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417 | (72) |
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417 | (1) |
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417 | (4) |
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11.3 Propagation Constant and Intrinsic Impedance Formulas |
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421 | (4) |
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11.3.1 Perfect Dielectric Medium |
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421 | (1) |
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11.3.2 Good or Low-Loss Dielectric |
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422 | (1) |
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423 | (1) |
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424 | (1) |
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424 | (1) |
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11.4 Vector Field Polarization |
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425 | (2) |
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11.5 Power and Energy Density: The Poynting Vector |
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427 | (8) |
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11.5.1 Instantaneous Power and Energy |
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428 | (4) |
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11.5.2 Complex Power and Energy |
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432 | (3) |
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11.6 Reflection and Transmission at Plane Boundaries |
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435 | (21) |
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11.6.1 Relations Between Propagation Vectors and Snell's Law |
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435 | (7) |
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11.6.1.1 Snell's Law for Perfect Dielectrics |
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437 | (4) |
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11.6.1.2 Snell's Law for Perfect Dielectric to Conductor Boundary |
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441 | (1) |
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11.6.2 Resolution of Incident Field into TE and TM Fields |
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442 | (3) |
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11.6.3 TE Wave or Perpendicular Polarization |
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445 | (6) |
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11.6.3.1 Perfect Dielectric to Perfect Dielectric Boundary |
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448 | (1) |
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11.6.3.2 Perfect Dielectric to Conductor Boundary |
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449 | (2) |
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11.6.4 TM Wave or Parallel Polarization |
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451 | (5) |
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11.6.4.1 Perfect Dielectric to Perfect Dielectric Boundary |
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453 | (3) |
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11.6.4.2 Perfect Dielectric to Conductor Boundary |
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456 | (1) |
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456 | (7) |
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11.8 Parallel Plate Waveguide |
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463 | (9) |
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11.8.1 Power and Attenuation |
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470 | (2) |
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11.9 Symmetric Dielectric Slab Waveguide |
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472 | (11) |
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11.9.1 Transverse Electric (TE) Wave Solutions |
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475 | (4) |
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11.9.2 Transverse Magnetic (TM) Wave Solutions |
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479 | (2) |
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11.9.3 Wave Impedance and Power |
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481 | (2) |
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483 | (6) |
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12 Three-Dimensional Waveguides and Resonators |
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489 | (63) |
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489 | (1) |
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12.2 Transverse Electric and Transverse Magnetic Wave Solutions |
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489 | (3) |
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12.2.1 Transverse Electric Waves |
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489 | (3) |
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12.2.2 Transverse Magnetic Waves |
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492 | (1) |
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12.3 Separation of Variables: Solution of the Modal Equation |
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492 | (4) |
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12.3.1 Separation of Variables in Rectangular Coordinates |
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493 | (2) |
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12.3.2 Separation of Variables in Cylindrical Coordinates |
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495 | (1) |
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12.4 Rectangular Waveguides |
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496 | (6) |
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12.4.1 Transverse Electric Waves in the Rectangular Guide |
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496 | (5) |
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12.4.2 Transverse Magnetic Waves in the Rectangular Guide |
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501 | (1) |
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12.5 The Dominant TE(10) Mode in the Rectangular Waveguide |
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502 | (9) |
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12.5.1 TE(10) Mode Time Average Power |
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506 | (1) |
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12.5.2 Attenuation Due to Imperfectly Conducting Walls |
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506 | (1) |
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12.5.3 Attenuation Due to Imperfect Dielectric |
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507 | (1) |
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12.5.4 Design Considerations |
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508 | (1) |
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509 | (2) |
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511 | (10) |
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12.6.1 Transverse Magnetic Modes in the Circular Waveguide |
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511 | (4) |
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12.6.1.1 Time Average Power and Attenuation for the TM Mode |
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514 | (1) |
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12.6.2 Transverse Electric Modes in the Circular Waveguide |
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515 | (6) |
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12.6.2.1 Time Average Power and Attenuation for the TE Mode |
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518 | (3) |
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12.7 Dielectric Rod Waveguide |
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521 | (12) |
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12.7.1 Boundary Conditions and Field Solutions |
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523 | (2) |
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12.7.2 TM and TE Modes when n = 0 |
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525 | (2) |
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12.7.3 Hybrid Modes: n = 1, 2, 3,...; The Dominant Mode |
