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1 | (44) |
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1 | (9) |
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1.1.1. The Current Density Equation |
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4 | (1) |
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1.1.2. The Independence of Maxwell Equations |
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4 | (1) |
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1.1.3. The Lentz-Neumann Law |
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4 | (2) |
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1.1.4. Polarization and Magnetization |
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6 | (2) |
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8 | (1) |
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9 | (1) |
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1.2. Constitutive Relationships |
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10 | (12) |
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14 | (1) |
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1.2.2. Linear Anisotropic Media |
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14 | (2) |
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1.2.3. Anisotropic Media Classification |
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16 | (1) |
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1.2.4. Linear Dispersive Media. I |
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17 | (2) |
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1.2.5. Linear Dispersive Media. II |
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19 | (1) |
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20 | (1) |
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1.2.7. Fields at Space and Time Boundaries |
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20 | (2) |
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22 | (8) |
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1.3.1. Electromagnetic Energy for Nonlinear Media |
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26 | (1) |
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1.3.2. Poynting's Theorem for Anisotropic Media |
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26 | (1) |
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1.3.3. Poynting's Theorem for Dispersive Media |
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27 | (1) |
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1.3.4. Lossless and Lossy Media |
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28 | (1) |
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1.3.5. The Radiation Pressure |
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28 | (2) |
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1.4. Initial and Boundary Conditions |
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30 | (7) |
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1.4.1. Electric and Magnetic Perfect Conductors |
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32 | (1) |
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1.4.2. The Radiation Condition |
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33 | (2) |
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1.4.3. The Edge Condition |
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35 | (2) |
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37 | (5) |
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41 | (1) |
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1.5.2. The Duality Theorem for Inhomogeneous Media |
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42 | (1) |
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1.6. Summary and Selected References |
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42 | (1) |
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43 | (2) |
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CHAPTER 2. Elementary Solutions |
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45 | (38) |
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45 | (9) |
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48 | (2) |
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50 | (4) |
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2.2. Plane Waves at Discontinuity Boundaries |
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54 | (11) |
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61 | (1) |
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62 | (3) |
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2.3. Radiation from Prescribed Sources |
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65 | (16) |
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2.3.1. Elementary Sources |
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68 | (4) |
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72 | (2) |
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2.3.3. Free-Space Green's Functions |
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74 | (2) |
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2.3.4. Vector and Scalar Potentials |
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76 | (2) |
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2.3.5. Radiation from Moving Sources |
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78 | (3) |
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2.4. Summary and Selected References |
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81 | (1) |
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82 | (1) |
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CHAPTER 3. Spectral Domains |
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83 | (58) |
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3.1. Preliminary Considerations |
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83 | (3) |
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3.1.1. Distributions and Dirac Functions |
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84 | (2) |
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3.2. The Frequency Domain |
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86 | (24) |
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3.2.1. Properties of Transformed Fields and Related Quantities |
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89 | (3) |
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92 | (1) |
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93 | (1) |
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93 | (3) |
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3.2.5. Plane-Wave Propagation in Dispersive Media |
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96 | (5) |
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3.2.6. Plane-Wave Propagation in a Plasma Medium |
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101 | (1) |
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3.2.7. Plane-Wave Propagation in a Conductive Medium |
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102 | (2) |
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3.2.8. Plane Wave at a (Space) Discontinuity Boundary |
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104 | (3) |
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3.2.9. Radiation in Dispersive Media |
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107 | (2) |
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3.2.10. Scalar Green's Function Evaluation |
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109 | (1) |
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3.3. The Wavenumber Domain |
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110 | (5) |
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3.3.1. Radiation from Prescribed Sources |
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112 | (3) |
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3.4. The Wavenumber-Frequency Domain |
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115 | (11) |
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3.4.1. Space Dispersive Media. Compressible Plasma |
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116 | (2) |
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3.4.2. Radiation in Isotropic Homogeneous Media |
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118 | (1) |
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3.4.3. The Resonant Wave Solution |
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119 | (4) |
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3.4.4. Guided-Wave Representation |
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123 | (3) |
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3.5. The Field Representation |
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126 | (12) |
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3.5.1. Fields and the Plane-Wave Spectrum Relationship |
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128 | (2) |
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3.5.2. Asymptotic Evaluation of the Far Field |
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130 | (3) |
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3.5.3. Radiation from Apertures |
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133 | (2) |
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135 | (3) |
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3.6. Summary and Selected References |
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138 | (2) |
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140 | (1) |
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CHAPTER 4. Narrowband Signals and Phasor Fields |
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141 | (86) |
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141 | (14) |
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145 | (1) |
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4.1.2. Linear Operations on Phasors |
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145 | (2) |
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4.1.3. Response of a Linear Time-Invariant Circuit to a Narrowband Signal |
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147 | (1) |
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4.1.4. Quadratic Averages |
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148 | (1) |
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149 | (2) |
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4.1.6. Bandlimited Signals |
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151 | (3) |
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4.1.7. Almost Bandlimited Signals |
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154 | (1) |
