List of contributors |
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xv | (1) |
Foreword |
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xvi | (1) |
Acknowledgements |
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xvii | |
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1 Fundamentals of electromagnetism |
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1 | (24) |
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1 | (9) |
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1.1.1 Maxwell's equations in an arbitrary medium |
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1 | (3) |
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4 | (2) |
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6 | (2) |
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1.1.4 Reciprocity theorem |
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8 | (2) |
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10 | (2) |
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1.2.1 Power volume densities |
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10 | (1) |
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1.2.2 Energy volume densities |
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10 | (1) |
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1.2.3 Poynting vector and power |
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11 | (1) |
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1.3 Plane waves in linear media |
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12 | (8) |
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1.3.1 Plane waves in an isotropic linear medium |
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12 | (6) |
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18 | (2) |
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20 | (1) |
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21 | (4) |
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25 | (21) |
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25 | (13) |
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26 | (2) |
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2.1.2 Electromagnetic field in a semi-infinite space with no sources |
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28 | (5) |
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33 | (5) |
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2.2 Kirchhoff's formulation |
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38 | (5) |
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2.2.1 Green's identity and Green's functions |
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38 | (1) |
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2.2.2 Kirchhoff's integral formulation |
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39 | (3) |
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2.2.3 Plane wave spectrum and Kirchhoff's formulation |
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42 | (1) |
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43 | (1) |
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44 | (2) |
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3 Antennas in transmission |
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46 | (24) |
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46 | (6) |
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3.1.1 Vector characteristic of the radiation from the antenna |
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46 | (1) |
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3.1.2 Translation theorem |
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47 | (1) |
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3.1.3 Application: radiation produced by an arbitrary current |
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48 | (3) |
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51 | (1) |
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3.2 Field radiated from an antenna |
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52 | (7) |
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52 | (3) |
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3.2.2 Plane-aperture radiation |
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55 | (4) |
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3.3 Directivity, gain, radiation pattern |
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59 | (6) |
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59 | (1) |
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60 | (1) |
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60 | (2) |
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62 | (1) |
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63 | (2) |
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65 | (1) |
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66 | (4) |
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70 | (17) |
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4.1 Antenna reciprocity theorem |
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70 | (5) |
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4.1.1 Reciprocity theorem applied to a source-free closed surface |
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70 | (4) |
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4.1.2 Relation between the field on transmit and the field on receive |
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74 | (1) |
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4.2 Antenna effective receiving area |
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75 | (2) |
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75 | (1) |
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4.2.2 Relationship between gain and effective receiving area |
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76 | (1) |
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4.3 Energy transmission between two antennas |
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77 | (2) |
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4.3.1 The Friis transmission formula |
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77 | (1) |
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78 | (1) |
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4.4 Antenna behaviour in the presence of noise |
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79 | (5) |
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4.4.1 Power radiated by a body at absolute temperature T |
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79 | (3) |
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4.4.2 Noise temperature of the antenna |
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82 | (1) |
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4.4.3 Noise temperature of the receiving system |
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83 | (1) |
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84 | (1) |
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85 | (2) |
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5 Antennas of simple geometry |
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87 | (30) |
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87 | (14) |
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87 | (5) |
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92 | (9) |
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101 | (12) |
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101 | (6) |
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5.2.2 Travelling wave rectilinear antennas |
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107 | (2) |
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5.2.3 Loops and helical antennas |
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109 | (4) |
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113 | (1) |
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114 | (3) |
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117 | (23) |
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117 | (1) |
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6.2 Different types of printed radiating elements |
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118 | (3) |
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6.3 Field analysis methods |
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121 | (9) |
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6.3.1 Methods of analysis of printed antennas |
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122 | (1) |
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122 | (3) |
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6.3.3 Application to a rectangular patch |
