Preface |
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vii | |
About the Authors |
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ix | |
Acknowledgments |
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xi | |
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1 | (10) |
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2 Antenna Array Fundamentals |
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11 | (22) |
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11 | (3) |
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2.2 Antenna Array Radiation Figures |
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14 | (3) |
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2.3 Array Factor Analysis |
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17 | (5) |
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2.4 Mutual Coupling and Antenna Array Reflection Response |
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22 | (4) |
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2.5 Mutual Coupling and Antenna Array Design Validation |
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26 | (3) |
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2.6 Simulation-Based Antenna Array Design |
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29 | (1) |
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2.7 A Concept of Antenna Array Simulation-Based Optimization |
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30 | (1) |
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2.8 Challenges of Antenna Array Simulation-Based Optimization |
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31 | (2) |
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3 Fundamentals of Numerical Optimization |
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33 | (26) |
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3.1 Formulation of the Optimization Problem |
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34 | (1) |
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3.2 Gradient-Based Optimization |
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35 | (16) |
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3.2.1 Optimization using descent methods |
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37 | (5) |
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3.2.2 Newton and quasi-Newton methods |
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42 | (4) |
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3.2.3 Qualitative comparison of descent methods |
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46 | (1) |
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3.2.4 Remarks on constrained optimization |
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46 | (5) |
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3.3 Derivative-Free Optimization |
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51 | (6) |
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3.3.1 Pattern search methods |
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53 | (1) |
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3.3.2 Hooke-Jeeves direct search |
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54 | (1) |
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3.3.3 Nelder-Mead algorithm |
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55 | (2) |
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57 | (2) |
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4 Global Optimization: Population-Based Metaheuristics |
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59 | (26) |
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4.1 Fundamentals of Population-Based Metaheuristics |
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61 | (4) |
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65 | (3) |
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68 | (6) |
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4.3.1 Algorithm flow and representation |
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68 | (1) |
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69 | (1) |
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70 | (1) |
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71 | (1) |
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72 | (1) |
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72 | (2) |
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4.4 Evolutionary Algorithms |
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74 | (2) |
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4.5 Particle Swarm Optimization |
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76 | (1) |
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4.6 Differential Evolution |
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77 | (2) |
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79 | (2) |
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81 | (1) |
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81 | (4) |
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5 Fundamentals of Surrogate-Based Modeling and Optimization |
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85 | (48) |
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5.1 Surrogate-Based Optimization |
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86 | (5) |
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5.2 Surrogate Modeling: Data-Driven Surrogates |
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91 | (11) |
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5.2.1 Modeling flow for data-driven surrogates |
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92 | (1) |
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5.2.2 Design of experiments |
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92 | (2) |
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5.2.3 Data-driven modeling techniques |
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94 | (1) |
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5.2.3.1 Polynomial regression |
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95 | (1) |
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5.2.3.2 Radial basis functions |
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96 | (1) |
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96 | (2) |
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5.2.3.4 Artificial neural networks |
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98 | (1) |
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5.2.3.5 Support vector regression |
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99 | (1) |
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5.2.3.6 Other approximation methods |
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100 | (1) |
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101 | (1) |
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5.3 Surrogate Modeling: Physics-Based Surrogates |
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102 | (7) |
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5.4 Optimization with Data-Driven Surrogates |
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109 | (6) |
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5.4.1 Optimization by means of response surfaces |
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109 | (1) |
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5.4.2 Sequential approximate optimization |
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110 | (3) |
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5.4.3 SBO with kriging surrogates: Exploration versus exploitation |
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113 | (2) |
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115 | (1) |
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5.5 SBO Using Physics-Based Surrogates |
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115 | (18) |
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116 | (3) |
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5.5.2 Approximation model management optimization |
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119 | (1) |
