Preface |
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xi | |
Introduction |
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xiii | |
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Chapter 1 General Concepts and Relations |
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1 | (54) |
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1.1 Basic Characteristics |
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1 | (5) |
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1.1.1 Element and Array Radiation Patterns |
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1 | (1) |
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2 | (3) |
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1.1.3 Directivity, Gain, and Efficiency |
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5 | (1) |
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6 | (6) |
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1.2.1 Quasi-Periodic Excitation |
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6 | (3) |
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1.2.2 Aperiodic Excitation |
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9 | (3) |
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1.3 Ideal Element Pattern |
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12 | (14) |
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12 | (2) |
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1.3.2 Contours of the Ideal Element Pattern |
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14 | (2) |
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1.3.3 Element Gain on Ideal Contour |
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16 | (1) |
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1.3.4 Ideal Element Efficiency and Mutual Coupling |
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17 | (3) |
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1.3.5 On Realizability of the Ideal Contour Element Pattern |
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20 | (3) |
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1.3.6 Properties of Orthogonality |
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23 | (3) |
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1.4 Element Pattern with Nonideal Contour |
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26 | (2) |
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1.5 Minimum Number of Controlled Elements |
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28 | (4) |
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29 | (1) |
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30 | (2) |
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1.6 Two-Dimensional Problems for One-Dimensional Periodic Structures |
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32 | (9) |
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1.6.1 Fields at Quasi-Periodical Excitation |
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32 | (3) |
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1.6.2 Excitation of One Array Input |
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35 | (1) |
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1.6.3 Ideal Array Element Characteristics |
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36 | (5) |
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41 | (4) |
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Appendix 1A Array Element Gain on the Ideal Contour |
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45 | (2) |
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Appendix 1B On the Forming of Orthogonal Beams by a Planar Aperture |
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47 | (5) |
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Appendix 1C On the Efficiency of a Dense Array Shaping a Contour Radiation Pattern |
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52 | (3) |
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Chapter 2 Arrays with Beam-Forming Networks |
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55 | (36) |
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2.1 Overview of Technical Solutions |
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55 | (5) |
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2.1.1 Array Based on Butler Matrices |
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55 | (1) |
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2.1.2 Network of J. T. Nemit |
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56 | (1) |
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2.1.3 Network of R. J. Mailloux and P. R. Franchi |
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57 | (1) |
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2.1.4 Network of R. F. Frazita, A. R. Lopez, and R. J. Giannini |
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58 | (1) |
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2.1.5 Network of E. C. DuFort |
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59 | (1) |
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2.2 Multicascaded Chessboard Network |
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60 | (7) |
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2.2.1 Analysis of the Radiation Characteristics |
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61 | (3) |
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2.2.2 Statement and Solution of the Synthesis Problem |
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64 | (3) |
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2.3 Experimental Study of the Chessboard Network |
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67 | (3) |
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2.4 A Linear Array with Chessboard Network as a Feed of a Parabolic Cylindrical Antenna |
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70 | (10) |
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2.4.1 Formulation of the Problem |
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71 | (5) |
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2.4.2 Highest Possible Antenna Gain |
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76 | (1) |
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2.4.3 Results, Comparison, and Discussion |
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76 | (4) |
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2.5 Quasioptical Analogs of the Chessboard Network |
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80 | (6) |
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2.5.1 Features of the Array Geometry |
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81 | (2) |
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83 | (1) |
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2.5.3 Results of Calculations |
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84 | (2) |
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86 | (5) |
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Chapter 3 Arrays of Coupled Dual-Mode Waveguides |
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91 | (30) |
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91 | (5) |
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3.2 An Improved Model for Scanning in E-Plane |
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96 | (8) |
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3.2.1 Array Geometry and Excitation |
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96 | (1) |
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96 | (2) |
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3.2.3 Highest Characteristics at Dual-Mode Excitation |
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98 | (3) |
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3.2.4 Optimization of the Structure |
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101 | (1) |
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101 | (3) |
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3.3 Array Structure for Scanning in H-Plane |
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104 | (5) |
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3.3.1 Features of Geometry and Optimum Excitation |
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104 | (2) |
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3.3.2 Computed Array Characteristics |
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106 | (3) |
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3.4 Experimental Study of the H-Plane Array |
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109 | (12) |
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111 | (2) |
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Appendix 3A Calculation of the Scattering Matrix Elements for the Slots in Waveguide Walls |
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113 | (2) |
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Appendix 3B Analysis of the Modified H-Plane Array Aperture |
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115 | (6) |
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Chapter 4 Arrays with Reactively Loaded Radiators |
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121 | (22) |
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4.1 On Application of Reactive Loads in Array Antennas |
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121 | (2) |
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4.2 Modulated Corrugated Structure Excited by Electric and Magnetic Currents |
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123 | (11) |