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155 | (15) |
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4.2.1. Scalar Product for Complex Vectors and Some of Their Properties |
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160 | (2) |
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4.2.2. Polarization States |
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162 | (1) |
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4.2.3. Stokes Parameters and the Poincare Sphere |
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163 | (5) |
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168 | (2) |
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4.3. Maxwell Equations in Phasor Form |
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170 | (9) |
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4.3.1. Poynting's Theorem |
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171 | (2) |
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4.3.2. The Energy Theorem |
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173 | (2) |
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175 | (1) |
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176 | (1) |
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4.3.5. Duality Transformation |
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176 | (1) |
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176 | (2) |
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4.3.7. The Equivalence Theorem |
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178 | (1) |
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4.4. Plane-Wave Propagation |
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179 | (14) |
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4.4.1. Propagation of a Gaussian Wavepacket in a Plasma Medium |
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184 | (2) |
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4.4.2. Information Scrambling through a Dispersive Channel |
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186 | (2) |
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4.4.3. Plane-Wave Propagation in a Magnetized Plasma |
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188 | (5) |
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193 | (17) |
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4.5.1. Oblique Incidence on a Dielectric Half-Space |
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195 | (6) |
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4.5.2. Guided Propagation along a Dielectric Slab |
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201 | (4) |
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4.5.3. Propagation inside a Parallel-Plate Guide |
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205 | (1) |
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4.5.4. Guided Propagation along Cylindrical Structures |
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206 | (4) |
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4.6. Radiation from Prescribed Sources |
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210 | (15) |
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4.6.1. The Elementary Electric Dipole |
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212 | (3) |
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4.6.2. The Elementary Magnetic Dipole |
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215 | (2) |
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4.6.3. The Elementary Huygens Source |
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217 | (3) |
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4.6.4. Radiation from Planar Sources |
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220 | (2) |
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4.6.5. Radiation from Linear Arrays |
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222 | (3) |
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4.7. Summary and Selected Reference |
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225 | (1) |
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226 | (1) |
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CHAPTER 5. High-Frequency Fields |
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227 | (68) |
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5.1. Asymptotic Form of Maxwell Equations |
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227 | (12) |
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5.1.1. The Transport Equation |
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232 | (1) |
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5.1.2. Rays in a Homogeneous Medium |
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233 | (2) |
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5.1.3. Ray Propagation in a Layered Medium |
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235 | (3) |
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5.1.4. Polarization Change along a Ray |
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238 | (1) |
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239 | (12) |
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5.2.1. Reflector Antennas |
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245 | (1) |
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246 | (2) |
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5.2.3. Guided Propagation |
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248 | (3) |
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5.3. The Ray Coordinate System |
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251 | (9) |
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5.3.1. High-Frequency Propagation in a Homogeneous Environment |
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255 | (1) |
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5.3.2. Ray Amplitude at Reflection Boundaries: The Two-Dimensional Case |
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256 | (2) |
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5.3.3. Ray Amplitude at Reflection Boundaries: The Three-Dimensional Case |
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258 | (2) |
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5.4. Asymptotic Form of Field Representations |
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260 | (32) |
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5.4.1. Scattering by a Conducting Half-Plane |
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266 | (6) |
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272 | (3) |
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5.4.3. Transition Functions |
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275 | (2) |
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5.4.4. The Slope Diffraction Coefficient |
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277 | (2) |
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279 | (5) |
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284 | (8) |
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5.5. Summary and Selected References |
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292 | (1) |
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293 | (2) |
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CHAPTER 6. The Numerical Domain |
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295 | (36) |
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6.1. General Considerations |
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295 | (8) |
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298 | (1) |
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298 | (1) |
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6.1.3. Eigenvalue Computation |
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299 | (2) |
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301 | (2) |
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6.2. The Method of Moments |
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303 | (7) |
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6.2.1. The Electromagnetic Field Integral Equations |
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305 | (3) |
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6.2.2. Scattering by a Metal Strip |
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308 | (2) |
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6.3. The Finite Element Method |
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310 | (14) |
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6.3.1. Elements and Element Bases |
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314 | (6) |
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6.3.2. Guided-Wave Propagation |
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320 | (1) |
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6.3.3. Absorbing Boundary Conditions |
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321 | (3) |
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6.4. The Finite Difference Method |
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324 | (5) |
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6.4.1. Stability and Numerical Dispersion |
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326 | (2) |
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6.4.2. FDM in the Frequency Domain |
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328 | (1) |
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6.5. Summary and Selected References |
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329 | (1) |
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330 | (1) |
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CHAPTER 7. Engineering Topics: Propagation |
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331 | (96) |
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7.1. General Considerations |
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331 | (1) |
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332 | (24) |
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7.2.1. The Telegraphists' Equations |
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336 | (4) |
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7.2.2. Reflection Coefficient and Impedance |
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340 | (5) |
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345 | (2) |
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7.2.4. Multisection Transmission Lines |
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347 | (3) |
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7.2.5. Nonuniform Transmission Lines |
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350 | (3) |