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125 | (3) |
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6.3.4 Application to a circular patch |
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128 | (2) |
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6.4 Input impedance, bandwidth and radiation pattern |
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130 | (7) |
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130 | (1) |
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131 | (3) |
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134 | (1) |
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134 | (3) |
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137 | (1) |
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138 | (2) |
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7 Large antennas and microwave antennas |
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140 | (67) |
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140 | (2) |
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7.2 Structures and applications |
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142 | (10) |
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142 | (3) |
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7.2.2 External characteristics required in applications |
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145 | (7) |
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7.3 Fundamental propagation laws |
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152 | (18) |
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152 | (1) |
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7.3.2 The Huygens-Fresnel principle of wave propagation |
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153 | (1) |
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7.3.3 Stationary phase principle |
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154 | (3) |
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7.3.4 Geometrical optics ray theory |
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157 | (5) |
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7.3.5 Ray theory in quasi-homogeneous media |
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162 | (8) |
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7.4 Antennas as radiating apertures |
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170 | (30) |
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7.4.1 Antenna radiation and equivalent aperture method |
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170 | (1) |
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7.4.2 Examples of microwave antennas and equivalent apertures |
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171 | (3) |
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7.4.3 Far field radiation from an aperture |
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174 | (5) |
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7.4.4 Examples of radiating apertures |
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179 | (7) |
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7.4.5 Polarization of the radiated field: case where the field in the aperture has the characteristic of a plane wave |
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186 | (5) |
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7.4.6 Geometrical properties of the Huygens coordinates |
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191 | (2) |
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7.4.7 Aperture radiation in the near field |
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193 | (3) |
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7.4.8 Gain factor of a radiating aperture |
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196 | (4) |
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Appendix 7A Deduction of the Huygens-Fresnel principle from the Kirchhoff integral |
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200 | (1) |
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201 | (1) |
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202 | (5) |
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207 | (37) |
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207 | (16) |
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207 | (1) |
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8.1.2 General characteristics of primary feeds |
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208 | (7) |
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8.1.3 Radiation from radially-symmetric structures |
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215 | (6) |
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8.1.4 Primary aperture in an incident field |
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221 | (2) |
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223 | (6) |
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223 | (1) |
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8.2.2 Small flare angle horns and open-ended guides |
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224 | (1) |
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225 | (1) |
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226 | (3) |
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8.3 Hybrid modes and corrugated horns |
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229 | (11) |
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8.3.1 Circular aperture radiating a pure polarization |
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229 | (1) |
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8.3.2 Search for hybrid mode waves |
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229 | (6) |
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235 | (5) |
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240 | (1) |
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241 | (3) |
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9 Axially symmetric systems |
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244 | (53) |
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244 | (1) |
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9.2 Symmetry properties -- propagation of polarization, radiation patterns |
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245 | (2) |
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247 | (3) |
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247 | (1) |
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9.3.2 Pupil -- aperture angle -- focal length |
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248 | (1) |
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9.3.3 Equivalent aperture of the system |
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249 | (1) |
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250 | (2) |
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252 | (6) |
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252 | (1) |
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9.5.2 Expression obtained from the primary gain g' and the transfer function |
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253 | (1) |
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9.5.3 Effect of various factors in the gain function |
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253 | (2) |
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9.5.4 Concept of optimal primary directivity |
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255 | (3) |
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258 | (4) |
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9.6.1 Equivalent aperture illumination |
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258 | (1) |
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9.6.2 Axisymmetric primary pattern with pure polarization |
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258 | (2) |
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260 | (2) |
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9.7 Aberrations in axially-symmetric systems |
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262 | (5) |
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262 | (1) |
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9.7.2 Main aberrations in the defocusing plane |
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262 | (5) |
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9.8 Axially symmetric systems considered in reception |
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267 | (12) |
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9.8.1 Effect of transfer function |
