Preface |
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xi | |
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1 Introduction to microwaves |
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1 | (12) |
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1 | (1) |
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1 | (3) |
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4 | (1) |
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1.4 Advantages and disadvantages of microwaves for testing, measurements, and gauging |
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5 | (3) |
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1.5 Energy associated with microwaves |
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8 | (1) |
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1.6 Properties of fields at high frequencies |
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9 | (2) |
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1.7 Microwaves and mechanics |
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11 | (1) |
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1.8 Instrumentation and instruments |
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11 | (2) |
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2 Transmission lines and transmission line resonators |
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13 | (84) |
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13 | (2) |
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2.2 The transmission line |
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15 | (2) |
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2.3 Transmission line parameters |
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17 | (2) |
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2.3.1 Calculation of line parameters |
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18 | (1) |
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2.4 The transmission line equations |
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19 | (6) |
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2.4.1 Time-domain transmission line equations |
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24 | (1) |
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2.5 Types of transmission lines |
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25 | (4) |
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2.5.1 The lossless transmission line |
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25 | (1) |
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2.5.2 The long transmission line |
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26 | (1) |
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2.5.3 The distortionless transmission line |
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27 | (1) |
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2.5.4 The low-resistance transmission line |
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28 | (1) |
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2.6 The field approach to transmission lines |
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29 | (3) |
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2.7 Finite transmission lines |
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32 | (16) |
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2.7.1 The load reflection coefficient |
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33 | (2) |
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2.7.2 Line impedance and the generalized reflection coefficient |
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35 | (2) |
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2.7.3 The lossless, terminated transmission line |
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37 | (5) |
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2.7.4 The lossless, matched transmission line |
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42 | (1) |
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2.7.5 The lossless, shorted transmission line |
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42 | (1) |
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2.7.6 The lossless, open transmission line |
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43 | (2) |
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2.7.7 The lossless, resistively loaded transmission line |
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45 | (3) |
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2.8 Power relations on a general transmission line |
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48 | (1) |
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2.9 Passive transmission line circuits |
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49 | (12) |
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50 | (2) |
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52 | (4) |
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2.9.3 Directional couplers |
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56 | (1) |
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2.9.4 Antennas and probes |
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57 | (2) |
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59 | (2) |
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61 | (1) |
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2.10 Transmission line resonators |
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61 | (9) |
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2.10.1 The concept of resonance |
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62 | (1) |
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2.10.2 The series RLC circuit |
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62 | (5) |
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2.10.3 Parallel resonant circuit |
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67 | (3) |
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2.11 Series and parallel transmission line resonators |
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70 | (13) |
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2.11.1 Short-circuited λ/2 transmission line resonator |
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71 | (2) |
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2.11.2 Open-circuited λ/2 transmission line resonator |
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73 | (2) |
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2.11.3 Additional properties of transmission line resonators |
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75 | (3) |
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2.11.4 Tapped transmission line resonators |
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78 | (5) |
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83 | (14) |
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93 | (4) |
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3 Planar transmission lines and coupled structures |
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97 | (34) |
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97 | (1) |
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3.2 Planar transmission lines: the stripline |
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98 | (7) |
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3.2.1 Coupled transmission lines |
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100 | (5) |
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3.3 Waveguides and cavity resonators |
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105 | (12) |
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3.3.1 TE propagation in parallel plate waveguides |
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108 | (1) |
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3.3.2 TM propagation in parallel plate waveguides |
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109 | (1) |
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3.3.3 Rectangular waveguides |
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109 | (2) |
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3.3.4 TM modes in rectangular waveguides |
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111 | (1) |
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3.3.5 TE modes in rectangular waveguides |
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112 | (1) |
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113 | (1) |
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3.3.7 TM modes in cavity resonators |
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114 | (1) |
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3.3.8 TE modes in cavity resonators |
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115 | (1) |
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3.3.9 Energy relations in a cavity resonator |
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115 | (2) |
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3.4 Coupled stripline resonators |
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117 | (2) |
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3.5 Resonant cavity perturbation |
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119 | (12) |
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3.5.1 Whole cavity perturbation, lossless media |
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120 | (3) |
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3.5.2 Cavity perturbation by small, lossless material samples |
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123 | (1) |
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3.5.3 Cavity perturbation, lossy media |
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124 | (4) |
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128 | (3) |
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131 | (50) |
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131 | (2) |
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133 | (12) |
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4.2.1 The scattering matrix and S-parameters |
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136 | (2) |
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4.2.2 Generalized scattering parameters |
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138 | (1) |
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4.2.3 Some properties of S-parameters |
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139 | (1) |
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4.2.4 The ABCD-parameters and the transmission matrix |
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139 | (2) |
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4.2.5 Relations between the various parameters |
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141 | (1) |
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4.2.6 Shift of reference plane |
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141 | (2) |
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4.2.7 Transformations between parameters |
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143 | (2) |
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4.3 Use of the S-parameters for practical measurements |
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145 | (4) |
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146 | (1) |
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4.3.2 Detection of resonance |
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146 | (1) |
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4.3.3 Determination of losses |
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147 | (2) |
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149 | (6) |
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4.4.1 Frequency measurements |
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149 | (3) |
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152 | (2) |
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154 | (1) |
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4.5 Power sensors and detectors |
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155 | (6) |
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4.5.1 Diode power sensors |
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155 | (1) |