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119 | (1) |
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5.5.4 Shape preserving response prediction |
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120 | (1) |
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5.5.5 Adaptively adjusted design specifications |
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121 | (3) |
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5.5.6 Feature-based optimization |
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124 | (6) |
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130 | (3) |
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6 Antenna Models for Simulation-Based Design |
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133 | (12) |
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6.1 Low-Fidelity Antenna Models in Simulation-Based Optimization |
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133 | (3) |
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6.2 Coarse-Discretization as a Basis of Low-Fidelity Models |
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136 | (3) |
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6.3 Other Simplifications of Low-Fidelity Models |
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139 | (4) |
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6.4 Automated Selection of Model Fidelity |
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143 | (2) |
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7 Element Design: Case Studies |
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145 | (38) |
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7.1 EM-Driven Design of a Planar UWB Dipole Antenna with Integrated Balun |
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145 | (3) |
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146 | (1) |
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7.1.2 Optimization procedure |
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146 | (2) |
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148 | (1) |
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7.1.4 Experimental validation |
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148 | (1) |
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7.2 Design of Compact UWB Slot Antenna |
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148 | (7) |
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149 | (2) |
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7.2.2 Optimization algorithm |
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151 | (1) |
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7.2.3 Numerical results and experimental validation |
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152 | (3) |
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7.3 Optimization of Slot-Ring Coupled Patch Antenna |
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155 | (5) |
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156 | (1) |
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7.3.2 Low-fidelity model selection |
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156 | (3) |
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7.3.3 Results, benchmarking, and experimental validation |
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159 | (1) |
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7.4 Low-Cost Modeling and Optimization of Ring Slot Antenna |
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160 | (8) |
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7.4.1 Modeling methodology |
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161 | (3) |
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7.4.2 Ring slot antenna structure |
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164 | (2) |
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7.4.3 Application examples and experimental validation |
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166 | (2) |
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7.5 Multi-objective Design of Planar Yagi Antenna |
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168 | (6) |
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7.5.1 Antenna structure and problem statement |
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169 | (1) |
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7.5.2 Design procedure and numerical results |
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170 | (3) |
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7.5.3 Experimental validation |
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173 | (1) |
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7.6 Design of Microstrip Patch Antennas |
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174 | (9) |
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7.6.1 Recessed microstrip line fed MPA: Geometry and model setup |
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176 | (1) |
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7.6.2 Recessed microstrip line fed MPA: Optimization procedure |
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177 | (1) |
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7.6.3 Recessed microstrip line fed MPA: Numerical results and experimental validation |
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177 | (1) |
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7.6.4 Slot-energized MPA: Geometry and model setup |
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177 | (2) |
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7.6.5 Slot-energized MPA: Design with optimization, results, and validation |
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179 | (4) |
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8 Microstrip Antenna Subarray Design Using Simulation-Based Optimization |
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183 | (20) |
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8.1 Design Method: Optimization Algorithm |
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184 | (4) |
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8.2 Design Formulation and EM Models of Microstrip Antenna Subarrays |
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188 | (5) |
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8.2.1 MPAS I (one-side configuration) |
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190 | (1) |
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8.2.2 MPAS II (two-side configuration) |
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190 | (3) |
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193 | (6) |
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8.3.1 MPAS I (one-side configuration) |
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194 | (3) |
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8.3.2 MPAS II (two-side configuration) |
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197 | (2) |
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8.4 Validation by Measurements |
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199 | (2) |
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201 | (2) |
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9 Antenna Array Models for Simulation-Based Design and Optimization |
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203 | (10) |
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9.1 Array Factor-Based Models of Antenna Array Apertures |
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205 | (3) |
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9.2 Computational EM Models of Antenna Arrays |
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208 | (4) |
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9.3 Simulation-Based Superposition Models |
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212 | (1) |
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10 Design of Linear Antenna Array Apertures Using Surrogate-Assisted Optimization |
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213 | (40) |