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267 | (2) |
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9.8.2 Diffraction in the vicinity of the focus F of an element dS' of a spherical wave S' |
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269 | (1) |
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9.8.3 Analysis of a diffraction pattern -- contribution of an elementary crown of the spherical wave -- hybrid waves |
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270 | (1) |
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271 | (1) |
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9.8.5 Transverse distribution of the diffracted field in the focal plane |
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272 | (1) |
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9.8.6 Axially-symmetric systems with a small aperture XXX(0) |
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273 | (2) |
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9.8.7 Constant transfer function |
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275 | (2) |
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9.8.8 Non-constant transfer function |
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277 | (1) |
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9.8.9 General case: system with a very large aperture |
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278 | (1) |
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9.9 System considered in reception: transfer of the energy contained in the diffraction pattern to the primary aperture |
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279 | (7) |
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9.9.1 Diffraction pattern produced around the focus by an incident non-axial plane wave |
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279 | (2) |
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9.9.2 Radiation pattern of the system associated with a given primary aperture |
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281 | (1) |
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9.9.3 Examples of applications |
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282 | (1) |
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9.9.4 Axial gain of an axially-symmetric system -- effect of the diameter of the primary aperture |
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283 | (3) |
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9.10 Radiation in the Fresnel zone of a Gaussian illumination -- application to the transport of energy by radiation (Gobeau's waves) |
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286 | (2) |
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288 | (1) |
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289 | (8) |
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297 | (66) |
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297 | (1) |
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10.2 The Cassegrain antenna |
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298 | (19) |
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298 | (1) |
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299 | (2) |
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10.2.3 Equivalent primary feed |
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301 | (1) |
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302 | (1) |
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10.2.5 Cassegrain with shaped reflectors |
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303 | (3) |
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10.2.6 Diffraction pattern of the subreflector |
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306 | (6) |
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10.2.7 Blockage by the subreflector |
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312 | (4) |
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10.2.8 Schwartzschild aplanetic reflector |
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316 | (1) |
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317 | (32) |
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317 | (2) |
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10.3.2 General characteristics of radar echoes |
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319 | (5) |
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324 | (8) |
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10.3.4 `Monopulse' antennas |
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332 | (17) |
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349 | (1) |
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10.4 Non axially-symmetric systems |
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349 | (11) |
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349 | (4) |
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10.4.2 Shaped reflectors -- pattern synthesis |
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353 | (7) |
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360 | (1) |
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361 | (2) |
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363 | (88) |
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363 | (5) |
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364 | (1) |
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11.1.2 Bandwidth -- use of delay lines -- subarrays |
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364 | (2) |
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366 | (2) |
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11.2 General structure of a phased array (examples) |
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368 | (10) |
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368 | (5) |
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11.2.2 Examples of array structures |
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373 | (5) |
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378 | (7) |
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11.3.1 Basic equation -- array factor |
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378 | (1) |
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11.3.2 Uniform illumination and constant phase gradient |
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379 | (3) |
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11.3.3 Half-power beamwidth |
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382 | (1) |
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11.3.4 Condition to prevent grating lobes from occurring in the scanning region |
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383 | (1) |
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11.3.5 Effect of weighting of the array illumination function |
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384 | (1) |
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11.3.6 Effect of element directivity |
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384 | (1) |
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11.4 Variation of gain as a function of direction |
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385 | (9) |
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11.4.1 Array operating on transmit |
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385 | (2) |
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387 | (1) |
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11.4.3 Array active reflection coefficient -- mutual coupling |
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388 | (1) |
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11.4.4 Blind angle phenomenon |
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389 | (3) |
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11.4.5 Case where the element spacing is relatively large |
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392 | (1) |
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11.4.6 Study of an array of open-ended guides considered as a periodic structure |
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392 | (2) |
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11.5 Effects of phase quantization |
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394 | (6) |
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11.5.1 Case where all phase shifters are fed in phase |
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394 | (2) |
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11.5.2 Effects of quantization when the phase origin varies from one phase shifter to another |