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7.2.6. Multiconductor Transmission Lines |
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353 | (2) |
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7.2.7. Transmission Line Generators |
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355 | (1) |
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7.3. Equivalent Transmission Lines: Two-Dimensional Structures |
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356 | (8) |
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7.3.1. Multilayer Propagation |
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359 | (2) |
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7.3.2. Transverse Resonance |
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361 | (1) |
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7.3.3. Propagation along a Grounded Slab |
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362 | (2) |
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7.4. Equivalent Transmission Lines: Three-Dimensional Structures |
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364 | (34) |
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7.4.1. The Rectangular Waveguide |
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370 | (3) |
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7.4.2. The Circular Waveguide |
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373 | (3) |
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376 | (2) |
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7.4.4. Mode Orthogonality and Power Flux |
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378 | (3) |
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7.4.5. Waveguide Excitation |
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381 | (2) |
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383 | (3) |
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7.4.7. The Inhomogeneous Rectangular Waveguide |
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386 | (2) |
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388 | (1) |
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7.5. Planar Guiding Configurations |
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398 | (2) |
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7.5.1. The Effective Dielectric Constant |
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399 | (1) |
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400 | (25) |
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7.6.1. Computation of Matrix Entries |
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403 | (2) |
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7.6.2. Junction Matrix Properties |
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405 | (3) |
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7.6.3. Shift of Port Position |
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408 | (1) |
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7.6.4. The Three-Port Junction |
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409 | (1) |
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7.6.5. The Four-Port Junction |
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410 | (3) |
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7.6.6. The Directional Coupler |
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413 | (5) |
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7.6.7. Periodic Structures |
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418 | (3) |
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7.6.8. Obstacles in Waveguides |
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421 | (4) |
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7.7. Summary and Selected References |
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425 | (1) |
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426 | (1) |
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CHAPTER 8. Engineering Topics: Radiation |
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427 | (74) |
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8.1. Transmitting and Receiving Antennas |
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427 | (5) |
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8.1.1. Reciprocity Theory and Antennas |
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429 | (3) |
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8.2. Parameters of the Transmitting Antenna |
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432 | (8) |
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8.2.1. The Radiation Parameters of the Elementary Loop Antenna |
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435 | (1) |
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8.2.2. The Radiation Parameters of the Elementary Huygens Source |
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436 | (1) |
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8.2.3. Input Resistance of Elementary Antennas |
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436 | (1) |
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437 | (2) |
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8.2.5. Mechanical Forces on Antennas |
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439 | (1) |
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8.3. Parameters of the Receiving Antenna |
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440 | (7) |
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8.3.1. Power and Polarization Matching |
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443 | (1) |
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8.3.2. The Radio Link Equation |
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444 | (1) |
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8.3.3. Effective Area of Elementary Antennas |
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444 | (1) |
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8.3.4. Noise Temperature of the Antenna |
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445 | (2) |
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447 | (16) |
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452 | (1) |
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8.4.2. The Half-Wave Dipole Antenna |
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453 | (4) |
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8.4.3. The Traveling-Wave Antenna |
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457 | (2) |
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459 | (4) |
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463 | (13) |
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8.5.1. The Rectangular Aperture |
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465 | (5) |
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8.5.2. The Circular Aperture |
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470 | (3) |
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473 | (3) |
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476 | (15) |
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8.6.1. The Parabolic Dish |
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479 | (4) |
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8.6.2. Computation of the Reflector Radiation Diagram via the Current Integration Method |
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483 | (4) |
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8.6.3. Computation of the Reflector Radiation Diagram via Optical Techniques |
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487 | (4) |
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491 | (8) |
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8.7.1. Array with Uniform Excitation |
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494 | (2) |
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8.7.2. Array with Tapered Excitation |
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|
496 | (1) |
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8.7.3. The Binomial Array |
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|
497 | (1) |
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8.7.4. Sum and Difference Patterns |
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498 | (1) |
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8.8. Summary and Selected References |
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|
499 | (1) |
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|
500 | (1) |
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CHAPTER 9. Engineering Topics: Scattering |
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|
501 | (46) |
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501 | (18) |
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9.1.1. The Parallelepiped Cavity |
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506 | (2) |
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9.1.2. The Loaded Coaxial Cavity |
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508 | (3) |
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9.1.3. Multimode Cavities |
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511 | (2) |
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513 | (2) |
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9.1.5. Energy Decay in the Cavity |
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515 | (1) |
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9.1.6. Equivalent Circuit of the Cavity |
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516 | (3) |
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519 | (13) |
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9.2.1. Cylindrical Coordinates |
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523 | (4) |
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9.2.2. Spherical Coordinates |
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527 | (5) |
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9.3. Exterior Scattering via Asymptotic Techniques |
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532 | (12) |
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533 | (3) |
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9.3.2. Scattering by a Planar Rough Surface |
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|
536 | (8) |
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9.4. Summary and Selected References |
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|
544 | (1) |
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|
545 | (2) |
APPENDIXES |
|
547 | (18) |
A. Vector Analysis |
|
547 | (6) |
B. Dyadic Analysis |
|
553 | (2) |
C. Useful Integrals and Series |
|
555 | (2) |
D. Special Functions and Asymptotic Evaluations |
|
557 | (8) |
INDEX |
|
565 | |