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10.1 Optimum Design of Array Factor Models Using Smart Random Search and Gradient-Based Optimization |
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214 | (9) |
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10.1.1 Problem formulation |
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214 | (1) |
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10.1.2 Optimization methodology |
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215 | (1) |
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10.1.3 Case study 1: Linear end-fire array optimization |
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216 | (1) |
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10.1.3.1 Sidelobe reduction with two variables |
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216 | (2) |
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10.1.3.2 Peak directivity maximization with two variables |
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218 | (1) |
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10.1.3.3 Sidelobe reduction with different phase shifts |
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219 | (3) |
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10.1.3.4 Sidelobe reduction with different phase shifts and spacing |
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222 | (1) |
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10.2 Null Controlled Pattern Design |
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223 | (6) |
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10.3 20-Element Broadside Array Design for Pattern Nulls and Sector Beam |
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229 | (2) |
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10.4 Phase-Spacing Optimization of Linear Arrays Using Simulation-Based Surrogate Superposition Models |
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231 | (20) |
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10.4.1 Array aperture geometry and design problem outline |
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231 | (2) |
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10.4.2 Array factor model for the radiation response estimation |
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233 | (1) |
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10.4.3 Design using optimization of simulation-based surrogates |
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234 | (1) |
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10.4.3.1 Problem formulation: Objective function |
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234 | (1) |
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10.4.3.2 Optimization of the array factor model |
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235 | (1) |
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10.4.3.3 Correction of the simulation-based low-fidelity model |
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235 | (2) |
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10.4.3.4 Optimization algorithm |
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237 | (1) |
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10.4.4 Optimization results |
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238 | (1) |
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10.4.4.1 Optimization with non-uniform spacing and phases |
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239 | (5) |
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10.4.4.2 Optimization with uniform spacing and non-uniform phases |
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244 | (2) |
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10.4.5 Optimized designs as phased array apertures |
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246 | (5) |
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251 | (2) |
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11 Design of Planar Microstrip Antenna Arrays Using Variable-Fidelity EM Models |
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253 | (20) |
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11.1 Planar Antenna Array Design Problem |
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254 | (1) |
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11.2 Design Optimization Methodology |
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255 | (5) |
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11.2.1 Surrogate-based optimization |
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255 | (2) |
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11.2.2 Surrogate-based optimization for array design |
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257 | (3) |
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11.3 Implementation and Numerical Results |
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260 | (4) |
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11.4 Rapid Optimization of Radiation Response |
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264 | (6) |
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11.4.1 Design case: 49-element microstrip array |
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264 | (2) |
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266 | (2) |
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11.4.3 Optimization with non-uniform amplitude excitation |
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268 | (1) |
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11.4.4 Optimization with non-uniform phase excitation |
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269 | (1) |
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270 | (3) |
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12 Design of Planar Microstrip Array Antennas Using Simulation-Based Superposition Models |
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273 | (18) |
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12.1 Design Problem and Array Models |
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274 | (2) |
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12.1.1 Design problem and antenna array geometry |
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274 | (1) |
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12.1.2 Superposition models and discrete EM models |
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274 | (2) |
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12.2 Design Optimization Using Surrogates |
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276 | (3) |
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12.2.1 Design problem formulation: Objective function |
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276 | (1) |
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12.2.2 Low-fidelity model: Model correction |
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277 | (1) |
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12.2.3 Optimization algorithm |
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278 | (1) |
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279 | (8) |
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12.3.1 16-Element Cartesian lattice antenna array |
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280 | (2) |
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12.3.2 100-Element Cartesian lattice antenna array |
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282 | (4) |
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12.3.3 100-Element hexagonal antenna array |
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286 | (1) |
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287 | (4) |
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13 Design of Planar Arrays Using Radiation Response Surrogates |
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291 | (10) |
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13.1 Design Optimization Methodology |
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291 | (4) |
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13.1.1 Problem formulation |
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292 | (1) |