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4.2.1 Quasi-Periodic Excitation |
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124 | (6) |
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4.2.2 Radiation Pattern at Local Excitation |
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130 | (1) |
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4.2.3 Shaping of Sector Radiation Pattern |
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131 | (3) |
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4.3 Modulated Corrugated Structure with Active Waveguides |
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134 | (9) |
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4.3.1 Analysis and Synthesis |
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135 | (2) |
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4.3.2 Calculated and Measured Results |
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137 | (2) |
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139 | (4) |
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Chapter 5 Waveguide Arrays with Protruding Dielectric Elements |
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143 | (52) |
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5.1 Waveguide-Dielectric Arrays and Structures |
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143 | (3) |
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5.2 Overview of the Methods and Results |
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146 | (5) |
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5.2.1 Mode-Matching Method |
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147 | (1) |
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5.2.2 Incomplete Galerkin Method |
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147 | (1) |
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5.2.3 Projective Resonator Method |
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148 | (1) |
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5.2.4 Method of Surface Integral Equations and Method of Auxiliary Sources |
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148 | (1) |
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5.2.5 Method of Integral Equations for Polarization Currents |
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149 | (1) |
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5.2.6 Finite Element Method and Commercial Codes |
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150 | (1) |
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5.3 Hybrid Projective Method in Two-Dimensional Problems (E-Polarization) |
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151 | (11) |
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5.3.1 Array Geometry and Excitation |
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151 | (1) |
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5.3.2 Representation of Fields |
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152 | (1) |
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5.3.3 Projective Matching of the Fields on the Boundaries |
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153 | (2) |
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5.3.4 Application of the Finite Element Method |
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155 | (2) |
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5.3.5 Algebraic System and Array Characteristics |
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157 | (1) |
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5.3.6 Realization, Validation, and Numerical Results |
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158 | (4) |
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5.4 Excitation of Array in TEM-Mode (H-Polarization) |
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162 | (14) |
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5.4.1 Statement of the Problem and Representation of the Fields |
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162 | (2) |
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5.4.2 Relations Resulted from Conditions on the Boundaries |
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164 | (2) |
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5.4.3 Finite Element Method for H-Polarized Waves |
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166 | (2) |
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5.4.4 Total Algebraic System |
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168 | (1) |
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5.4.5 Realization of the Algorithm and Discussion of the Array Characteristics |
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169 | (7) |
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5.5 Three-Dimensional Problem |
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176 | (19) |
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5.5.1 Statement of the Problem and Fields in the Structure |
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176 | (4) |
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5.5.2 The Hybrid Projective Method |
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180 | (5) |
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5.5.3 Array Characteristics |
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185 | (1) |
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5.5.4 Results and Discussion |
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186 | (4) |
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190 | (3) |
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Appendix 5A Explicit Expressions for Integrals (5.22), (5.23), and (5.24) |
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193 | (1) |
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Appendix 5B Values of Integrals (5.119) |
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194 | (1) |
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Chapter 6 Arrays with Strip, Disk, and Wire Structures |
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195 | (58) |
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6.1 Experimental Breadboard of Array with Multidisk Radiators |
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195 | (5) |
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195 | (2) |
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6.1.2 Results of Measurement |
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197 | (3) |
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6.2 Waveguide Arrays with Strip Structures |
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200 | (9) |
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6.2.1 Statement of the Problem and Method of Solution |
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200 | (5) |
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6.2.2 Numerical Results and Discussion |
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205 | (4) |
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6.3 Planar Array of Circular Waveguides with Disk Structures |
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209 | (16) |
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6.3.1 Geometry, Excitation, and Field Representation |
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209 | (3) |
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6.3.2 Algebraic System and Array Characteristics |
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212 | (2) |
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6.3.3 Results of Numerical Modeling |
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214 | (7) |
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6.3.4 Results of Breadboarding |
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221 | (4) |
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6.4 Arrays of Yagi-Uda Antenna Elements |
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225 | (8) |
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6.4.1 Problem Formulation and Solution |
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225 | (3) |
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6.4.2 Results of Calculation and Discussion |
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228 | (5) |
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6.5 Arrays of Waveguides with Semitransparent Wire-Grid Walls |
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233 | (20) |
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6.5.1 Statement and Solution of the Problem |
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234 | (4) |
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6.5.2 Realization and Validation of the Algorithm |
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238 | (1) |
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6.5.3 Results of Analysis and Optimization |
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239 | (4) |
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243 | (3) |
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Appendix 6A Calculation of the Green's Function for Doubly Periodic Structures by the Method of M. M. Ivanishin |
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246 | (4) |
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Appendix 6B Accelerating the Convergence of Series (6.57) |
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250 | (3) |
About the Author |
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253 | (2) |
Index |
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255 | |