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396 | (4) |
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11.6 Frequency-scanned arrays |
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400 | (2) |
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11.7 Analogue beamforming matrices |
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402 | (16) |
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402 | (1) |
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11.7.2 General properties of multi-port networks |
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403 | (2) |
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11.7.3 Beamforming applications |
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405 | (3) |
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11.7.4 Examples of matrices |
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408 | (6) |
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11.7.5 Non-orthogonal directional beams |
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414 | (4) |
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418 | (22) |
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418 | (4) |
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11.8.2 Digital beamforming |
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422 | (3) |
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11.8.3 Circular, cylindrical and conformal arrays |
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425 | (9) |
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11.8.4 Sparse and random arrays |
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434 | (6) |
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Appendix 11A Comparison of linear and circular arrays |
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440 | (7) |
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447 | (1) |
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448 | (3) |
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12 Fundamentals of polarimetry |
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451 | (49) |
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451 | (4) |
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12.1.1 Application of polarimetry in radar and telecommunications |
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451 | (2) |
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12.1.2 Some historical references |
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453 | (1) |
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453 | (2) |
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12.2 Fully polarized waves |
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455 | (12) |
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455 | (1) |
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12.2.2 Algebraic representation of elliptical polarization |
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456 | (1) |
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12.2.3 Normalized Cartesian coordinate system |
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457 | (1) |
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12.2.4 Base of circular polarizations |
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458 | (2) |
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12.2.5 Polarization ratio |
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460 | (1) |
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12.2.6 Polarization diagram |
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461 | (3) |
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12.2.7 Polarization coupling to the receiving antenna |
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464 | (3) |
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12.3 Partially polarized waves |
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467 | (12) |
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12.3.1 Definition and physical origin |
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467 | (2) |
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469 | (2) |
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12.3.3 Completely unpolarized wave |
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471 | (1) |
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12.3.4 Completely polarized wave |
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472 | (1) |
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473 | (1) |
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12.3.6 Decomposition of a partially polarized wave |
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474 | (1) |
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12.3.7 Geometrical interpretation of the preceding results: Stokes parameters and Poincare sphere |
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474 | (2) |
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12.3.8 Polarization coupling and Stokes vectors |
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476 | (3) |
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12.4 Polarimetric representation of radar targets |
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479 | (11) |
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479 | (1) |
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12.4.2 Sinclair diffraction matrix |
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479 | (11) |
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12.5 Partially polarized waves: The Mueller Matrix |
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490 | (4) |
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12.5.1 The Mueller matrix |
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490 | (1) |
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12.5.2 Application example |
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490 | (2) |
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12.5.3 Examples of responses to different incident polarizations |
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492 | (2) |
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12.6 Polarizers and polarization separators for telecommunications antennas and polarimetric radars |
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494 | (5) |
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494 | (1) |
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12.6.2 Non-symmetrical polarization separator |
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494 | (1) |
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12.6.3 Semi-symmetrical polarization separator |
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495 | (1) |
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12.6.4 Symmetrical polarization separator (turnstile) |
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496 | (1) |
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12.6.5 Dielectric vane polarizer |
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497 | (2) |
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499 | (1) |
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499 | (1) |
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13 Antennas and signal theory |
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500 | (28) |
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500 | (1) |
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13.2 Equivalence of an aperture and a spatial frequency filter |
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501 | (6) |
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13.2.1 Concept of spatial frequency |
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501 | (1) |
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13.2.2 Consequences of the limitation of the aperture dimensions on the properties of the radiation characteristic function |
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502 | (4) |
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13.2.3 Consequences of the limitation of the aperture dimensions on the `gain' function of the antenna |
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506 | (1) |
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13.3 Synthesis of an aperture to radiate a given radiation pattern |
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507 | (11) |
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13.3.1 Statement of problem |
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507 | (2) |
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13.3.2 Generalization of the approximation method |
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509 | (2) |