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13.1.2 Response correction of array factor model |
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292 | (2) |
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294 | (1) |
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13.2 Case Study I: 100-Element Microstrip Patch Antenna Array |
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295 | (3) |
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13.3 Case Study II: 28-Element Microstrip Patch Antenna Array |
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298 | (2) |
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300 | (1) |
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14 Simulation-Based Design of Corporate Feeds for Low-Sidelobe Microstrip Linear Arrays |
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301 | (56) |
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14.1 Sidelobe Reduction in Arrays Driven with Corporate Feeds Comprising Equal Power Split Junctions |
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303 | (25) |
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14.1.1 Approach justification |
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303 | (2) |
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14.1.2 Design task, feed elements, and feed architectures |
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305 | (2) |
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14.1.3 Fast models of corporate feeds |
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307 | (6) |
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14.1.4 Realization and simulation-based optimization of aperture-feed structures |
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313 | (9) |
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322 | (6) |
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14.2 Design of Low-Sidelobe Arrays Implementing Requited Excitation Tapers: The Case of Corporate Feeds Comprising Unequal-Split Junctions |
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328 | (27) |
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14.2.1 Approach justification |
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329 | (1) |
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330 | (4) |
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14.2.2.1 Modeling and optimization of unequal-split junctions |
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334 | (2) |
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14.2.2.2 Feed redesign for sidelobe minimization |
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336 | (2) |
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14.2.3 Realization of the design process: Numerical results and measurements |
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338 | (1) |
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14.2.3.1 Example of a taper-oriented design |
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339 | (4) |
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14.2.3.2 Example of an SLL-oriented design |
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343 | (12) |
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355 | (2) |
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15 Design of Linear Phased Array Apertures Using Response Correction and Surrogate-Assisted Optimization |
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357 | (16) |
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15.1 Optimization Methodology |
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358 | (4) |
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15.1.1 Element optimization |
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358 | (1) |
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15.1.2 Correction of the array factor model |
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359 | (1) |
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15.1.3 Design for scanning |
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360 | (2) |
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15.2 Case Study: 16-Element Linear Phased Array |
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362 | (5) |
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15.2.1 Element optimization |
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362 | (2) |
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15.2.2 Optimal excitation taper for the major lobe pointing broadside |
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364 | (1) |
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15.2.3 Optimization for major lobe scanning |
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365 | (1) |
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15.2.4 Experimental validation of the optimal design |
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365 | (2) |
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15.3 Optimal Design as the Phased Array |
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367 | (3) |
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370 | (3) |
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16 Fault Detection in Linear Arrays Using Response Correction Techniques |
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373 | (20) |
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16.1 Fault Detection in Array Antennas |
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374 | (2) |
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16.2 Fault Detection Methodology |
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376 | (9) |
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16.2.1 Surrogate model construction |
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376 | (5) |
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16.2.2 Fault detection using fast enumeration |
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381 | (4) |
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385 | (5) |
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385 | (4) |
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389 | (1) |
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390 | (3) |
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17 Surrogate-Assisted Tolerance Analysis of Microstrip Linear Arrays with Corporate Feeds |
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393 | (16) |
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17.1 Manufacturing Tolerances in Linear Antenna Arrays with Corporate Feeds |
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394 | (1) |
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17.2 Local Surrogate Modeling of Antenna Array Apertures |
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395 | (4) |
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17.2.1 Radiation pattern surrogate of array elements |
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395 | (1) |
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17.2.2 Local modeling of array aperture: Array factor model |
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396 | (1) |
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17.2.3 Local modeling of array aperture: Model correction using response features |
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396 | (3) |
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17.3 Local Surrogate Modeling of Corporate Feeds |
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399 | (1) |
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17.4 Case Study: 12-Element Microstrip Array |
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400 | (9) |
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400 | (3) |
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17.4.2 Results and discussion |
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403 | (6) |
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18 Discussion and Recommendations: Prospective Look |
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409 | (8) |
References |
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417 | (24) |
Index |
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441 | |