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527 | (6) |
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12.7.3.1 Hybrid Modes when n = 2, 3, 4 |
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529 | (1) |
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12.7.3.2 Hybrid Modes when n = 1; The Dominant Mode |
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530 | (3) |
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533 | (13) |
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12.8.1 Rectangular Resonant Cavity |
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535 | (9) |
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538 | (3) |
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12.8.1.2 Cavity Perturbations: Tuning |
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541 | (3) |
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12.8.2 Circular Resonant Cavity |
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544 | (2) |
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546 | (6) |
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552 | (73) |
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552 | (1) |
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13.2 Voltage, Current, and Impedance |
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552 | (4) |
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13.3 One-port, Two-port, and N-Port Junctions |
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556 | (3) |
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13.4 Z and Y Matrix Description of N-Port Junctions |
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559 | (11) |
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13.4.1 Z and Y Matrices for Two-Port Networks; Series and Parallel Connections of Two-Port Networks |
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564 | (6) |
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13.5 Voltage-Current Transmission (ABCD) Matrix Description of a Two-Port Junction |
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570 | (3) |
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13.6 Scattering Matrix Description of an N-Port Junction |
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573 | (17) |
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13.6.1 Symmetry Property of the Scattering Matrix |
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579 | (1) |
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13.6.2 Unitary Property of the Scattering Matrix |
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580 | (2) |
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582 | (1) |
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13.6.4 Shift of Port Plane |
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582 | (2) |
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13.6.5 Scattering Matrix with a Load Connected to One Port |
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584 | (2) |
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13.6.6 Conversion Between the Z and Y Matrices and the Scattering Matrix |
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586 | (4) |
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13.6.7 Conversion from the ABCD Matrix to the Scattering Matrix |
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590 | (1) |
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13.7 Examples of the Scattering Matrix for Passive Devices |
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590 | (26) |
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591 | (3) |
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594 | (8) |
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13.7.2.1 Inductive Iris in a Rectangular Waveguide |
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595 | (3) |
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13.7.2.2 Capacitive Iris in a Rectangular Waveguide |
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598 | (2) |
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13.7.2.3 Change in Height in the Rectangular Waveguide |
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600 | (2) |
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13.7.3 Three-Port Device: Power Divider |
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602 | (3) |
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13.7.4 Four-Port Device: Directional Coupler |
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605 | (11) |
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13.7.4.1 Definition and Properties |
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605 | (5) |
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13.7.4.2 Branch Line Coupler |
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610 | (6) |
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13.8 S-Parameter Measurements |
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616 | (5) |
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13.8.1 Traditional Vector Network Analyzers |
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616 | (1) |
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13.8.2 Six-Port Network Analyzers |
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|
616 | (5) |
|
|
621 | (4) |
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14 Radiation and Antennas |
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|
625 | (51) |
|
|
625 | (1) |
|
14.2 Field of an Oscillating Current Element |
|
|
625 | (9) |
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14.2.1 Field of a Time Harmonic Current on a Semi-infinite Wire |
|
|
626 | (2) |
|
14.2.2 Field of a Time Harmonic Current Element Located at the Origin |
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|
628 | (2) |
|
14.2.3 Near or Quasi-stationary Field |
|
|
630 | (1) |
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14.2.4 Far or Radiation Field |
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|
630 | (1) |
|
14.2.5 Time Average Power Density and Radiated Power |
|
|
631 | (3) |
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|
634 | (4) |
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|
634 | (1) |
|
|
635 | (2) |
|
14.3.3 Radiation Resistance |
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|
637 | (1) |
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14.3.4 Input Impedance and Efficiency |
|
|
637 | (1) |
|
14.4 Thin Linear Antennas |
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|
638 | (12) |
|
14.4.1 Filamentary Current |
|
|
638 | (2) |
|
14.4.2 Far Field--Power Density and Power |
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|
640 | (2) |
|
|
642 | (3) |
|
14.4.4 Half-Wave Dipole, 2L = XXX/2 |
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|
645 | (3) |
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14.4.5 Full-Wave Dipole, 2L = XXX |
|
|
648 | (2) |
|
|
650 | (15) |
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14.5.1 Pattern Multiplication |
|
|
651 | (1) |
|
14.5.2 Two-Element Arrays |
|
|
652 | (6) |
|
14.5.2.1 Pattern Synthesis |
|
|
654 | (4) |
|
14.5.3 Uniform Linear Arrays |
|
|
658 | (7) |
|
14.5.3.1 Uniform Linear Broadside Array |
|
|
661 | (3) |
|
14.5.3.2 Uniform Linear End-Fire Array |
|
|
664 | (1) |
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14.6 Special Antenna Configurations |
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|
665 | (8) |
|
|
665 | (2) |
|
14.6.2 Reflector Antennas |
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|
667 | (6) |
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14.6.2.1 Sheet Reflectors |
|
|
667 | (1) |
|
14.6.2.2 Corner Reflector |
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|
667 | (5) |
|
14.6.2.3 Parabolic Reflector |
|
|
672 | (1) |
|
|
673 | (3) |
Appendix A Material Constants |
|
676 | (2) |
Appendix B Introduction to MathCad |
|
678 | (6) |
B.1 Variable Definition |
|
678 | (2) |
B.2 Vector and Matrices: Definitions and Operations |
|
680 | (2) |
B.3 Other Useful Functions |
|
682 | (2) |
Appendix C Bessel Functions |
|
684 | (8) |
C.1 Bessel's Equation: Series Solution and Asymptotic Forms |
|
684 | (3) |
C.2 Derivative Formulas and Recursion Relations |
|
687 | (1) |
C.3 Integral Relations |
|
688 | (2) |
C.4 Modified Bessel Functions |
|
690 | (2) |
Index |
|
692 | |