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13.3.3 Use of sampling methods |
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511 | (2) |
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13.3.4 Role of phase -- stationary phase method |
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513 | (4) |
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13.3.5 Pattern synthesis for a focusing system |
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517 | (1) |
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13.4 Superdirective antennas |
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518 | (2) |
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518 | (1) |
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13.4.2 Role of the `invisible' domain of radiation |
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518 | (2) |
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13.5 The antenna as a filter of angular signals |
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520 | (5) |
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520 | (1) |
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13.5.2 Optical or microwave imaging and linear filters |
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521 | (1) |
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13.5.3 False echoes and resolving power |
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522 | (1) |
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13.5.4 Case where the antenna is treated as an aperture |
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523 | (1) |
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13.5.5 Spectrum of fixed echoes of a rotating radar |
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524 | (1) |
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525 | (1) |
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526 | (2) |
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14 Signal processing antennas |
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528 | (72) |
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528 | (1) |
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14.2 Synthetic antennas in radar and sonar |
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529 | (8) |
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14.2.1 Principles of synthetic antennas |
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529 | (1) |
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14.2.2 Synthetic receive array with non-directional beam |
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530 | (1) |
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14.2.3 Synthetic receive array with multiple beams |
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531 | (1) |
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14.2.4 Examples of spatio-temporal coding |
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532 | (5) |
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14.3 Imaging of coherent sources |
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537 | (7) |
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537 | (1) |
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14.3.2 Two-source distribution |
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538 | (1) |
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14.3.3 Estimation of the elevation angle of a low-altitude target above a reflecting plane |
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539 | (2) |
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14.3.4 Effect of noise: a posteriori probabilities and decision theory |
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541 | (3) |
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14.4 Imaging of incoherent sources |
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544 | (10) |
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544 | (1) |
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14.4.2 Conditions for incoherence |
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544 | (1) |
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14.4.3 Multiplicative arrays |
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545 | (3) |
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14.4.4 Relationship between an angular distribution of incoherent sources and the observed field: the Van Cittert-Zernicke Theorem |
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548 | (3) |
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14.4.5 Sampling of the coherence function |
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551 | (1) |
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14.4.6 Measurement of the coefficients of correlation or covariance -- C(n-n') |
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551 | (2) |
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14.4.7 The covariance matrix |
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553 | (1) |
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14.5 High resolution imagery and the maximum entropy method |
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554 | (9) |
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554 | (1) |
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14.5.2 Classical method of `correlogram' |
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555 | (1) |
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14.5.3 Method of Maximum Entropy |
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556 | (1) |
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14.5.4 Estimation of T under conditions of Maximum Entropy |
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556 | (1) |
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14.5.5 Factorization of T(XXX) -- properties |
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557 | (1) |
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14.5.6 Determination of the coefficients a(n) in equation (14.71) |
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558 | (2) |
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14.5.7 Generalization: ARMA model |
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560 | (1) |
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560 | (1) |
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14.5.9 Minimum redundance arrays |
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561 | (2) |
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14.6 Other methods of spectral estimation |
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563 | (7) |
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563 | (1) |
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14.6.2 The MUSIC algorithm |
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564 | (3) |
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14.6.3 Other superresolution algorithms |
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567 | (2) |
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14.6.4 Superresolution with circular arrays |
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569 | (1) |
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570 | (20) |
|
|
570 | (1) |
|
14.7.2 What is an adaptive array? |
|
|
570 | (1) |
|
14.7.3 Simple example: two-element array |
|
|
571 | (3) |
|
14.7.4 Howells-Applebaum correlation loop |
|
|
574 | (3) |
|
14.7.5 Minimum noise criterion |
|
|
577 | (1) |
|
14.7.6 Effect of internal receiver noise |
|
|
578 | (1) |
|
14.7.7 Time-domain behaviour of the correlation loop |
|
|
579 | (4) |
|
14.7.8 Multiple correlation loops: the coherent sidelobe canceller (CSLC) |
|
|
583 | (2) |
|
|
585 | (3) |
|
|
588 | (1) |
|
14.7.11 Digital implementation |
|
|
588 | (2) |
|
Appendix 14A Entropy and probability |
|
|
590 | (7) |
|
|
597 | (1) |
|
|
598 | (2) |
|
|
600 | (26) |
|
|
600 | (1) |
|
|
601 | (3) |
|
15.2.1 Comparison with a standard-gain horn |
|
|
601 | (1) |
|
15.2.2 Two-antenna measurement |
|
|
601 | (1) |
|
15.2.3 Three-antenna measurement |
|
|
602 | (1) |
|
|
602 | (2) |
|
15.3 Radiation pattern measurements |
|
|
604 | (13) |
|
15.3.1 Anechoic chambers and far-field ranges |
|
|
604 | (4) |
|
|
608 | (2) |
|
|
610 | (1) |
|
15.3.4 Near-field techniques |
|
|
611 | (2) |
|
|
613 | (3) |
|
|
616 | (1) |
|
|
617 | (3) |
|
|
617 | (2) |
|
|
619 | (1) |
|
15.5 Antenna noise temperature and G/T |
|
|
620 | (2) |
|
15.5.1 Measurement of antenna noise temperature |
|
|
620 | (1) |
|
15.5.2 Direct measurement of G/T using solar noise |
|
|
620 | (2) |
|
15.6 Impedance and bandwidth |
|
|
622 | (2) |
|
|
624 | (1) |
|
|
625 | (1) |
Index |
|
626 | |