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4.5.2 Thermistors, bolometers, and thermocouples |
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156 | (4) |
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4.5.3 Measurement of power density |
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160 | (1) |
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4.6 Measurement of Q-factor of resonators |
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161 | (6) |
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4.6.1 Q-Factors for series resonance |
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163 | (1) |
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4.6.2 Q-Factors for parallel resonance |
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164 | (3) |
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4.7 Measurement of impedance |
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167 | (1) |
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4.8 Measurement of permittivity and loss tangent |
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167 | (2) |
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4.9 Waveguide method of measurement |
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169 | (3) |
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4.10 Cavity perturbation method |
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172 | (3) |
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175 | (6) |
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177 | (4) |
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5 Design of sensors for rubber thickness and fabric-coating monitoring |
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181 | (52) |
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181 | (1) |
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5.2 Sensor design for fabric coatings |
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182 | (24) |
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5.2.1 Sensor modifications and optimization |
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192 | (3) |
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5.2.2 Shielding of the sensor |
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195 | (3) |
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5.2.3 Simulation and optimization |
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198 | (3) |
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5.2.4 Sensitivity to motion of the plates |
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201 | (1) |
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202 | (4) |
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5.3 Sensor design for rubber thickness sensing |
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206 | (19) |
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5.3.1 Simulation and optimization |
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214 | (11) |
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5.4 Alternative sensing strategies |
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225 | (8) |
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225 | (2) |
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5.4.2 Reflection and transmission sensors |
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227 | (4) |
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231 | (2) |
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6 Evaluation of the sensors |
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233 | (30) |
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233 | (1) |
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234 | (1) |
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235 | (3) |
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6.4 Online testing results |
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238 | (12) |
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6.5 Performance evaluation |
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250 | (5) |
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6.5.1 Effect of distance from antenna tips to center plate |
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250 | (2) |
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252 | (2) |
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6.5.3 Effect of cell offset |
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254 | (1) |
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6.6 Calibration of the sensor |
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255 | (8) |
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7 Implementation and testing |
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263 | (22) |
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263 | (1) |
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7.2 The mechanical system |
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263 | (7) |
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7.3 Evaluation of the mechanical system |
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270 | (4) |
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274 | (6) |
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7.5 Compensation for environmental conditions |
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280 | (5) |
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7.5.1 Compensation method |
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282 | (3) |
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285 | (40) |
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285 | (1) |
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8.2 What is a network analyzer? |
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285 | (7) |
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8.2.1 Scalar and vector network analyzers |
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289 | (3) |
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8.3 The measurement process |
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292 | (19) |
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293 | (3) |
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296 | (15) |
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8.4 Measurement of complex permittivity and loss tangent |
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311 | (8) |
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311 | (4) |
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8.4.2 Transmission line methods |
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315 | (3) |
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8.4.3 Measurements in space |
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318 | (1) |
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8.5 Integration of network analyzers in designs |
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319 | (6) |
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321 | (4) |
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Appendix A Electromagnetic radiation safety |
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325 | (6) |
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325 | (1) |
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326 | (3) |
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329 | (2) |
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329 | (2) |
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Appendix B Material properties |
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331 | (8) |
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331 | (1) |
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331 | (3) |
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B.3 Effect of humidity and temperature |
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334 | (5) |
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337 | (2) |
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Appendix C The finite-difference time-domain (FDTD) method |
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339 | (16) |
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C.1 The finite difference time domain equations |
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339 | (6) |
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345 | (1) |
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C.3 Near-to-far-field transformation |
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346 | (1) |
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C.4 Modeling material interfaces |
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346 | (2) |
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348 | (7) |
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351 | (4) |
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Appendix D Selected elements of electromagnetics |
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355 | (28) |
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355 | (4) |
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D.1.1 Maxwell's equations: the time-harmonic form |
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356 | (1) |
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D.1.2 Source-free equations |
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357 | (1) |
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D.1.3 Interface conditions |
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358 | (1) |
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D.2 The electromagnetic wave equation and its solution |
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359 | (4) |
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D.2.1 Time-harmonic wave equations |
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359 | (1) |
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D.2.2 Solution of the wave equation |
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360 | (1) |
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D.2.3 Solution for uniform plane waves in lossless media |
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360 | (3) |
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D.3 Propagation of plane waves in materials |
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363 | (8) |
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D.3.1 Propagation of plane waves in lossy dielectrics |
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363 | (5) |
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D.3.2 Propagation of plane waves in low-loss dielectrics |
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368 | (1) |
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D.3.3 Propagation of plane waves in conductors or high-loss dielectrics |
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369 | (2) |
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D.4 The Poynting theorem and electromagnetic power |
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371 | (5) |
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D.4.1 The Poynting theorem in the time domain |
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371 | (2) |
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D.4.2 The complex Poynting vector |
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373 | (3) |
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D.5 Reflection, transmission, and refraction of plane waves |
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376 | (7) |
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D.5.1 Oblique incidence on a dielectric interface: perpendicular polarization |
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377 | (3) |
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D.5.2 Oblique incidence on a dielectric interface: parallel polarization |
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380 | (2) |
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D.5.3 Reflection and transmission on dielectric interfaces: normal incidence |
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382 | (1) |
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D.5.4 Reflection and transmission on perfect conductors |
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382 | (1) |
Further reading |
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383 | (2) |
Index |
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385 | |